The force F = i − 2j − 2k acts at the point (0, 1, 2). Find the torque of F about the line r = (2i − j)t.

Q: À uniform solid sphere has a radius of 0.1 m and density 8 x 10' kg/m³. Find its moment of inertia…

A: To find-M.I. about tangent=?Given-R=0.1 md=8×103 kg/m3

Q: As the figure shows, a homogeneous rod of mass 1kg and length L = 2 m is nailed to the wall at its…

A: We will first write an expression for torque and use it to find the net torque due to three given…

Q: If r=2i ̂+3j ̂ and F=-3i ̂+2j ̂, what is the magnitude and direction of the torque τ?

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Q: Two men are raising a beam as shown. The magnitude of the tension in the right cord is 1000 N, the…

A: The force is orthogonal to the radius, thus the force will be in counter clockwise direction.Write…

Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…

A: Given data:  Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…

Q: What would the magnitude of the angular acceleration of the rod due to gravity be at the moment is…

A: Examine the rod’s FBD. The gravity’s torque on the rod can be represented as, Here, Fg, r, m, g,…

Q: A tangential force of 16.3 N acts on the outer edge of a solid cylinder having a mass of 2.01 kg and…

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Q: In the figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a…

A: mass of particles , m = 0.8 kg mass of rod , M = 1.1 kg Angular speed , ω = 0.34 rad/s d = 5.4 cm =…

Q: In the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d=…

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Q: A vertical rectangular object of uniform mass M=19.4kg has sides a=0.6m and b=2.6m. It is pivoted…

A: Given :            mass m = 19.4 kg            sides a = 0.6 m , b = 2.6 m            F = 104 N…

Q: = (8.55 N )i – (9.95 N Jk acts on a pebble with position vector = (6.87 m )j – m )k, relative to the…

A: Torque τ = r̅ × F̅

Q: In unit-vector notation, what is the torque about the origin on a particle located at coordinates…

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Q: A particle is located at the position vector r = (6.00î + 7.0oj) m and a force exerted on it is…

A: F→ = 4 i ⏜+ 3 j⏜r⏜ = 6 i⏜ + 7 j ⏜

Q: The distance from the angler's hand to the tip of the pole is  L = 2.15 m.  A fish is on the line,…

A: The relation between torque exerted by the fish and the force applied by the fish is given by,…

Q: From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of…

A: We know that when a cube with the greatest volume is carved from a solid sphere with mass M and…

Q: In the figure here, three particles of mass m = 0.022 kg are fastened to three rods of length d =…

A: Given data:mass of each particle (m) = 0.017 Kglength of each rod (d) = 0.13 mAngular speed ω= 0.950…

Q: A force F of 15 N and a moment M of 40 Nm act on the 4 kg of rod AB. The angular velocity of the rod…

A: Given information: The applied force, F=15 N The moment is, M=40 N·m The mass of the rod, m=4 kg The…

Q: A disk having moment of inertia 89 kg · m2 is free to rotate without friction, starting from rest,…

A: Moment of inertia, I = 89 kg · m² Tangential force range from F = 0 to F = 50.0 N Distance ranging…

Q: Two uniform, solid spheres (one has a mass M1= 0.3 kg and a radius R1= 1.6 m and the other has a…

A: Given : M1=0.3 kg M2=0.6 kg R1=1.6 m R2=3.2 m L=6.4 m ISphere=25MR2

Q: A disk of radius R=120 cm rotates about its central axis through O with a constant angular…

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Q: lley is pulled with a downward force that is notconstant and increases linearly with the angle of…

A: We know that the A string wrapped around the pulley is pulled with downward force F  and it…

Q: A uniform solid disk has mass M and radius R. A child of mass m = M/2 is standing at two-thirds of…

A: The objective of the question is to find the rotational inertia (moment of inertia) of the system…

Q: The disk with mass m = 2.5 kg and radius r= 20 cm rotates like a merry-go-round under the torque…

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Q: A force acting through the point (x, y, z) where x 3, y = -6 and z = 6 is given by the vector: F =…

A: The moment is defined as the product of the distance traveled by an object and the force that acts…

Q: Four identical particle of mass 0.5 kg each are placed at the vertices of a 2 m x 2m square and held…

A: thank you

Q: The rotor consists of 4 cylindrical segments which are fused together. The moment of inertia of a…

A: Given data: The radius of part 1 and 4 is R1=R4=1.50 cm=1.50x10-2 m. The radius of part 2 is…

Q: A uniform spherical shell of mass M = 12.0 kg and radius R = 0.710 m can rotate about a vertical…

A: We will use Law of conservation of energy : 12mv2+12Iω2+12Isω22=mgh v= ωr=ω2R I of pulley = 0.0980…

Q: A uniform spherical shell of mass M = 3.8 kg and radius R = 7.6 cm can rotate about a vertical axis…

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Q: A solid sphere with diameter 10.7 [m] and mass 5.47 [kg] experiences a net torque of magnitude 65.0…

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Q: The body in the figure is pivoted at O. Three forces act on it: FA = 10N at point A, 8.0m from O; FB…

A: Forces: FA = 10N at point A, 8.0m from O FB = 16N at point B, 4.0m from O FC = 19N at point C, 3.0m…

Q: A uniform rod of mass M=6 kg and length L=3 m with a particle of mass m=2 kg attached to its one end…

A: Mass of the rod M=6kgLength of the rod, L=3mMass of the particle, m=2kgAngle made by the rod with…

Q: A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=3.8m. It is pivoted…

A: The moment of inertia (I) corresponding to an axis through a point at a distance (d) away from the…

Q: A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b-2.7m. It is pivoted…

A: We have force F=83 N being applied to a corner of a rectangle with sides a=0.7 m and b=2.7 m at an…

Q: A particle of mass m = 10 kg is rotating around a point O at a radius r = 10 m. The angular position…

A: differentiation of angular position (θ) with respect to time is angular velocity (ω) dθ/dt = ω ω =…

Q: In testing an automobile tire for proper alignment, a technician marks a spot on the tire 0.230 m…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: As shown, a member is fixed at the origin, point O, and has an applied force F. the tension in the…

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Q: In a popular game show, contestants give the wheel a spin and try to win money and prizes! The wheel…

A: The relation between initial angular velocity, final angular velocity, angular acceleration and time…

Q: A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a…

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Q: In unit-vector notation, what is the torque about the origin on a particle located at coordinates…

A: GivenPosition of particle,  0,-4.3m, 3.14m

Q: vector v of magnitude 3.50 m/s and angle 02 = 29.0°. Force F , of magnitude 8.70 N and angle 03 =…

A: Angular momentum is the rotational equivalent of linear momentum. And it is given  by, L = r × mv…

Q: A circular cone with constant density 1, base radius 6, and height 8 is placed so the axis of…

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.