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A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density. The peripheries of the two discs touch each other. The position of their centre of mass is

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Important Questions on Systems of Particles and Rotational Motion

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Agniveer Vayu

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 5

The centre of mass of a system of two particles divides the distance

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 6

Consider a two particle system with particles having masses

m_{1}

and

m_{2}

. If the first particle is pushed towards the centre of mass through a distance

d

, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 7

An isolated particle of mass

m

is moving in a horizontal plane (

x y

), along the

x

-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses

\frac{m}{4}

and

\frac{3 m}{4}

. An instant later, the smaller fragment is at

y = + 15 cm

. The larger fragment at the instant is at:

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 1

Two masses

m

and

M (> m)

are joined by a light string passing over a smooth light pulley. The centre of mass of the system moves with an acceleration -
Question Image

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 2

If the system consists of two identical particles. One particle is at rest and the other particle has an acceleration

a

. The centre of mass of the system has an acceleration of

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 3

Assertion: The centre of mass of an electron and proton, when they were released from rest, moves faster towards proton.

Reason: Proton is heavier than electron.

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 4

Two identical particles move towards each other with velocity

2 ν

and

ν

respectively. The velocity of centre of mass is

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 5

A cannon shell fired breaks into two equal parts at its highest point. One part retraces the path to the cannon with kinetic energy

E_{1}

and kinetic energy of the second part is

E_{2}

, relation between

E_{1}

and

E_{2}

A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density. The peripheries of the two discs touch each other. The position of their centre of mass is

Important Questions on Systems of Particles and Rotational Motion

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