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From a disc of radius $R$ and mass $M$ , a circular hole of diameter $R$ , whose rim passes through the centre of the disc is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through the centre of the disc?

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Important Questions on Rotational Mechanics

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 30

A disc and a sphere of the same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 31

Two rotating bodies

A

and

B

of masses

m

and

2 m

with moments of inertia

I_{A}

and

I_{B} (I_{B} > I_{A})

have equal kinetic energy of rotation. If

L_{A}

and

L_{B}

be their angular momenta respectively, then

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 32

A solid sphere of mass

m

And radius

R

Is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation

(\frac{E_{sphere}}{E_{cylinder}})

Will be

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 33

A light rod of length

l

has two masses

m_{1}

and

m_{2}

attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 34

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A solid cylinder of radius $5 cm$ is pure rolling on $30 °$ inclined plane. Find out angular velocity after it travels $6 m$ on an incline plane.

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 35

A rope is wound around a hollow cylinder of mass

3 kg

and radius

40 cm .

What is the angular acceleration of the cylinder if the rope is pulled with a force of

30 N ?

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 36

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities

ω_{1}

and

ω_{2}

. They are brought in to contact face to face coinciding the axis of rotation. The expression for the loss of energy during this process is:

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 37

Find the moment of inertia of a uniform annular disc of mass

100 g

, having an inner radius

10 cm

and outer radius

20 cm

, about an axis passing through its centre and perpendicular to its plane.

From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre of the disc is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through the centre of the disc?

Important Questions on Rotational Mechanics

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From a disc of radius $R$ and mass $M$ , a circular hole of diameter $R$ , whose rim passes through the centre of the disc is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through the centre of the disc?