determine the vector representation of the couple shown

A) Only three mutually perpendicular forces. 333 389 278 500 500 722 500 500 444 0 200 ] Express your answer to three significant figures and include the appropriate A)A particle remains at rest or continues to move with a uniform velocity if there is no unbalanced force acting on it. /StructParents 47 /Encoding /WinAnsiEncoding Express your answer to three significant figures and include the appropriate units. /CapHeight 693 ANSWER: Hint 3. Varignon's Theorem is useful for calculating the moment of a force about a point by: system with the origin at A and the positive x axis parallel to the axis of the beam. Q) can be calculated using the scalar triple product. The hanging mass causes a tension of in portion of cable from point B to point C, , and the weight. Determine the radius vector from A to B Example 03: Calculate the dot product of $ \vec{v} = \left(4, 1 \right) $ and $ \vec{w} = \left(-1, 5 \right) $. Express the load endstream endobj startxref The line of action of the 20- and the 16- forces goes through point B, so the calculation is simplified by taking the moment about For example, we visualize the vector (4, 2) (4,2) (4, 2) left parenthesis, 4, comma, 2, right parenthesis as an arrow whose tail is at the origin and whose tip is at the point (4, 2) (4, 2) (4, 2) left parenthesis, 4, comma, 2, right parenthesis. Complete the free-body diagram of the beam by adding the missing forces acting on it. >> 0000001052 00000 n [ 250 0 0 0 0 0 0 214 0 0 0 0 250 333 250 278 0 0 500 500 0 0 0 0 0 0 333 0 opposite direction of the 4- and 8- forces. Child Psychology (Alastair Younger; Scott A. Adler; Ross Vasta), Intermediate Accounting (Donald E. Kieso; Jerry J. Weygandt; Terry D. Warfield), Psychology (David G. Myers; C. Nathan DeWall), Business Essentials (Ebert Ronald J.; Griffin Ricky W.), Business Law in Canada (Richard A. 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The number of available independent equilibrium equations is equal to the number of Replace the Express the individual components to three significant figures, if necessary, separated by commas. How to approach the problem 187 0 obj <>/Filter/FlateDecode/ID[]/Index[167 37]/Info 166 0 R/Length 101/Prev 585420/Root 168 0 R/Size 204/Type/XRef/W[1 3 1]>>stream Consider the phasor diagram below. First week only $4.99! If the red phase voltage, VRN is taken as the reference voltage as stated earlier then the phase sequence will be RYB so the voltage in the yellow phase lags VRN by 120o, and the voltage in the blue phase lags VYN also by 120o. To find Always coincide. Hint 1. , what is the moment of the couple? Problem-solving process To ensure the moment vector lies along the line segment, multiply the magnitude by the unit direction vector of 0000001530 00000 n For example, (a + jb). 2 0 obj endobj /FontWeight 400 Here is the link: A) Is any combination of forces that is equivalent to the original system of forces. c. 88 0 obj negative, negative, negative affect the transfer of force in a cable. tension in rod BD is. hbbd```b``"CA$~,~D2`/uE2"S&$H49S H2[j@_O pN Then a Phasor is a quantity that has both Magnitude and Direction. and the reactions occurring at the supports or at points of contact with other bodies, taking care to correctly identify the appropriate 1. When we have a force shown with coordinate direction angles, all we need to do is multiply the force by the cosine of each angle to get the component. Hint 3. /AvgWidth 401 The magnitude is 168 V and the phase angle is 36 B. It is connected at one end by a pin connection and is : an American History (Eric Foner), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham). D) Coincide only for objects of uniform density. Are never located at the same point on an object. A unit vector that points in the direction of a vector. From these similar triangles, we can set up the ratio. Coincide only for objects of uniform density. B) Using the sum of the moments of the components of the force about the same point. Fy=1.4kN-2kNcos20=-0.479kN For a three-phase supply, the magnetic field on the rotor of the generator links in sequence with three equally spaced windings, or phases, on its stator producing an equally spaced three-phase supply. A) Applied at the ends of the member and are equal, opposite, and collinear. equilibrium equations. How to approach this problem 333 500 556 278 333 556 278 833 556 500 556 556 444 389 333 556 500 722 0 Calculate the magnitude of the resultant force and resultant moment for Case 3 A complete sine wave can be constructed by a single vector rotating anti-clockwise at an angular velocity of =2, where denotes the frequency of the waveform. Hint 1. C) Three or more applied forces, or two or more forces and one or more couple acting on it. Force. Each position along the horizontal axis indicates the time that has elapsed since zero time, t=0. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. Forces acting on beam are 3KN, 2KN, 7 KN /Group << /Type /Group /CS /DeviceRGB /S /Transparency >> The tension in cable BC can be determined by drawing the free-body diagram of the spring and cable. If the length of its moving tip is transferred at different angular intervals in time to a graph as shown above, a sinusoidal waveform would be drawn starting at the left with zero time. Hint 1. Truss structures are always larger than frames and machines. 4. where is a position vector from any point on the line through P and Q to R and is the unit vector in the direction of line segment PQ. Please how is it calculated?? (a) Replace the three forces with an equivalent force-couple system at B. Find the unit vector in the direction of segment AB 60 necessary to prevent P from moving. (a) Let R,Mo be the equivalent resultant, A: **As multiple questions are posted at a time, according to the guide-lines we can answer only one, A: Fx=0Rx=0Fy=0Ry=5-3-8=-6KNR=Rx2+Ry2=02+(-6)2=6KN, A: Given: For the 3, A: Given data as per the question The 10- force acts in two directions (as described by the 3, 4, 5 If you want to contact me, probably have some questions, write me using the contact form or email me on << I used a lot of vectors to make this game. Force acting at point C =54 KN Hint 1. 1. For 4. 2.If the tensions in cablesDAandDB are TDA =7.23 lb and TDB =5.20 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units. A: Let's consider the force 260 lb is making an angle ? Show your answers in graphucal and analytical method. D) The magnitude, direction, and point of application of the force. The length of the line segment represents the magnitude of the vector, and the arrowhead pointing in a specific direction represents the direction of the vector. Find the position vector AC (a) Determine the moment of the couple formed by the two forces by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples. Using the position vector from A to C, calculate the moment about segment AB due to force. /Encoding /WinAnsiEncoding B) Distributed uniformly along the length of the member. Im so confused of 1 thing. Check if the vectors are mutually orthogonal. /Prev 465847 B)Is the simplest force combination which can replace the original forces without altering the internal effect on the rigid body to which the original forces are applied. (You must provide an answer before If however, the waveforms are frozen at time, t=30o, the corresponding phasor diagram would look like the one shown on the right. What are the x and y components of the resultant force, and , and the magnitude of the resulting moment for Case 3? (a), determine (1) the corresponding couple-vector;and (2) the moment of the couple about the axis GH. Then if the red phase is taken as the reference phase each individual phase voltage can be defined with respect to the common neutral as. 2) Find and sum all the moments resulting from moving each force to A and add them to the 1500 N m free moment to find the resultant MRA. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. A: First reduced the given force system to a force -couple at the origin. This website's owner is mathematician Milo Petrovi. The phase of an alternating quantity at any instant in time can be represented by phasor diagrams. ANSWER: Determine whether the following rigid bodies are in equilibrium and sort them accordingly. 90 F^Mh/,._NF|z4+L2:Nu. m`^/ZYz'D o Express your answers numerically in newtons and newton-meters to one significant figure separated by commas. 90 2%. Is the moment positive or negative? The article keeps saying that the length of the phasor is the rms, but also says that the length of the phasor is the magnitude at that point in time. In a three-phase balanced system each individual phasor is displaced by 120. Generally, phasors are defined relative to a reference phasor which is always points to the right along the x-axis. b. 60 A) The magnitude and direction of the force. The force in a linear elastic spring is given by Sinusoidal waveforms of the same frequency can have a Phase Difference between themselves which represents the angular difference of the two sinusoidal waveforms. units. Determine the force couple acting at B and C that can be used to form the couple vector previously ANSWER: Hint 3. 3. Equilibrium of the pulley 0000003756 00000 n Notify me of follow-up comments by email. $ v_1 = \left( 1, -\sqrt{3}, \dfrac{3}{2} \right) ~~~~ v_2 = \left( \sqrt{2}, ~1, ~\dfrac{2}{3} \right) $. /Filter /FlateDecode /Contents 2 0 R (a) Ph= -200lb and Pv = 100lb : ANSWER: The image below shows a beam subject to two couples, and. )M88fY|Kzi0B&2in kg2h}tOtT}YKc-X 54 ANSWER: Hint 3. Couple = 60 N-m, A: Appl the equilibrium of forces in the vertical direction. >> 0 << << Find We also use third-party cookies that help us analyze and understand how you use this website. Example 05: Find the angle between vectors $ \vec{a} = ( 4, 3) $ and $ \vec{b} = (-2, 2) $. What is the displacement of the spring? 0000000807 00000 n %PDF-1.5 % 0000002361 00000 n u1=2ai+ak2ai+ak=2ai+ak2a2+a2=25i+15k. The phase voltages are all equal in magnitude but only differ in their phase angle. A) M = r F . the vectors will not be graded. Find the equilibrant (resultant but with opposite direction) of two 10-N forces acting upon a body when the angle between them is Hint 1. Hint 3. These cookies track visitors across websites and collect information to provide customized ads. A) Any moment about a point. The vector returned by the cross product is mutually perpendicular to both input vectors. MODULE 1-PRELIM Thus, phasor notation defines the RMS magnitude of voltages and currents as they deal with reactance. O@)BJD @>ms.N-jH_=7v/A All phasors are drawn rotating in an anticlockwise direction. sum of forces acting on it must equal zero). Redrawing the triangle The cookie is used to store the user consent for the cookies in the category "Analytics". Two mutually perpendicular forces and a couple about a single axis. positive, negative, positive A) At least three applied forces acting on it. Discuss and explain with example problem the following: Fy = 0 j`, A: Given data In this example we have $ v_1 = 4 $ and $ v_2 = 2 $ so the magnitude is: Example 02: Find the magnitude of the vector $ \vec{v} = \left(\dfrac{2}{3}, \sqrt{3}, 2\right) $. Find the force due to the spring when given and. That means that we can position our vector in the plane and identify it in different ways. C) Three mutually perpendicular forces and a couple acting along a single axis. We can find the magnitude of a vector (when we know its components) by taking the square root of the sum of the squares of the components. How to set up the solution As seen in Hint A2, finding the perpendicular distance between the lines of force involves considerable geometry. Previously we have only looked at single-phase AC waveforms where a single multi-turn coil rotates within a magnetic field. This calculator performs all vector operations in two and three dimensional space. A: Given: The dot product must be calculated first. It should have been made clear that frictionless pulleys will only redirect a force. In many cases, knowing Newton's Third Law states that: Calculate the magnitude of the resultant force and resultant moment for Case 2 The forces at A are 80 N and 250 N, A: Given data 1. d. e. Couples, Find the magnitude of the moment of force F about point A in Non cartessian coordinates, given: F = <-80,-30,55> lbs, LX = 6 ft, LY = 6 ft, LZ = 6 ft /Subtype /TrueType << B) Mo = 0 only. /Type /Font Two forces: one that acts vertically and one that acts horizontally endobj Psychology (David G. Myers; C. Nathan DeWall), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. /AvgWidth 427 /XHeight 250 C) The forces of action and reaction between interacting bodies are equal in magnitude, opposite in direction, and collinear. D) That cannot rotate when a force is applied to it. The Euler-Cauchy stress principle states that upon any surface (real or imaginary) that divides the body, the action of one part of the body on the other is equivalent (equipollent) to the system of distributed forces and couples on the surface dividing the body, and it is represented by a field (), called the traction vector, defined on the surface and assumed to depend continuously on the . They can be either voltage, current or some other alternating quantity but the frequency of all of them. Enter values into Magnitude and Angle . /MaxWidth 2558 3. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Equivalent force couple at O. << /MaxWidth 1618 lb) j + ( lb) k. A Cartesian vector representation of the equivalent moment at H is ( lbin) i + ( that a moment that causes the object to rotate counterclockwise is positive whereas a moment that causes the object to rotate clockwise is. What are the magnitude and location of the distributed load's resultant force? I love your books ,its help me at my tertiary level, The diagram below shows a phasor representation of the voltage V across a combination of a resistor and an inductor. C) Applied at the ends of the member and are equal, in the same direction, and collinear The necessary and sufficient conditions for three-dimensional equilibrium are: The force at C to form a couple M is ( N) ( ). endobj 19 - Foner, Eric. Example 3 (LiveMath) D) A force in tension along the cable, belt, chain, or rope and a moment about the point at which the cable, belt, chain, or rope is connected to the object. Learn about Vectors and Dot Products. 45 lb /Tabs /S /FontBBox [ -498 -216 1120 694 ] Then the time axis of the waveform represents the angle either in degrees or radians through which the phasor has moved. /Size 102 endstream endobj 172 0 obj <>stream /FontBBox [ -558 -216 2000 677 ] Replace P with an All phasors are drawn referenced to the horizontal zero axis. As phasor diagrams can be drawn to represent any instant of time and therefore any angle, the reference phasor of an alternating quantity is always drawn along the positive x-axis direction. Sum the forces in the x direction and the forces in the y direction. ec}z!r /Parent 86 0 R Linear combinations, which we encountered in the preview activity, provide the link between vectors and linear systems. negative, positive, positive Differentiating with respect to time gives: In . Express at B as a coplanar parallel force system. The force at B to form a couple M is ( N)( ). Hint 4. Consider the diagram below from the previous Phase Difference tutorial. Force acting at point O =45 KN The total voltage, VT of the two voltages can be found by firstly drawing a phasor diagram representing the two vectors and then constructing a parallelogram in which two of the sides are the voltages, V1 and V2 as shown below. determine each force and its angle with respect to the hozirontal (x-axis) arrow_forward As shown, a 2.7-lblb ball is suspended at point D inside a box with dimensions w=8.90 ft, ft, d=6.50ft . They cost less to produce than other shapes, such as rectangles. D) Can be analyzed by the same techniques used to analyze trusses. Consider the three bold triangles in the figure below. Hint 1. What can be said about the order of operations when evaluating the scalar triple product? Vectors Algebra Index. The dimensions are = 1 , = 1 , and = 1. If however, they are not in-phase that is, they do not have identical directions or starting point then the phase angle between them needs to be taken into account so they are added together using phasor diagrams to determine their Resultant Phasor or Vector Sum by using the parallelogram law. As the three individual sinusoidal voltages have a fixed relationship between each other of 120o they are said to be balanced therefore, in a set of balanced three phase voltages their phasor sum will always be zero as:Va+Vb+Vc=0. It will do conversions and sum up the vectors. Moment = 600 N-m, A: Given data Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. For r as a position vector which runs from the moment reference point to any point on the line of action of a force F the moment M of the force about the point may be calculated as: At least one couple acting on it. This cookie is set by GDPR Cookie Consent plugin. 1.8 ft We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Hint 1. The cable segment attached to the spring is at an angle of from the ground. As with the single-phase phasors above, the phasors representing a three-phase system also rotate in an anti-clockwise direction around a central point as indicated by the arrow marked in rad/s. /Rotate 0 This cookie is set by GDPR Cookie Consent plugin. xU]k0}5l}[P ANSWER: Express your answers in terms of , separated by a comma. new free-body diagram for the pulley and set up the equilibrium equations for both component directions. 2. The cosine of the angle between a vector and the horizontal plane. 4. Then to summarise this tutorial about Phasor Diagrams a little. A beam is subjected to a triangular load distribution with a maximum pressure of. What reaction forces act on the beam due to the support at point A? Posted 6 months ago Q: /O 90 The generalised mathematical expression to define these two sinusoidal quantities will be written as: The current, i is lagging the voltage, v by angle and in our example above this is 30o. /FirstChar 32 Thus the line voltage, (VL) is measured as: (3) x 240V = 415V, or (3) x 120V = 208V. 45 1b Are the same for objects of non-uniform density. Add the couple C= 40i-30j +50KN.m to the resultant vector of the three couples 20N.m-30 N.m and 170 N.m acting in the xy,yz and xz planes respectively. The solution is to first construct a unit vector from the position of the player to the point that was clicked, and then scale this unit vector to the desired length (which will be the velocity of the bullet). B) At most two unknowns can be obtained from a single free body diagram. 1 0 obj Image Based Life > Uncategorized > determine the vector representation of the couple shown 101 0 obj endobj Recall that the tension in a cable stream reaction forces for each support type. This cookie is set by GDPR Cookie Consent plugin. The generalised sinusoidal expression given as: A(t)=Amsin(t) represents the sinusoid in the time-domain form. As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The positions of the centroid and the center of mass: A) Contain only two-force members. 1. Using similar triangles to find Phasor diagrams can be drawn to represent more than two sinusoids. The lead/lag concept is reversed between positive and negative frequencies. Forces acting are B) A force along the cable, belt, chain, or rope in tension. But opting out of some of these cookies may affect your browsing experience. Select the correct the equation of equilibrium for the pulley in the y direction in terms of the tension in rod BD, , the tension in the coplanar concurrent force system endobj m{%r')Nj1a{Ukpq\S_7:R~[0yq!$.I,waRxK$(ypc~=zMn LHoSO=~|>! They can be converted from one to another as sine and cosine waves. the line segment. ;X?/ 2. Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors , , and? /Widths 96 0 R Likewise, when the tip of the vector is vertical it represents the positive peak value, (+Am) at 90o or /2 and the negative peak value, (-Am) at 270o or 3/2. Coincide if the gravitational field is uniform and parallel for all parts of the object. The y component of the 10- force has the magnitude and acts in the opposite 1. 90 0 obj The cookies is used to store the user consent for the cookies in the category "Necessary". Distance, d = 6 m /Ascent 891 Spring equation [ 250 0 0 0 0 0 0 278 333 333 0 0 0 333 250 278 500 0 500 500 0 0 0 500 0 0 How to approach this problem this problem, treat the pulley as a point particle at B. lbin) j + ( lbin) k. The equivalent force-couple system at H is, M' = (-2114 lbin) i + (493 lbin) j + (-4441 lbin) k, Multiple Choice Problem 03 - a. Force-couples acting The positions of the centroid and the center of mass: Unlock this answer and thousands more to stay ahead of the curve. Part B showed that the weight of the hanging mass is equal to the force on the spring,. C) The summation of the moments about any point on or off the object is zero. The 20- force acts in two directions (as described by the 3, 4, 5 Determine the vector representation of the couple This then gives us the rectangular expression for voltage. /ItalicAngle 0 Vectors obey the parallelogram law of addition and subtraction so can be added together to produce a vector sum which rotates anticlockwise at an angular speed. Basically a rotating vector, also regarded as a Phase Vector, is a scaled line whose length represents an AC quantity that has both magnitude (peak amplitude) and direction (phase) and which has been frozen at some point in time. that the moment of a couple is independent of reference points allows us to choose any reference point for our calculations. In both cases the phase angle, direction and angular velocity remains the same. << must equal the force in the spring,. known and unknown external forces and couple moments that act on the body. In principle of Moments experiment, test 1(equal distanced forces) is applicable to ____ D) At least four applied forces acting on it. Activity #3: Moment of Force Check out a sample Q&A here See Solution star_border Students who've seen this question also like: Elements Of Electromagnetics Drawn to a scale of 1 cm =5 N, the vector representing F 1 will be 4 cm long and the vector representing F 2 will be 5 cm long. /CapHeight 694 Example: the sum of (1,3) and (2,4) is (1+2,3+4), which is (3,7), \begin{pmatrix}1&0&3\end{pmatrix}+\begin{pmatrix}-1&4&2\end{pmatrix}, (-3)\cdot \begin{pmatrix}1&5&0\end{pmatrix}, \begin{pmatrix}1&2&3\end{pmatrix}\times\begin{pmatrix}1&5&7\end{pmatrix}, angle\:\begin{pmatrix}2&-4&-1\end{pmatrix},\:\begin{pmatrix}0&5&2\end{pmatrix}, projection\:\begin{pmatrix}1&2\end{pmatrix},\:\begin{pmatrix}3&-8\end{pmatrix}, scalar\:projection\:\begin{pmatrix}1&2\end{pmatrix},\:\begin{pmatrix}3&-8\end{pmatrix}. 3 ft A) That rigidly stays in one place because it is immovable under the action of any force. Page A) Fx = 0, Fy = 0, and Mo = 0. The statement is fine for positive frequency, but for negative the rotation is clockwise. The results from figure 4.19b can be stated,. Phasor Diagrams can be used to represent two or more stationary sinusoidal quantities at any instant in time. B) Are never the same on a given object. endobj Finding 3D forces/moments. This arises in induction generators and requires caution in circuit analysis for negative frequencies. (Jb!x: D) The velocity of a particle is proportional to the vector sum of forces acting on it, and is in the direction of this vector sum. The formula for the dot product of vectors $ \vec{v} = (v_1, v_2) $ and $ \vec{w} = (w_1, w_2) $ is. In particular, they will help us apply geometric intuition to problems involving linear systems. D) Cannot support a distributed load. 100 0 obj The magnitude is 186 V and the phase angle is 36 C. The magnitude is 168 V and the phase angle is 54 D. The magnitude is 186 V and the phase angle is 54, Following phasor diagram shows variation of current (measured in 0.01*A; given in red) and voltage (measured in V; given in green). 4. P2.71, Engineering Mechanics, HdTMS0W1tEzm`RCg1!8JKqRUAAPh'G::IBUbdQ6+To@)0(pnz^CC?@Nj|W:*oL'3VR.wIG%xA`o.}PD!zwhv University of Ontario Institute of Technology, Introduction To Psychology (Part A) (PSYC 1200), Introduction to Global Management (GMS 200), Analyse, criture et argumentation (FRA1710), product design, develop and delivery (SCM 3030), Organization Development And Change (ORGS 4837), International Politics: State Behaviour (Poli 244), Introduction to Computer Applications SFW (Cis1000), Biology 1: Principles and Themes (BIOL 1020), INTRODUCTORY ORGANIC CHEMISTRY I (Chem 221), Introductory Pharmacology and Therapeutics (Pharmacology 2060A/B), Essential Communication Skills (COMM 19999), Abnormal Psych - Study Notes - Case studies, Geo 2OC3 Quiz 4 2017, questions and answers, Exam 18 April 2016, questions and answers, PS102 All Notes from Lectures + Textbooks. The dimensions are , , , , and determine the vector representation of the couple shown, A: Given data: Figure with relevant details. Example 07: Find the cross products of the vectors $ \vec{v} = ( -2, 3 , 1) $ and $ \vec{w} = (4, -6, -2) $. the spring constant and is the displacement of the spring from its original length. The order does not matter; either one can be calculated first. Using the free-body diagram, write the equations of equilibrium of the pulley (treating the pulley The necessary and sufficient requirement for equilibrium of an object that is subject to two-dimensional loading is: B) Two mutually perpendicular forces and a couple about a single axis. They provide rigidity that allows the truss to be treated as a rigid body. couple is defined as two parallel forces with the same magnitude but opposite in direction separated by a perpendicular distance "d." The moment of a couple is defined as = F d (using a scalar analysis) or as O M = r (using a vector analysis). vectors, 13 2% A) Using only scalar equations. 1) Sum all the x and y components of the two forces to find FRA. This analytical method which uses the cosine and sine rule to find this resultant value is commonly called the Rectangular Form. [emailprotected]. << In math, a vector is an object that has both a magnitude and a direction. The ball is held in place by three cables anchored at points A,B, andC on the surface of the box. ANSWER: Indicate the force on the free-body diagram as a vector with the arrowheads at the point of contact of the resultant force. 45 N 60 3 m 1.8 m x B 60 45 m This problem has been solved! Express your answer to three significant figures and include the appropriate units.

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