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System of Particles and Rotational Motion

Rolling motion

An object of mass m and radius R, which can roll, is placed on

Question

Hard

Solving time: 5 mins

An object of mass $m$ and radius $R$ , which can roll, is placed on a rough horizontal surface and a horizontal force $F = m g$ is applied at height $h$ as shown in figure. The object rolls without slipping

If the object is hollow cylinder and $h = \frac{3 R}{2}$ ,then select the INCORRECT statement.

Angular acceleration of cylinder is

\frac{2 g}{3 R}

Frictional force on the cylinder is leftward

Work done by frictional force on cylinder is zero

Magnitude of frictional force is

\frac{m g}{4}

Views: 5,532 students

Updated on: Oct 14, 2022

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Michael Discussed

An object of mass

m

and radius

R

, which can roll, is placed on a rough horizontal surface and a horizontal force

F = m g

is applied at height

h

as shown in figure. The object rolls without slipping

If the object is hollow cylinder and

h = \frac{3 R}{2}

,then select the INCORRECT statement.

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

(m g) \times (\frac{3 R}{2}) = (2 m R^{2}) \times (\frac{a _{c}}{R})

\Rightarrow a_{c} = \frac{3}{4} g

∴ f = \frac{m g}{4}

, leftward

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Question Text	An object of mass $m$ and radius $R$ , which can roll, is placed on a rough horizontal surface and a horizontal force $F = m g$ is applied at height $h$ as shown in figure. The object rolls without slipping If the object is hollow cylinder and $h = \frac{3 R}{2}$ ,then select the INCORRECT statement.
Updated On	Oct 14, 2022
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	458
Avg. Video Duration	12 min

Text solutionVerified

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Text solutionVerified

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