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A rigid rod of length $2 L$ is acted upon by some forces. All forces labelled $F$ have the same magnitude. Which cases have a non-zero net torque acting on the rod about its center?

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Important Questions on Systems of Particles and Rotational Motion

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

A metre stick is balanced on a knife edge at its centre. When two coins, each of mass

5 g

are put one on top of the other at the

12

cm

mark, the stick is found to be balanced at

45

cm

. The mass of the meter stick 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 Merry-go-round, made of a ring-like platform of radius

R

and mass

M

, is revolving with angular speed

ω

. A person of mass

M

is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is

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

A rod of mass

M

and length

L

is placed in a horizontal plane with one end hinged about the vertical axis. A horizontal force

F = \frac{M g}{2}

is applied at a distance

\frac{5 L}{6}

from the hinged end. The angular acceleration of the rod will be

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

A particle performs uniform circular motion with an angular momentum

L

. If the frequency of particle motion is doubled and its kinetic energy is halved, the angular momentum becomes,

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 7 - Systems of Particles and Rotational Motion>Exercise>Q 8

Two bodies have their moments of inertia

I

and

2 I

, respectively, about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio,

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

A circular platform is mounted on a vertical frictionless axle. Its radius is

r = 2 m

and its moment of inertia is

I = 200 k g m^{2}

. It is initially at rest. A

70 k g

man stands on the edge of the platform and begins to walk along the edge at speed

v_{0} = 10 m s^{- 1}

relative to the ground. The angular velocity of the platform is

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

A binary star consists of two stars

A

(mass

2.2

M_{s}

) and

B

(mass

11

M_{s}

), where

M_{s}

is the mass of the sun. They are separated by distance

d

and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star

B

about the 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 3

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

A rigid rod of length 2L is acted upon by some forces. All forces labelled F have the same magnitude. Which cases have a non-zero net torque acting on the rod about its center?

Important Questions on Systems of Particles and Rotational Motion

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A rigid rod of length $2 L$ is acted upon by some forces. All forces labelled $F$ have the same magnitude. Which cases have a non-zero net torque acting on the rod about its center?