Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 6

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A hollow sphere of mass $m$ and radius $R$ rolls on a horizontal surface without slipping such that velocity of its centre of mass is $v$ . The total kinetic energy of the sphere is

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Important Questions on System of Particles and Rotational Motion

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 7

If the moment of inertia of a disc about an axis which is along its diameter is

I

then the moment of inertia about the axis passing through its centre and perpendicular to plane is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 8

A ring of mass $M$ and radius $R$ is rolling without slipping, the velocity of point $A$ as shown in the figure is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 9

Three particles each of mass $2 kg$ are placed at corners of an equilateral triangle of side $2 m$ as shown in figure. $y -$ co-ordinate of the centre of mass of the system of three particles is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 10

Starting from rest, a fan takes five seconds to attain the maximum angular speed of

\frac{20 π}{3} rad / s

with constant angular acceleration. The angular acceleration of the fan is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 11

An automobile engine develops

100 kW

power when rotating with an angular speed of

250 rad s^{- 1} .

The torque developed by it will be about,

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 12

The moment of inertia of hollow cylinder of mass

M

and radius

R

about its axis of rotation is

M R^{2}

.The radius of gyration of the cylinder about the axis is _____.

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 13

If no external torque acts on the system, then total angular momentum of the system

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 14

The velocity of the centre of mass of a solid sphere of radius

R

rotating with angular velocity

ω

about an axis passing through its centre of mass is