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A mass 'm' is supported by a massless string wound around a un

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A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

Name: Video solution 1: A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?
Uploaded: 2023-02-23T02:33:36.000Z
Duration: 5 min
Description: Video solution 1: A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

\frac{2 g}{3}

\frac{g}{2}

\frac{5 g}{6}

g

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Updated on: Feb 23, 2023

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A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

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Text solutionVerified

For the mass m,

mg - T = ma

As we know,

a = R a \dots

(i)
So,

m g - T = m R a

Torque about centre of pully

T \times R = mR^{2} a \dots\dots

(ii)
From Eqs. (i) and (ii), we get

a = g /2

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Question Text	A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?
Updated On	Feb 23, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	241
Avg. Video Duration	5 min

A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

Text solutionVerified

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A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

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