A toy car of mass `2 m` is at rest on a smooth horizontal surface. A small bob of mass m is suspended by a mass less string of length L from the roof of the car. A horizontally flying bullet of mass m enters into the car through a small window and sticks to the bob. Speed of the bullet is u. Find minimum value of u (call it `u_(0)`) for which the bob can touch the roof of the car

A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal accelertion a. The angle made by the string with verical is

A simple pendulum with a bob of mass m is suspended from the roof of a car moving with horizontal acceleration a

Consider a conical pendulum having bob is mass m is suspended from a ceiling through a string of length L. The bob moves in a horizontal circle of radius r. Find (a) the angular speed of the bob and (b) the tension in the string.

A toy car of mass m is placed on a smooth horizontal surface. A particle of mass 3m is suspended inside the car with the help of a string of length l . Initially everything is at rest. A sudden horizontal impulse I = 2m sqrt(gl) is applied on the car and it starts moving. (a) Find the maximum angle q_(0) that the string will make with the vertical subsequently. (b) Find tension in the string when it makes angle theta_(0) with the vertical.

A hollow sphere of mass 'm' and radius R rests on a smooth horizontal surface. A simple pendulum having string of length R and bob of mass m hangs from top most point of the sphere as shown. A bullet of mass 'm' and velocity 'v' partially penetrates the left side of the sphere and stick to it. The velocity of the sphere just after collision with bullet is .

A car is moving with constant speed of 10m/s on a horizontal circular path of radius 10sqrt(3m) . A bob of mass m suspended through a light string from the roof of the car. What is the angle made by the string with the vertical if the bob is stationary with respect to the car? (g = 10 m/ s^(2) )

A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal acceleration a.

A smooth of mass m_(1) is lying on a rigid horizontal string A bob of mass m_(2) hangs from, the ring by an inextensible light string of length l . Find angular frequency of oscillation of the system.

A simple pendulum is hanging from the roof of a trolley which is moving horizontally with acceleration g. If length of the string is L and mass of the bob is m, then time period of oscillation is

A bob of mass 1 kg is suspended from an inextensible string of length 1 m. When the string makes an angle 60^(@) with vertical, speed of the bob is 4 m/s Net acceleration of the bob at this instant is