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 particle of mass $m$ is moving along a trajectory given by
$x = x_{0} + a c o s ω_{1} t$
$y = y_{0} + b s i n ω_{2} t$
The torque, acting on the particle about the origin, at $t = 0$ is:

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Important Questions on Motion of System of Particles and Rigid Body

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NEET

IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 14

A slender uniform rod of mass

M

and length

l

is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle

θ

with the vertical is:

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 15

A force of

40 N

acts on a point

B

at the end of an L-shaped object as shown in the figure. The angle

θ

that will produce the maximum moment of the force about point

A

is given by:
Question Image

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NEET

IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 16

A square loop of side

2 a

and carrying current

I

is kept in

xz

plane with its centre at origin. A long wire carrying the same current

I

is placed parallel to

z

-axis and passing through point

(0, b, 0), (b > > a)

. The magnitude of torque on the loop about

z

-axis will be :

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 17

A mass $m$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$ . If the string does not slip on the cylinder, then with what acceleration will the mass release? (Assume $g =$ acceleration due to gravity)

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Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 18

A light rope is wound around a hollow cylinder of mass

4 kg

and radius

40 cm

. If the rope is pulled with a force of

40 N

, its angular acceleration is______.

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IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 19

The moment of inertia of a disc of radius

0.5 m

about its geometric axis is

2 kg m^{2}

. If a string is tied to its circumference and a force of

10 N

is applied, the value of torque with respect to this axis will be:

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NEET

IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 20

A particle of mass

M

and radius of gyration

K

is rotating with angular acceleration

α

. The torque acting on the particle is,

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IMPORTANT

Physics Crash Course NEET>Chapter 5 - Motion of System of Particles and Rigid Body>Level 2>Q 21

A rod of length $L$ can rotate about end $0 .$ What is the work done if the rod is rotated by $180 °$

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A particle of mass m is moving along a trajectory given by x=x0+a cosω1t y=y0+b sinω2t The torque, acting on the particle about the origin, at t=0 is:

Important Questions on Motion of System of Particles and Rigid Body

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A particle of mass $m$ is moving along a trajectory given by
$x = x_{0} + a c o s ω_{1} t$
$y = y_{0} + b s i n ω_{2} t$
The torque, acting on the particle about the origin, at $t = 0$ is: