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System of Particles and Rotational Motion

A hoop of radius 2 m weighs 100 kg. It rolls along a horizonta

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 solid sphere rolls down on two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?

A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?

The Oxygen Molecule Has a Mass of 5.30 × 10–26 Kg and a Moment of Inertia Of 1.94×10–46 Kg M2 About an Axis Through Its Centre Perpendicular to the Lines Joining the Two Atoms. Find the Average Angular Velocity of the Molecule.

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Chapter 8: Gravitation

33 questions

Question

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Solving time: 2 mins

A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?

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Updated on: Aug 29, 2023

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Physics Part-I (NCERT)

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A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?

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Text solutionVerified

Total energy of the hoop=Translational Kinetic energy+ Rotational Kinetic energy=

\frac{1}{2} m v^{2} + \frac{1}{2} I ω^{2}

For hoop,

I = m r^{2}

Also

v = r ω

Thus total energy=

\frac{1}{2} m v^{2} + \frac{1}{2} m r^{2} (\frac{v}{r})^{2} = m v^{2}

Hence the work required to stop the hoop=Its total energy=

m v^{2} = 100 \times 0. 2^{2} J = 4 J

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Practice more questions from Physics Part-I (NCERT)

A solid sphere rolls down on two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?

A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?

The Oxygen Molecule Has a Mass of 5.30 × 10–26 Kg and a Moment of Inertia Of 1.94×10–46 Kg M2 About an Axis Through Its Centre Perpendicular to the Lines Joining the Two Atoms. Find the Average Angular Velocity of the Molecule.

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Question Text	A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm/s. How much work has to be done to stop it?
Updated On	Aug 29, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	341
Avg. Video Duration	10 min