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Physics Part-I
Class 11
NCERT
1
Chapter 1: Physical World
16 questions
2
Chapter 2: Units and Measurements
51 questions
3
Chapter 3: Motion in Straight Line
50 questions
4
Chapter 4: Motion in a Plane
43 questions
5
Chapter 5: Laws of motion
52 questions
6
Chapter 6: Work, Energy and Power
41 questions
7
Chapter 7: System of Particles and Rotational Motion
45 questions
Q1
(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be , where M is the mass of the sphere and R is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Q2
Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?
Q3
A solid cylinder of mass 20 kg rotates about its axis with angular speed . The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?
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Chapter 8: Gravitation
33 questions
Question
Medium
Solving time: 2 mins
Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?
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Text solution
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The moment of inertia for the hollow cylinder=
The moment of inertia for the solid sphere=
For hollow sphere we have
For solid sphere we have
Thus
The angular velocity() at a certain time will be greater for solid sphere.
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Practice more questions from Physics Part-I (NCERT)
Q1
(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be , where M is the mass of the sphere and R is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Q2
Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?
Q3
A solid cylinder of mass 20 kg rotates about its axis with angular speed . The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?
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| Question Text | Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time? |
| Updated On | Nov 30, 2022 |
| Topic | System of Particles and Rotational Motion |
| Subject | Physics |
| Class | Class 11 |
| Answer Type | Text solution:1 Video solution: 3 |
| Upvotes | 305 |
| Avg. Video Duration | 4 min |
