Uniform Circular Motion

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

1.		2.
3.		4.

A roller coaster is designed such that riders experience "weightlessness" as they go around the top of a hill whose radius of curvature is m. The speed of the car at the top of the hill is between:

1.	m/s and m/s
2.	m/s and m/s
3.	m/s and m/s
4.	m/s and m/s

Two stones of masses and are whirled in horizontal circles, the heavier one in a radius and the lighter one in a radius . The tangential speed of lighter stone is times that of the value of heavier stone when they experience the same centripetal forces. The value of is:
1.
2.
3.
4.

A block of mass is in contact with the inner wall of a hollow cylindrical drum of radius The coefficient of friction between the block and the inner wall of the cylinder is The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be:

1.		2.
3.		4.

A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is . If speed becomes while keeping the same radius, the tension in the string becomes:

1.		2.
3.		4.