Laws of Motion ...

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is

In the arrangement shown in the Fig, the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed.

Mass M moves upwards with a speed

A person is sitting in a lift accelerating upwards. Measured weight of person will be

A mass of 10 kg is suspended from a spring balance. It is pulled aside by a horizontal string so that it makes an angle of 60° with the vertical. The new reading of the balance is

A body of mass 4 kg is accelerated up by a constant force, travels a distance of 5 m in the first second and a distance of 2 m in the third second. The force acting on the body is

Two masses of M and 4M are moving with equal kinetic energy. The ratio of their linear momenta is

A truck is moving on a frictionless surface with uniform velocity of 10 ms^-1. A leak occurs in the water tank of the truck at the rate of 2 kgs^-1. What is the speed of truck after 50 s, if the mass of truck is 100 kg and mass of water in the truck initially was 100 kg?

A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at t = 0. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at t = 0 along the horizontal string AB, with the speed v. Friction between the bead and the string may be neglected. Let t_P and t_Q be the respective times taken by P and Q to reach the point B. Then :