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A coin of radius $r$ rolls without slipping on a smooth horizontal plane. If the velocity of the centre of mass is $v$ , then what is the velocity of point $A$ on the coin as shown in figure ?

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Important Questions on Motion of System of Particles and Rigid Body

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 57

The density of a rod increases linearly with distance from the end

A

to the other end

B

. Its mid-point is at

C

and centre of mass is at

G

. Moment of inertia of the rod about the axes passing through

A, B, C

and

G

and perpendicular to the length of the rod are

I_{A}, I_{B}, I_{C}

and

I_{G}

respectively. Then

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 58

Two particles

P

and

Q

of mass

2 kg

and

4 kg

respectively start moving towards each other under mutual attraction with velocities

20 {ms}^{- 1}

and

7 {ms}^{- 1}

. The velocity of their centre of mass is

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 59

A block with length, breadth and height respectively as

a

a

and

h

is placed on a rough inclined plane. The inclination of plane is gradually increased. If

μ

is the coefficient of friction, the block will

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 60

A wheel of radius

r

rolls without slipping with a speed

v

on horizontal road. When it is at a point

A

on the road, a small blob of mud separates from the wheel at its highest point and lands at point

B

on the road.

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 61

Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 62

A hollow sphere and a solid sphere having the same mass and the same radius are rolled down a rough inclined plane.

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 63

Two solid cylinders

P

and

Q

of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder

P

has most of the mass concentrated near its surface, while

Q

has most of its mass concentrated near the axis. Which statement

(s)

is/(are) correct?

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 64

A bob of mass

m

attached to an inextensible string of length

l

is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed

ω rad s^{- 1}

about the vertical. About the point of suspension

A coin of radius r rolls without slipping on a smooth horizontal plane. If the velocity of the centre of mass is v, then what is the velocity of point A on the coin as shown in figure ?

Important Questions on Motion of System of Particles and Rigid Body

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A coin of radius $r$ rolls without slipping on a smooth horizontal plane. If the velocity of the centre of mass is $v$ , then what is the velocity of point $A$ on the coin as shown in figure ?