Q. No.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
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.
2.
3.
4.
A projectile is fired at angle 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.
2.
3.
4.
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
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
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.
2. 10 m/s
3.
4.
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
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?
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2. |  |
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4. |  |
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
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