Determine the moment of the force F about point O, about point A, and about the line OB. Find the general results in terms of F, a, b, and c. Then answer with these numbers: F = 320 N, a = 230 mm, b = 655 mm, c = 420 mm. F

Q: 2. You are to compare the gyradius of four (4) solid, homogeneous iron cylinders about their…

A:

Q: Determine the moment of the force along point P

A: Given ,  Force , F = 75 N Distance between P and R , r = 3m Angle between force and PR ,θ = 900-600…

Q: 5. The moment of a force about a point in 3D coordinates is solved by computing the cross product of…

A: Given: r < -0.09 , 0.16 , 0 > and  F <377 , -287 , 215> or r→ = -0.09 i^  + 0.16 j^  + 0…

Q: Replace the force system by an equivalent resultant force and couple moment at point P.

A: Calculate the net horizontal force. ∑Fx=-85×35+25×cos45°-0=-33.32 lb Calculate net vertical force.…

Q: Compute the moment of the 1.5 kN force about point A. (Calculate using 2.0kN instead of 1.5kN)

A:

Q: 6

A:

Q: Shown below is a small particle of mass 35 g that is moving at a speed of 10 m/s when it collides…

A: mass of particle (m) = 35 g = 0.035 kg Initial speed of particle (u) = 10msmass of cylinder (M) =…

Q: Determine the moment of the Forces about point O. 20N 100 mm 50 N 60 200 mm 100 mm

A: SOlution: F1 = 50 N F2 = 20 N

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

A: Force F→=(6+m) i^-(3+n) j^-k^  b→=i^-(4+m) j^+k^ a→=-i^-3 j^+(5+n) k^

Q: Determine the moment about the point T. * p(-3,3), lu,3) T R (6,-3)

A:

Q: ) Find the moment about line AB. B) Find the perpendicular distance between line AB and the line of…

A:

Q: Calculate the magnitude of the moment by the "bcd"N force about point O and indicate whether CW or…

A: Force= bcd Newton angle= 40 degree

Q: Moment of Inertia (y) Now find the total moment of inertia by adding up (integrating) all of the…

A:

Q: Determine the magnitude of the moment in lb · in., With respect to the line "ab", that generates the…

A: GIVEN :-  FORCE F = 23lb from c to e x = 1.4in y = 2.5in z = 3.8in moment about ab =?

Q: Four small 0.600-kg spheres, each of which you can regard as a point mass, are arranged in a square…

A: The moment of Inertia I of a system of discrete particlesis given by:I=∑imiri2where mi is the mass…

Q: (b) Calculate the angular momentum of Earth that arises from its orbital motion about the Sun,…

A: The moment of inertia I of a point particle is given by, I = mr2 where, m is the mass of the…

Q: Determine the moment of the force about point O.

A:

Q: Determine by direct integration the moment of iner- tia of the triangular area about the y-axis.

A:

Q: From the given figure, compute the moment of the 100-N force about point B. 100 mm 200 mm 100 N

A: About B Moment of 100 N = 100×0.2 = 20 N-m

Q: PROBLEM 3.7 A 400-N force Pis applied at Point A of the bell crank shown. (u) Compute the moment of…

A:

Q: Find the moment (Nm) caused by the force F = 803 N about point A if a = 27 mm and b = 31 mm.

A:

Q: Shown below is a small particle of mass 23 g that is moving at a speed of 10 m/s when it collides…

A:

Q: 5 12 B A D

A:

Q: P335 N 2m 2m A

A: The moment is

Q: Determine the moment of the force 360 N about points A and B. 360N 40° 100 mm 225 mm 25 • B

A: The free-body is shown below:

Q: Find the moment (Nm) caused by the force F = 618 N about point O if a = 26 mm and b = 38 mm.

A:

Q: Determine the resultant moment of the forces shown about point O. 28 22 20 30 45 30 45 26

A:

Q: Q. 4 If the resultant moment about point A is 4800 N.m clockwise, determine the magnitude of F, if…

A: (4) Given: Resultant moment, F= 4800 Nm Force, F1 = 300 N Force, F2 = 400 N

Q: Find the equivalent moment of force through point A of the force system shown in the figure. 100 lb…

A:

Q: Determine the moment of the Q3 force about point O. 500 N 300 N 4S 25 m -2 m 600 N

A:

Q: 4. Let F = 3 i-2 j+ 5 k and Let r= 4 i -4 j - 6 k. Find the torque in both Cartesian and polar…

A:

Q: Determine the moment of the force about point O for the following.

A: The angle with vertical of the applied force: tan∅=43∅=53 The force component along x-direction: Fx…

Q: Three identical point masses are arranged to an equilateral triangle as shown. Let point P be the…

A:

Q: ABCD is rectangle, in which AB = CD = 100 mm and BC = DA = 80 mm. Forces of 100 N each act along AB…

A: Draw the figure for the given condition.

Q: Q1. Determine the resultant moment +be fig show n below: 200N 本1m 3 m 70 SOON

A:

Q: As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The…

A: in this question we determine  fisrt unit vector or AB becuse we will found moment about segment AB.…

Q: A slab is subjected to two forces F and F, of same magnitude F as shown in the figure. Force F2 is…

A: We have 2 forces F1 and F2 both having magnitude F. F2 acts on the xy plane as shown while F1 acts…

Q: 10 m/s Before After

A: Since there is no external force so we can conserve the angular momentum.

Q: tion Rod AB is held in place by the cord AC. Knowing that the tension in the cord is 1350 N and that…

A:

Q: Calculate the magnitude of the moment about the base point O of force F. *

A: Given data- Force F=800 lb           1lb=4.4452 newton so force F=(800)(4.4452 N) =3556.16 N

Q: Solve for the sum of moments at point O. (clockwise direction positive)

A: We have given a figure in which four forces are applied as shown in the figure below  We know that…

Q: 600 N NOCS-

A:

Q: A force P intersects the X axis at 4 ft to the right of O. If its moment about A is 170 ft-lb…

A:

Q: Determine the moment of the P 63.29-kN force about points A.

A: The moment of force about a point is rFsinθ .  Here , θ = 900 +300 = 1200 F = 63.29 kN r = 5m

Q: 500 N 2 m

A: By applying force equilibrium condition -∑M0 = 35×500N×1m - 45×500N×3mM0  = 900 Nm

Q: Determine the moment of the force about point O. F-300 N 30 0.3 m 041 0.4

A:

Q: What is the moment of inertial of a 3kg uniform rod with length 2 meters and radius 20cm, if the…

A: Givenmass of the rod   m=3kgLenghth L=2mradius r=20cm

Q: O Determine the moment of the 800-N force about point A and about point O. 875 mm- 625 mm 30° F= 800…

A:

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).