1. Consider a solid cylinder of mass m and radius r and a solid sphere of mass M and radius R are placed at rest on the top of an inclined plane that makes an angle θ with the ground. The length of the inclined plane is L. Now solve the following problems. (a) Find the moment of inertia of the cylinder and sphere.  (b) Find the potential energy of the cylinder and the sphere when they are at the top of the inclined plane. (c) Now we let go of the cylinder and the sphere at the same time so that the roll without slipping along the incline plane. Find out which one of the solid bodies have greater linear velocity than the other when they come down from the inclined plane.

Q: Point P is located on the outer surface of the top, a distance h = 25.0 mm above the ground. The…

A: a. the required angular momentum is τ=Lt2Tr=Lt22.9 N2.46×10-3 m=L0.77 sL=10.98×10-3 kgm2/s

Q: A solid cylinder used for smoothing concrete is rolling without slipping along a horizontal surface…

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A: Apply principle of conservation of energy…

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: Two wheels of moment of inertia 4.4 kg.m² and 4.4 kg.m² are set in rotation with angular speed 4.5…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: A uniform, solid sphere with a radius of 0.20 m and a mass of 0.50 kg rolls without slipping on a…

A: The formula for the moment of inertia of a solid sphere is: The formula for the total kinetic…

Q: Show that the moment of inertia of a right circular cone of mass M , height h and radius ‘a ’ about…

A:

Q: Two wheels of moment of inertia 6 o kg mand 2.2 kg m² are set in rotation with angular speed 3.4…

A: Given:  I = 6 kg m2  I' = 2.2 kg m2 w = 3.4 rad/s w'  = 9.9 rad/s

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A:

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

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

A:

Q: A woman is standing at the rim of a nonuniform cylindrical horizontal platform initially at rest.…

A: The diameter of the rim, d=4 m   The radius of the rim, r=d2=4.0 m2=2.0 m

Q: 1. Consider a solid cylinder of mass m and radius r and a solid sphere of mass M and radius R are…

A: A) To calculate the Moment of Inertia of solid sphere about its diameter ,first we take the moment…

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A: We will be using parallel axis theorem

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Q: A 1.10 kg solid, uniform ball of radius 0.160 m is released from rest at point A in the figure…

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Q: A cord is wrapped around the rim of a solid cylinder of radius 0.25 m, and a constant force of 40 N…

A:

Q: A woman is standing at the rim of a nonuniform cylindrical horizontal platform initially at rest.…

A: The given values are, d=4 mr=d2=4 m2=2 mI=500 kg·m2v=1.50 m/sm=60 kg

Q: Consider a solid cylinder of mass m and radius r and a solid sphere of mass M and radius R are…

A:

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Q: Consider a motor that exerts a constant torque of 25.0 N⋅m to a horizontal platform whose moment of…

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A: Given that: M=10.0 kgr=0.10 mv=17.8 m/sI=25Mr2To determine: the value of h.

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A: Solution:-

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