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3 Dec 2020

A rope is wound around a hollow cylinder of mass 3kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30N?

Booster class
Mechanics 1
Skill
Understanding the concept of rotational motion
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Uttam Saikia
Uttam SaikiaLv10
3 Dec 2020
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Related textbook solutions

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

Related questions

A 2.9-kg 12-cm-radius cylinder, initially at rest, is free torotate about the axis of the cylinder. A rope of negligible mass iswrapped around it and pulled with a force of 18 N.
(a) Find the magnitude of the torque exerted by the rope.
1 N ร‚ยท m

(b) Find the angular acceleration of the cylinder.
2 rad/s2

(c) Find the angular velocity of the cylinder at t = 1.00 s.
3 rad/s

A 2.8-kg 12-cm-radius cylinder, initially at rest, is free torotate about the axis of the cylinder. A rope of negligible mass iswrapped around it and pulled with a force of 15 N.
(a) Find the magnitude of the torque exerted by the rope.


N ร‚ยท m

(b) Find the angular acceleration of the cylinder.


rad/s2

(c) Find the angular velocity of the cylinder at t = 0.70 s.


rad/s

A rope of negligible mass is wrapped around a 255 kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (A) If a 75 kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? (B) What is the angular acceleration of the cylinder? (C) If the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?

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