Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement (s) is (are) correct ?

(1) Both cylinder P and Q reach the ground at the same time

(2) Cylinder P has larger linear acceleration than cylinder Q

(3) Both cylinder P and Q reaches the ground with same translational kinetic energy

(4) Cylinder Q reaches the ground with larger angular speed

Subtopic:  Rolling Motion (OLD NCERT) |
 50%
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A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity v m/s. If sphere climbs up to height h then value of v should be -

                             

(1) 107gh                                                   

(2) 2gh

(3) 2gh                                                             

(4) 107gh

Subtopic:  Rolling Motion (OLD NCERT) |
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A projectile is fired at angle θ with horizontal with initial speed u. If it breaks into two halves such that one half retraces its path, then the distance of hitting point of the other half from starting point is

1. u2sin2θg

2. 2u2sin2θg

3. u2sin2θ2g

4. u2sinθ2g

Subtopic:  Torque |
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The value of M, as shown, for which the rod will be in equilibrium is (rod is massless)

1.  1 kg

2.  2 kg

3.  4 kg

4.  6 kg

Subtopic:  Torque |
 85%
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The minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination 45° is

1.  2/7

2.  1/3

3.  1/2

4.  2/5

Subtopic:  Rolling Motion (OLD NCERT) |
 70%
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A wheel is rolling along a horizontal ground with a speed o 10 m/s. The magnitude of the velocity of the points at the extremities of the horizontal diameter of the wheel is equal to

(1) 210  m/s

(2) 10 m/s

(3) 10 m/s

(4) 102 m/s

Subtopic:  Rolling Motion (OLD NCERT) |
 72%
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A body of mass m is projected at a velocity v0
with an angle of projection θ. Angular momentum
L of body after time t w.r.to origin is proportional to:
1. Lt                                     2. Lt2
3. Lt0                                    4. Lt

Subtopic:  Angular Momentum |
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A mass M is moving with constant velocity parallel to the X-axis. Its angular momentum with respect to origin is:

1.  Zero

2.  Remains constant

3.  goes on increasing

4.  goes on decreasing

Subtopic:  Angular Momentum |
 77%
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If I is the moment of inertia of a solid sphere about an axis parallel to diameter of a shpere and at a distance x from it. Which of the following graph represents the variation of I with X?

Subtopic:  Moment of Inertia |
 59%
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A particle is rotating under the central force, in which one of the following quantities is constant:

1.  torque

2.  angular momentum

3.  linear momentum

4.  none of these

Subtopic:  Angular Momentum |
 84%
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