A solid cylinder used for smoothing concrete is rolling without slipping along a horizontal surface with a speed of 5.1 m/s. The cylinder has a mass m=10.3 kg, radius R=0.68 m, and moment of inertia I=(1/2)mR2. You bring the cylinder to rest by exerting a constant horizontal force . If the cylinder does not slip as you bring it to rest, what is the work done by your force, using only the cylinder as the system?

Q: A uniform rod of mass M = 1.2 kg and length L = 0.80 m, lying on a frictionless horizontal plane, is…

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Q: A solid cylinder of mass 3.4 kg and radius 4.8 cm rolls down an Inclined plane of height 9.1 cm…

A: Velocity of the center of mass. From conservation of energy

Q: A uniform square plate with side a= 225 mm is hinged at points A and B to a clevis that rotates with…

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Q: A 1.90 kg solid, uniform disk of radius 0.180 m is released from rest at point A in the figure…

A: a) The required transnational speed at point B is,

Q: A bowling ball has a mass 4 kg, a moment of inertia of 1.6 x 10-2 kg x m2 and a radius of 0.1 m. If…

A: Total energy is sum of rotational and translational energy ETot=ERot+ETran=12Iω2+12mv2=12Ivr2+12mv2…

Q: A solid cylinder with radius 0.160 mm is mounted on a frictionless, stationary axle that lies along…

A: Given:- R= 0.16 m F= 5 N Slope of θ vs t = m= 16 rad/s2

Q: A hollow cylinder of outer radius R = 11 cm and mass M = 68 g with moment of inertia about the…

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Q: m rod of length 3.0 m is pivoted about one end. What would be the angular acceleration due to…

A: We know that the angular torque is given as  τ=Iα where I is the moment of inertia  α is the angula…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.14 kg and radius R = 0.19 m) and a…

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Q: Assume that the solid has constant density k. Find the moment of inertia about the z-axis of the…

A: The constant density of the solid is denoted by k. The equation of the solid cylinder is x2 + y2…

Q: A uniform solid sphere, of mass M = 6.00 kg and radius R = 25 cm, is rolling without slipping from…

A: Given, Mass of sphere,m=6 kg Radius,R=25 cm=0.25 m Angle of inclination,θ=30° Height,h=1.2 m

Q: A solid cylinder of mass 4.9 kg and radius 4.8 cm rolls down an inclined plane of height 7.4 cm…

A: Speed of the center of mass. From conservation of energy

Q: A uniform solid disk of mass m = 2.98 kg and radius r = 0.200 m rotates about a fixed axis…

A: (a) The moment of inertia of the solid uniform disk can be given as, I=12mr2=122.98 kg0.2m2=0.0596…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a…

A: Given :Mass of hoop, mh=0.30 kgRadius of hoop, R=0.17 mMass of rod, mr=0.30 kgLength of the rod,…

Q: A hollow ball having a mass ofm=5.00 kg and a moment of inertia of (2/3)mr? rolls a distance d=…

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Q: a rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod…

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Q: In the figure, two thin uniform rods, with mass m=2.00 kg, L=1.50 m; and twouniform spheres, with…

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Q: thin spherical shell of mass M= 3.00 [kg] and radius R= 1.50 [m] compresses a spring (k= 500. [N/m])…

A: Given: mass( M) = 3.00 kg  radius  (R) = 1.50 m  Spring constant (k ) =  500  N / m ∆x = 0.400 m…

Q: A solid metal sphere has a radius of 0.05 m and a mass of 0.28 kg. The speed of its center of mass…

A: Given,  Mass of solid sphere , m = 0.28 kg  R = 0.05 m  Vcm = 17 m/s  w = 220 rad/s

Q: M, a solid cylinder (M=1.51 kg, R=0.123 m) pivots on a thin, fixed, frictionless bearing. A string…

A: Given Data:- Mass of the cylinder is M=1.51 kg Radius of the cylinder is R=0.123 m Magnitude of the…

Q: Four point masses, each of mass 1.7 kg are placed at the corners of a square of side 1.0 m. Find the…

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Q: A solid disk of mass 2 kg and radius 0.100m starts rolling from rest at the top of the inclined…

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Q: A cable is wrapped around a winch drum, a solid cylinder of mass 50 kg with a diameter of 0.120 m.…

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Q: A uniform solid sphere rolls along a horizontal frictionless surface at 20 m/s and makes a smooth…

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Q: You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be…

A: Given data *The uniform disk with radius is R = 23.0 cm = 0.23 m *The given constant angular…

Q: A uniform disk with mass 36.1 kg and radius 0.210 m is pivoted at its center about a horizontal,…

A: Given data: Mass of disc, M=36.1 kg. Radius, R=0.210 m Applied constant force, F=32 N Revolution,…

Q: A uniform, solid cylinder of mass mc = 6.61 kg and radius R = 0.33 m with Iem = MR? is attached at…

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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 solid disk of mass m = 3.08 kg and radius r= 0.200 m rotates about a fixed axis…

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Q: Two uniform solid spheres, A and B have the same mass. The radius of sphere B is twice that of…

A: 1) Formula used  Moment of Inertia of a solid sphere about an axis passing through its center MI =…

Q: A hollow sphere of radius 0.210 m, with rotational inertia /= 0.0293 kg-m2 about a line through its…

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Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a…

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Q: A hollow sphere of radius 0.120 m, with rotational inertia I = 0.0125 kg-m² about a line through its…

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Q: A 2.00 kg solid, uniform sphere rolls without slipping across a level surface, translating at 4.00…

A: Transnational KE is 16 J

Q: A uniform steel rod of length 0.8 m and mass 1.5 kg has two point masses of 1.9 kg each at the two…

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Q: A 1.10 kg solid, uniform disk of radius 0.180 m is released from rest at point A in the figure…

A: Solution:- Given m=1.10 kg r=0.180 m. (Solid uniform disk ) h1=1.80 m h2=0.350 m

Q: A disk having moment of inertia 94 kg · m2 is free to rotate without friction, starting from rest,…

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Q: A bowling ball of radius 0.11 m is rolling without slipping at a speed of 2.7 m/s when it starts…

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Q: In the figure, a constant horizontal force  F→app of magnitude 31.0 N is applied to a uniform solid…

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Q: A uniform disk is attached at the rim to a vertical shaft and is used as a cam. The disk has a…

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Q: hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of…

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Q: A uniform solid disk of mass 2.0 kg and radius 0.30 m is initially at rest. It is then rotated by a…

A: According to Work Energy Theorem Work done in a rotational dynamic system is equal to the net change…

Q: A thin spherical shell of mass M = 3.00 [kg] and radius R = 1.50 [m] compresses a spring (k = 500.…

A: Given-: Mass, m=3.00 kg Radius, R = 1.50 m Spring constant, k-500 N/m The spring is compressed by…

Q: A uniform solid sphere, of radius R = 1.0 m and mass M = 5.0 kg, rotates freely with a constant…

A: Given : Radius →R=1.0 m Mass →M=5.0 kg  Angular speed →ω=2.0 rad/s

Q: A hollow sphere of radius 0.210 m, with rotational inertia / = 0.0293 kg-m2 about a line through its…

A: hollow sphere of radius 0.210 m, with rotational inertia / = 0.0293 kg-m² about a line through its…

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.