Assertion A : If the ice on the polar caps of the earth melts, then length of the day will increase. Reason R : Moment of inertia of earth increases, as ice on polar caps melts. The correct answer is

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is not the correct explanation of A

In a system of two particles of masses m 1 and m 2 the second particle is moved by a distance d towards the centre of mass. To keep the centre of mass unchanged, the first particle will have to be moved by a distance

m 2 m 1 d , towards the centre of mass.

m 2 m 1 d , away from the the centre of mass.

m 1 m 2 d , away from the centre of mass.

m 1 m 2 d , towards the centre of mass.

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A uniform rectangular thin sheet $A B C D$ of mass $M$ has length $a$ and breadth $b$ , as shown in the figure. If the shaded portion $H B G O$ is cut-off, the coordinates of the centre of mass of the remaining portion will be:

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Important Questions on Motion of System of Particles and Rigid Body

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IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 52

When a block is placed on a wedge as shown in the figure, the block starts sliding down and the wedge also start sliding on ground. All surfaces are rough. The center of mass of (wedge $+$ block) system will move,

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 53

Assuming frictionless contacts, the magnitude of external horizontal force $P$ applied at the lower end for equilibrium of the rod $($ The rod is uniform and its mass is $m$ ), is equal to

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 54

As shown in figure, a

16 g

bullet is fired horizontally into a

4 kg

block of wood suspended by a long cord. The bullet sticks in the block. If the block goes

10 cm

above its initial level, then velocity of bullet is nearly

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 55

A ball moving with a speed of

10 m s^{- 1}

strikes an identical ball such that after the collision the direction of each ball makes an angle

45 °

with the original line of motion. Find the speeds of the two balls after the collision.

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 56

Two particles

A

and

B

(both initially at rest) start moving towards each other under a mutual force of attraction, when the speed of

A

v

and the speed of

B

2 v,

the speed of the centre of mass is,

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 57

A body

P

of mass

m_{p}

makes a perfectly elastic collision with another body

Q

of mass

m_{Q}

at rest. If they fly apart in opposite directions with equal speed then the ratio of their masses is-

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 58

An explosion breaks a rock into the three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass

1 kg

moves with a speed of

12 m s^{- 1}

and the second part of mass

2 kg

moves with speed

8 m s^{- 1}

. If the third part flies off with speed

4 m s^{- 1}

, then its mass is

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 59

A bomb of

12 kg

divides in two parts whose ratio of masses is

1 : 3

. If kinetic energy of smaller part is

216 J

then momentum of bigger part in

kg m s^{- 1}

will be

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be:

Important Questions on Motion of System of Particles and Rigid Body

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A uniform rectangular thin sheet $A B C D$ of mass $M$ has length $a$ and breadth $b$ , as shown in the figure. If the shaded portion $H B G O$ is cut-off, the coordinates of the centre of mass of the remaining portion will be: