A block of mass 10 kg is in contact with the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be:
(g=10 m/s2)

1. 10 π rad/s

2. 10 π rad/s

3. 102π  rad/s

4. 10  rad/s

Subtopic:  Uniform Circular Motion |
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Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is-

1. 2

2. 3

3. 4

4. 1

Subtopic:  Uniform Circular Motion |
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A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between:

1.  14 m/s and 15 m/s

2.  15 m/s and 16 m/s

3.  16 m/s and 17 m/s

4.  13 m/s and 14 m/s

Subtopic:  Uniform Circular Motion |
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A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is:

1. MLω22

2. ML2ω2

3. MLω2

4. ML2ω22

Subtopic:  Uniform Circular Motion |
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A particle of mass m is tied to a string of length L and whirled into a horizontal plane. If the tension in the string is T, then the speed of the particle will be:

1. Tlm

2. 2Tlm

3. 3Tlm

4. Tml

Subtopic:  Uniform Circular Motion |
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