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Physics Part-I

System of Particles and Rotational Motion

A rope of negligible mass is wound round a hollow cylinder of

Physics Part-I

Class 11

NCERT

Chapter 1: Physical World

16 questions

Chapter 2: Units and Measurements

51 questions

Chapter 3: Motion in Straight Line

50 questions

Chapter 4: Motion in a Plane

43 questions

Chapter 5: Laws of motion

52 questions

Chapter 6: Work, Energy and Power

41 questions

Chapter 7: System of Particles and Rotational Motion

45 questions

(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rev/. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2/5 times the initial value ? Assume that the turntable rotates without friction.
(b) Show that the childs new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

A rope of negligible mass is wound round a hollow cylinder of mass

3 k g

and radius

40 c m

. What is the angular acceleration of the cylinder if the rope is pulled with a force of

30 N

? What is the linear acceleration of the rope Assume that there is no slipping.

To maintain a rotor at a uniform angular speed of

200 r a d s^{- 1}

, an engine needs to transmit a torque of 180 N m. What is the power required by the engine ? (Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100% efficient.

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Chapter 8: Gravitation

33 questions

Question

Easy

Solving time: 1 mins

A rope of negligible mass is wound round a hollow cylinder of mass $3 k g$ and radius $40 c m$ . What is the angular acceleration of the cylinder if the rope is pulled with a force of $30 N$ ? What is the linear acceleration of the rope Assume that there is no slipping.

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Updated on: Apr 19, 2023

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Physics Part-I (NCERT)

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A rope of negligible mass is wound round a hollow cylinder of mass

3 k g

and radius

40 c m

. What is the angular acceleration of the cylinder if the rope is pulled with a force of

30 N

? What is the linear acceleration of the rope Assume that there is no slipping.

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

The moment of inertia of the hollow cylinder about its geometric axis:

I = m r^{2} = 3 \times 0. 4^{2} k g m^{2}

The Torque developed is given by:

τ = r F = 0.4 \times 30 N m = 12 N m

We know that the relation between the torque and angular acceleration is:

τ = I α

⟹ α = 25 r a d s^{- 2}

Thus linear acceleration

(a) = r α = 0.4 \times 25 m / s^{2} = 10 m / s^{2}

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Practice more questions from Physics Part-I (NCERT)

A rope of negligible mass is wound round a hollow cylinder of mass

3 k g

and radius

40 c m

. What is the angular acceleration of the cylinder if the rope is pulled with a force of

30 N

? What is the linear acceleration of the rope Assume that there is no slipping.

To maintain a rotor at a uniform angular speed of

200 r a d s^{- 1}

View all

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Question Text	A rope of negligible mass is wound round a hollow cylinder of mass $3 k g$ and radius $40 c m$ . What is the angular acceleration of the cylinder if the rope is pulled with a force of $30 N$ ? What is the linear acceleration of the rope Assume that there is no slipping.
Updated On	Apr 19, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	411
Avg. Video Duration	8 min

A rope of negligible mass is wound round a hollow cylinder of mass $3 k g$ and radius $40 c m$ . What is the angular acceleration of the cylinder if the rope is pulled with a force of $30 N$ ? What is the linear acceleration of the rope Assume that there is no slipping.

Text solutionVerified

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A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope Assume that there is no slipping.

Text solutionVerified

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A rope of negligible mass is wound round a hollow cylinder of mass $3 k g$ and radius $40 c m$ . What is the angular acceleration of the cylinder if the rope is pulled with a force of $30 N$ ? What is the linear acceleration of the rope Assume that there is no slipping.