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23 Nov 2019

A uniform solid cylinder of radius 0.5 m and mass 7 Kg is mounted on a frictionless axle. The moment of inertia of the solid cylinder is I=(1/2)(MR^2). A bucket full of bricks weighing 150 kg is attached to the cylinder by a thin, light weight cable wound about the cylinder at its outer radius. If released from rest, how fast is the bucket traveling after 10 seconds.

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Jarrod Robel
Jarrod RobelLv2
2 Aug 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A bucket of water with total mass 23 kg is attached to a rope,whichin turn is wound around a 0.050-m radius cylinder at the topof awell. A crank with a turning radius of 0.25 m is attached tothe endof the cylinder and the moment of inertia of cylinder andcrank is0.12 kg*m2. If the bucket is raised to the top of the wellandreleased, what is the acceleration of the bucket as it fallstowardthe bottom of the well? (Assume rope's mass is negligible,thatcylinder turns on frictionless bearings and that g=9.8 m/s2.)


Answer: 3.2 m/s2

I'm not sure how to do this please help and showsteps.

A bucket of water with total mass 23kg is attached to a rope,which is turn is wound around a .05m radius cylinder at the top ofthe well. A crank with a turning radius of 0.25m is attached to theend of the cylinder and the moment of inertia of cylinder and crankis 0.12 kgm^2, If the bucket is raised to the top of the well andreleased what is the acceleration of the bucket as it falls towardthe bottom of the well. Assume the ropes mass is negligible and thecylinder turns on a frictionless bearing. G= 9.8 m/s^2

A uniform solid cylinder of mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. The string doesn't slip over the pulley surface, and the cylinder rolls without slipping on the tabletop. Find the magnitude of the acceleration of the block after the system is released from the rest.

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