A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is 

1.  Disc

2.  Sphere

3.  Cylinder

4.  Ring

Concept Questions :-

Moment of inertia
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A wheel of radius 20 cm forces applied to it as shown in the figure. The torque produced by the forces 4 N at A, 8 N at B, 6 N at C at D at angles indicated is

                 

1.  5.4 N-m anticlockwise

2.  1.80 N-m clockwise

3.  2.0 M-m clockwise

4.  3.6 n-m clockwise

 

Concept Questions :-

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A projectile of mass m is fired with velocity v from a point P, as shown. Neglecting air resistance, the magnitude of the change in momentum between the points P and arriving at Q is

                       

1.  Zero

2.  mv2

3.  mv 2

4.  2 mv 

Concept Questions :-

Linear momentum
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The moment of inertia of a thin rectangular plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is 

                            

1.  I1 + I2

2.  I2 + I4

3.  I1 + I3

4.  I1 + I2 + I3 + I4

Concept Questions :-

Moment of inertia
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The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at speed

1.  zero

2.  v0

3.  2v0

4.  2v0

Concept Questions :-

Rolling motion
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A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

(1) 5  m

(2) 4.8 m

(3) 3.2 m

(4) 3.0 m

Concept Questions :-

Center of mass
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Moment of inertia of a uniform cylinder of mass M, radius R and length l about an axis passing through its center and normal to its axis would be

1.  Ml212

2.  MR22

3.  Ml212 + R24

4.  Ml212 + R22

Concept Questions :-

Moment of inertia
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A particle moves along a circle of radius 20πm with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begin, the tangential acceleration is

(1) 640 π m/s2

(2) 160 π m/s2

(3) 40 π m/s2

(4) 40 m/s2

Concept Questions :-

Rotation motion : Introduction
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If the radius of the earth is suddenly contracted to half of its present value, then the duration of the day will be of

1.  6 hours

2.  12 hours

3.  18 hours

4.  24 hours

Concept Questions :-

Angular momentum
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A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec.  In a time of 2 sec it has rotated through an angle (in radian) of 

(1) 10                (2) 12

(3) 4                  (4) 6

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