Given the Position vector R = 4i + 3j + Ok (m) and the Force vector F = -3i + 4j + 0k (kN)

Q: Determine the magnitude and directional sense of the resultant moment of the forces about point O.…

A: The free-body diagram of the provided force system is shown below. The angle can be calculated as,…

Q: Sample Problem # 05 Determine the resulting moment about point A for the system of forces acting on…

A: The resultant moment about point A can be calculated by using the concept of moment equilibrium.…

Q: The moment of the force F=720-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2ft 4…

A: Solution: Moment of Force F about O and its cartesian form is obtained below.

Q: The moment about point O in the figure shown is equal to zero. Find the angle (0) 1.5d F

A: Break Force F in components calculate distance AC,cosθ=ACdAC=d×cosθcalculate distance…

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: B Part B - Moment due to a force specified as a Cartesian vector As shown, member is fixed at the…

A: Part (B): Write the force vector and line vector OB.…

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

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Q: A position vector from point B to the line of action of a force vector F is given as: "BF = {-10j +…

A: rBF=-10j+20k m

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

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Q: 3. A force F = (6 + m)î – (3+ n)ĵ – k passes through the point B whose position vector is b = î – (4…

A: Force acting at point B  F=(6+m)i ^ -(3+n)j ^-k^ We know that m=8 ,n=3 So force     F=14i ^-6j ^-k^…

Q: Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each…

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Q: The moment of the force F-120-lb about the point O in Cartesian vector form is.

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Q: The moment of the force Fa960-lb about the point O in Cartesian vector form is 1 ft 4 ft 2 ft 4 ft…

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Q: Y. -5 m 100 N 100 N m -6 m 1. DETERMINE THE MOMENTS OF THE TWO FORCES ABOUT X, Y, AND Z AXES SHOWN…

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Q: Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each…

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Q: Find the cross product between the vectors C A" for A" =(2i-5 j'+k") and C= (3i-2j-4k^)

A: Data given-  C = 3i - 2j - 4k  A = 2i - 5j + k

Q: د الخيارات Consider three vectors A = -i - 2j, B= -2

A: given:A=-i-2jB=-2i-4jC=3k

Q: Find the resultant force and moment about point O for the system shown in Fig. Q3. 500N 4 600N 3…

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Q: Moment about a point

A: Given Data: The given force is F→=3i+4j+12k kN The coordinate of point C is (4,3,2). The vector OC…

Q: For vectors A = - 10i + 5j + 12k and B direction of B Submit Question – 3i – 7j + 7k, find the…

A: Given data: A→=-10i+5j+12kB→=-3i-7j+7k Need to determine the projection of A→ along the direction of…

Q: Determine the moment of the system shown in Fig (1) about point o?

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Q: The moment of the force F=240-lb about the point O in Cartesian vector form is:

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Q: The moment of the given forces about point "A" is 4.5 KN/m 5.0 m 3.0 m A

A: It is required to determine moment about point A

Q: The moment of the force F=360-lb about the point O in Cartesian vector form is.

A: Solution:

Q: The moment of the force F=120-lb about the point O in Cartesian vector form is. F-120 lb 1ft 4 ft 2…

A: The position vectors is calculated as, O→=0i^+0j^+0k^B→=1i^+4j^+2k^C→=5i^+0j^+0k^ The vector OB is…

Q: The Cartesian vector form of the moment produced by force Fy about point O is equal to. -2 ft- 3ft F…

A: As given  Force vector (F→1) = {-20i + 10j + 30k}lb From the given diagram, we can get the position…

Q: The forces in the figure are P=80 N, Q=110 N. Find the direction and intensity of the sum of moments…

A: Solution: The coordinate of point A is calculated as: A=(-3-8cos40°,0,-8sin40°)=(-9.13,0,-5.14) The…

Q: The force P of magnitude 50 kN is acting at 215° from the x-axis. Find the .components of P in v…

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Q: Find out the Resultant Moment of two forces shown in Fig. (2) about point O.

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Q: 150 N 200 N 1.5 m 200 N A 5 3 150 N 4 m

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Q: The moment of the force F=180-lb about the point O in Cartesian vector form is.

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Q: Cartesian coordinat system; A(0,0,0) B(3,4,0) C(3,4,4) F = -20i +10 j+15k N is applied to point C…

A: GIVEN :- Cartesian co-ordinates of point A,B and C : A(0,0,0) , B(3,4,0) & C(3,4,4)…

Q: The moment of the force F-1440-lb about the point O in Cartesian vector form is. 1 ft> 4 ft 2 ft 4…

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Q: The moment of the force F=120-lb about the point O in Cartesian vector form is.

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Q: A C P.

A: Free body diagram:

Q: The moment of the force F-480-lb about the point O in Cartesian vector form is. 1 ft> B 4 ft 2 ft 4…

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Q: Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each…

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Q: The Cartesian vector form of the moment produced by force F, about point O is equal to. 1 ft -2 ft-…

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Q: O Find the following: Component du in the durection of v © the vector tor @v.u, Wl,lul the sScalar ,…

A: 1. (i) v=10i+11j-2k, u=3j+4k (a) The v-u can be determined as, v-u=3j+4k-10i+11j-2k=-10i-8j+6k Thus,…

Q: The vectors A = 5i + 7j – 8k and B = 3i + Yj + zk are known to be parallel. Find y and z y = 4.2…

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Q: Q3) given two vectors u 21 + 3j+4k, v= 4i+3j-2k %3D

A: To find u.v u x v Angle

Q: In the figure below about the point P and Ϝ find the sum of the moments of the two forces

A: Given data: F=300 NP=400 N Need to determine the sum of the moments of the two forces about point O.

Q: Find the distance ( Y) if the moment of the forces system shown in fig. is equal to ( 12750 about…

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Q: 37° 3 501bs 2061bs Minimal: Find the 'x' and 'y' component forces of Vector A. " 3.

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Q: Find the coordinate direction angles ( α 1 , β 1 , γ 1 ) of the force F1 so that the resultant force…

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Q: The moment of the force F=1440-lb about the point O in Cartesian vector form is. 1 ft 4 ft' 2 ft 4…

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Q: Find the couple-force system at A. Semiparabolic region 8 kN/m A B 3 m 2 m

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Q: B15m 1.5 m P=0.8 kN T-1.2 kN 3m O15 m 3 m 2 m 1 m - Determine the x-, y-, and z- components of T.…

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Q: A 50 kN, 4 m B 2 m 60° 100 kN 30° 140 kN m

A: Given: Force F1=50kNForce F2=PForce F3=100kNM=140kNm

Q: 4) Two forces with magnitudes F1 and F2 act on an object at the origin point as shown in the figure…

A: Magnitudes of force is F1 and F2