The bulging of the Earth at the equator and flattening at the poles is due to

A body of mass 0.4 kg is revolved in a horizontal circle of radius 5 m. If it performs 120 rpm, the centripetal force acting on it is

Two particles with their masses in the ratio 2 : 3 perform uniform circular motion with orbital radii in the ratio 3 : 2. If the centripetal force acting on them is the same, the ratio of their speeds is

When a motorcyclist takes a circular turn on a level race track, the centripetal force is

The maximum speed with which a car can be driven safely along a curved road of radius 17.32 m and banked at 30° with the horizontal is [g = 10 $m\mathrm{/}{s}^{2}m/s^2$ ]

A track for a certain motor sport event is in the form of a circle and banked at an angle $\theta \backslash theta$. For a car driven in a circle of radius r along the track at the optimum speed, the periodic time is

The period of a conical pendulum in terms of its length (L), semivertical angle ($\theta \backslash theta$) and acceleration due to gravity (g), is

A conical pendulum of string length L and bob of mass m performs UCM along a circular path of radius r. The tension in the string is

The centripetal acceleration of the bob of a conical pendulum is

A small object tied at the end of a string is to be whirled in a vertical circle of radius r. If its speed at the lowest point is $2\sqrt{gr}2\; \backslash sqrt\; \{gr\}$ , then