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Class 11 Physics
System Of Particles And Rotational Motion
Quiz 1
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A body of M.I. 3 kg m² rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
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1 m/s
0%
2 m/s
0%
4 m/s
0%
8 m/s
Explanation
1 m/s
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
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L/2
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L/4
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2 L
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4 L
Explanation
L/4
A thin uniform, circular ring is rolling down an inclined plane of inclination 300 without slipping. Its linear acceleration along the inclined plane will be
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g/2
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g/3
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g/4
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2g/3
Explanation
g/2
Moment of inertia depends on
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Distribution of particles
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Mass
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Position of axis of rotation
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All of these
Explanation
All of these
Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m².
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12 kg m²
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3 kg m²
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6 kg m²
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9 kg m²
Explanation
6 kg m²
If a body is rotating about an axis, passing through its centre of mass then its angular momentum is directed along its
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Radius
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Tangent
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Circumference
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Axis of rotation
Explanation
Axis of rotation
A solid cylinder of mass 20 kg, has length 1 metre and radius 0.5m. then its momentum of inertia in kg m² about its geometrical axis is
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2.5
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5
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1.5
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3
Explanation
2.5
A particle moves on a circular path with decreasing speed. Choose the correct statement.
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Angular momentum remains constant.
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Acceleration is towards the centre.
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Particle moves on a spiral path with decreasing radius.
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The direction of angular momentum remains constant.
Explanation
The direction of angular momentum remains constant.
The M.I. of uniform circular disc about a diameter is I. its M.I. about an axis perpendicular to its plane passing through a point on its rim will be
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4 I
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6 I
0%
8 I
0%
9 I
Explanation
6 I
Which is the wrong relation from the following?
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t = I a
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F = ma
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L = I w
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I = t a
Explanation
I = t a
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
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Moment of inertia
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Angular momentum
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Angular velocity
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Rotational kinetic energy
Explanation
Angular momentum
A hollow cylinder and a solid cylinder having different mass diameter are released from rest simultaneously from the of an inclined plane. Which will reach the bottom first?
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solid cylinder
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cant be determined without knowing their masses
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hollow cylinder
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cant be determined without knowing their diameters
Explanation
solid cylinder
If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then
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t = Ia
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t = Iw
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I = tw
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a = Iw
Explanation
t = Ia
A dancer on ice spins faster when she folds here arms. This is due to
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Increases in energy and increase in angular momentum
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Decrease in friction at the skates
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Constant angular momentum and increase in kinetic energy
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Increase in energy an decreases in angular momentum
Explanation
Constant angular momentum and increase in kinetic energy
The moment of inertia of a uniform semicircular disc of mass M and radius about a line perpendicular to the plane of the disc through the centre is
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(2/5) Mr²
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(1/4) Mr power 2
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(1/2) Mr²
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Mr²
Explanation
(1/2) Mr²
A particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?
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3 m/s
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4 m/s
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5 m/s
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Zero
Explanation
4 m/s
For increasing the angular velocity of an object by 10%, the kinetic energy has to be increased by
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40%
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20%
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10%
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21%
Explanation
21%
0 h : 0 m : 1 s
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