The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.

Write sample space S and number of sample points n(S) : The arrow is rotated and it stops randomly on the disc which is divided equally into 6 colours. Find out on which colour it may stop.

If earth stops rotating

In Fig., shown a disc on which a player spins an arrow twice. The function (a)/(b) is formed, where 'a' is the number of sector on which arrow stops on the first spin and 'b' is the number of the sector in which the arrow stops on second spin. On each spin, each sector has equal chance of selection by the arrow. Find the probability that the fraction (a)/(b) gt 1 .

A bus travels 1300 km with an average speed of 65 km/h. If it stops at 8 junctions it takes exactly 1 day to travel the whole distance. Find out the time duration it stops for at each stop.

A man of mass m_(1) stands on the edge of a horizontal uniform disc of mass m_(2) and radius R which is capable of rotating freely about a stationary vertical axis passing through its centre . The man walks along the edge of the disc through angle theta relative to the disc and then stops . find the angle through which the disc turned the time the man stopped . [(2m_(1)theta)/(2m_(1) + m_(2))]

A man of mass m_1 stands on the edge of a horizontal uniform disc of mass m_2 and radius R which is capable of rotating freely about a stationary vertical axis passing through its centre. At a certain moment the man starts moving along the edge of the disc, he shifts over an angle varphi^' relative to the disc and then stops. In the process of motion the velocity of the man varies with time as v^'(t) . Assuming the dimensions of the man to be negligible, find: (a) the angle through which the disc had turned by the moment the man stopped, (b) the force moment (relative to the rotation axis) with which the man acted on the disc in the process of motion.

A disc of radius R and mass m is mounted on a vertical axis through its centre and perendicular to its plane. A rat of same mass m runs around the rim of the disc with speed v anticlockwise relative to stationary observer. The disc rotates clockwise with angular speed omega. The rat finds a piece of bread on the rim and stops. Find the angular velocity of the disc after the rat stops.

A spinner has four colours as shown in the figure. When we spin it once, find a) At which colour, is the pointer more likely to stop? b) At which colour, is the pointer less likely to stop? c) At which colours, is the pointer equally likely to stop? d) What is the chance the pointer will stop on white? e) Is there any colour at which the pointer certainly stops?

A spinner has four colours as shown in the figure. When we spin it once, find a) At which colour, is the pointer more likely to stop? b) At which colour, is the pointer less likely to stop? c) At which colours, is the pointer equally likely to stop? d) What is the chance the pointer will stop on white? e) Is there any colour at which the pointer certainly stops?