Rope AC exerts a 376 lb force (F) at A. . Write the vector F in cartesian vector notation. Find the magnitude of the projection of force F along cable AB. Write this projection as a cartesian vector.

Q: b) Find the magnitude R of resultant force R. c) Find Rx ad Ry components of the resultant force R.

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Q: (1) Find the sum of the two forces and the moment at point A. (2) Find the position where the…

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Q: Given the figure at the right, find the resultant of F1 and F2 (in vector form)

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Q: Determine the magnitude and the cartesian form of the component of the force F acting along the line…

A: The points in the vector form can be expressed as, The unit vector along AD is

Q: From the given figure of space force on the right, determine the: 6. EF along x-axis

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Q: Two forces, F1 and F2, act on an eye bolt. If the resultant force (FR) has a magnitude of 150 [lb]…

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Q: Use the dot product to find the angle between the position vectors A and B

A: From the given figure, calculate OC using the Pythagoras theorem. OA=180 mm2+200 mm2cos40°…

Q: Given the Position vector R= -i+ 6j + 3k (m) and the Force vector F = -i - 3j + 8k (kN)

A: Given, the Position vector. R⇀=-i+6j+3k m Force vector, F⇀=-i-3j+8k kN   The dot or scalar product…

Q: Write force F2 in vector form

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Q: Where does the resultant of the two force act?

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Q: The moment of the force F=960-lb about the point O in Cartesian vector form is.

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Q: find the total force ov

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Q: Find the rectangular representation of the force F, given that its magnitude is 320N.

A: The coordinates of the points O and A

Q: Given the Position vector R = 2i -j+ 3k (m) and the Force vector F = i +j+k (kN) Determine the angle…

A: Given Position vector = (2i – j + 3k)m Force vector = (i + j + k) kN To find Angle between the…

Q: a. Define the position vector AD. b. Define the Cartesian Force vector for the force F of 90.0 lbs.…

A: **According to the guidelines we can answer only three subparts at a time, please resubmit the…

Q: e resultant of forces

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Q: The resultant of the three forces and the Couple T in Fig. and an Unknown force through point A is…

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Q: 11 Find the resultant of forces if F

A: Need to find resultant of forces.

Q: Find the magnitude and direction of the resultant for system of forces shown in the figure. Take F1=…

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Q: Find the an equivalent resultant force and specify the location (x,y) of the equivalent resultant…

A: Given data: F1=13 kNF2=72 kNF3=25 kNF4=150 kN

Q: Find the resultant and direction of the three forces acting on the eye bolt using scalar and vector…

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Q: Four parallel forces act on the plate as shown. For the force system shown, find the equivalent…

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Q: 3. First, compute the angle 0- between the force vector F and the z-axis. Then, determine the vector…

A: θx=50oθy=60oθz=unknown

Q: In the figure, the resultant of all forces in y-direction equal to -- у X m

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Q: The resultant of the three forces shown has a magnitude of 800 N and is directed along the y-axis…

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Q: For the concurrent coplanar force system, shown 200 N 60 45 90 N 100 N a. Calculate the magnitude of…

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Q: Given the vectors P 3i - j + k, Q = 4i + Qyj - 2k, and S 2i - 2j + 2k, determine the value of Qy for…

A: Given Data: The vector P = 3i-j+k. The vector Q = 4i+Qyj-2k. The vector S= 2i-2j+2k. For the 3…

Q: The moment of the force F-960lb about the point O in Cartesian vector form is.

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Q: 3. Find the resultant and coordinates of the intersection of its line of action with the xz plane.…

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Q: Q: Represent the resultant of the three forces and one couple by an 10 points equivalent force R at…

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Q: ) Determine the magnitude and coordinate direction angles of the resultant force, and sketch this…

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Q: d the x and y component forces of vector A.

A: GIVEN :- FA=200 lbsFA=350 lbsθA=49°θB=37°

Q: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure…

A: Given

Q: 1. find the force at point G if the resultant forces passed through a point F 2. find the equvelint…

A: Given data, Let the resultant force is R The resultant force is passing through point F. To…

Q: From the given figure, what is the y-component of vector BC?

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Q: If the component of vector A along the direction of vector B is zero, what can you conclude about…

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Q: Find the moments of the forces as shown in figure 3 about point O.

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Q: Determine the magnitudes of vectors v 1 and v2 so that their resultant is ahorizontal vector of…

A: given; Determine the magnitudes of vectors v 1 and v2 so that their resultant is ahorizontal vector…

Q: Four forces act on a bracket as shown in Figure 1. (a) Using graphics, determine the resultant…

A: Given

Q: 45 lb 60° 3 ft y 1.8 ft 60° 45 lb

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Q: Given the Position vector R = 5i + 4j + 3k (m) and the Force vector F = 4i – 5j + 3k (kN) -…

A: Given, Position vector, R→=5 i+4 j+3 k  (m) Force vector, F→=4 i-5 j+3 k  (kN)

Q: Given the Position vector R = i +j+3k (m) and the Force vector F = i – 7j + 2k (kN Determine the…

A: Given data: Position vector, R→=i+j+3k   m Force vector, F→=i-7j+2k   kN Determine the angle between…

Q: (c) 5 1 -1 3

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Q: Cables extend from A to B and from A to C. The cable AC exerts a 1000 lb force F at A. What is the…

A: a Write the coordinate of the points A, B, C           A= 0,7,0 ft           B=0,0,10 ft           C…

Q: a) Find the resultant force vector R. (you can use "paint" to indicate and draw the resultant force…

A: Given:F1=500 Nθ=35oF2=600 NF3=200 N

Q: Homework Q1: If F=1200 N, Cosex= 0.25 and the ratio Fx to Fz is 0.6. Find and express F as a vector.

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Q: .The force Fis acting along DC. Using the triple scalar product to determine the moment of F about…

A: The force F is acting along DC. Using the triple scalar product to determine the moment of F about…

Q: Find the resultant force vector from adding F1, F2 and F3, using the triangle/trig method

A: Given data: F1=20 NF2=40 NF3=50 N Need to determine the resultant force vector.

Q: Determine the resultant of  forces and  location as shown in figure about point O

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Q1: The cable AB supports three vertical loads as shown in next figure. Compute the resultant of…

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.