Two identical small elastic balls have been suspended using two strings of different length (see fig (a)). Pendulum A is pulled to left by a small angle `theta_(0)` and released. It hits ball B head on which swings to angle `2 theta _(0)` from the vertical. Calculate the time period of oscillation of A if its length is known to be L.

A simple pendulum of length 20cm and of mass 0.1kg is pulled to one side through an angle theta and released.If its maximum velocity is 1.4ms^(-1) ,the value of theta is ?

Two indentical pith balls, each carrying charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2theta in equilibrium.

A pendulum consists of a small mass m at the end of a string of length L. The pendulum is pulled aside making an angle theta with the vertical and released. Taking the suspension point as the axis, at the instant of release

A heavy & big sphere is hang with a string of length l. This sphere move in a horizontal circular path making an angle theta with vertical then its time period is

A simple pendulum of length l is set in motion such that the bob, of mass m, moves along a horizontal circualar path , and the string makes a constant angle theta with the vertical. The time period of rotation of the bob is l and the tension in the thread is T

A coical pendulum consists of a string of length L whose upper end is fixed and another end is tied to a bob. The bob is moving in horizontal circle with constant angular speed omega such that the string makes a constant angle theta with the verticle. calculate time period T_(0) of revolution of bob in terms of L,g and theta .

A heavy small sized sphere is suspended by a string of length l . The sphere rotates uniformly in a horizontal circle with the string making an angle theta with the vertical. Then the time period of this conical pendulum is-

(i) A small steel ball (B) is at rest on the edge of a table of height h. Another identical steel ball (A) is tied to a light string of length L =1.0 m and is released from the position shown so that it swings like a pendulum. At the lowest position of its path it hits the ball B which is at rest. Ball B flies off the table and hits the ground in time t. After collision the ball A keeps moving for a time t before coming to rest for the first time. Find the value of h if t = t. Collision between the balls is head on and coefficient of restitution is e = 0.995. (ii) A pendulum has a particle of mass m attached to a massless rod of length L. The rod is released from a position where it makes an angle theta_(0)(gt(pi)/(2)) with the vertical. The time period of oscillation is observed to be T_(0) . Another similar pendulum has a rod of length 2L. Time period of this pendulum when released from position theta_(0) is T. Which is larger T or T_(0) ?

Two identical balls each having a density rho are suspended from as common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium each string makes an angle theta with vertical. Now, both the balls are immersed in a liquid. As a result the angle theta does not change. The density of the liquid is sigma . Find the dielectric constant of the liquid.