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The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis perpendicular to its length is $\frac{M L^{2}}{10} .$ The distance of the axis from the centre of the rod is

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Important Questions on System of Particles and Rotational Motion

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 26

Two rings have their moment of inertia in the ratio of

2 : 1

and their diameters in the ratio of

4 : 1 .

The ratio of their respective masses will be

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 27

A particle of mass

m

is projected with speed

u

at an angle

θ

with the horizontal. The magnitude of torque on the particle about the point of projection when the particle is at the highest point is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 1

The linear mass density

(λ)

of a rod of length

L

kept along

x

-axis varies as

λ = α + β x

; where

α

and

β

are positive constants. The centre of mass of the rod is at

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 3

A bomb of mass

m

is projected from the ground with speed

v

at angle

θ

with the horizontal. At the maximum height from the ground it explodes into two fragments of equal mass. If one fragment comes to rest immediately after explosion, then the horizontal range of centre of mass is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 5

A particle starts from the point

(0, 8)

metre and moves with uniform velocity of

\vec{v} = 3 \hat{i} m s^{- 1}

. What is the angular momentum of the particle after

5 s

about origin (mass of particle is

1 kg

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 6

A ball of mass

1 kg

is projected with a velocity of

20 \sqrt{2} m s^{- 1}

from the origin of an

x y

co-ordinate axis system at an angle

45 °

with

x -

axis (horizontal). The angular momentum [In

S I

units] of the ball about the point of projection after

2 s

of projection is [take

g = 10 m s^{- 2}]

(

y -

axis is taken as vertical)

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 7

The moment of inertia of a uniform semicircular wire of mass

m

and radius

r,

about an axis passing through its centre of mass and perpendicular to its plane is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 8

Moment of inertia of a uniform circular disc about its diameter is

I .

Its moment of inertia about an axis parallel to its plane and passing through a point on its rim will be

The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to its length is ML210. The distance of the axis from the centre of the rod is

Important Questions on System of Particles and Rotational Motion

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The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis perpendicular to its length is $\frac{M L^{2}}{10} .$ The distance of the axis from the centre of the rod is