Home
Class 12
PHYSICS
Two identical small balls each of mass m...

Two identical small balls each of mass m are rigidly affixed at the ends of light rigid rod of length `1.5 m` and the assmebly is placed symmetrically on an elevated protrusion of width l as shown in the figure.
The rod-ball assmebly is titled by a small angle theta in the vertical plane as shown in the figure and released. Estimate time-period (in seconds) of the oscillation of the rod-ball assembly assuming collisions of the rod with corners of the protrusion to be perfectly elastic and the rod does not slide on the corners. Assume `theta=gl` (numerically in radians), where g is the acceleration of free fall.

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt(l^(2) +(1.5)^2) s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A system is shown in the figure. The force The time period for small oscillations of the two blocks will be

A rigid rod of mass m with a ball of mass M attached to the free end is restrained to oscillate in a vertical plane as shown in the figure. Find the natural frequency of oscillation.

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta ,find the period of oscillations:

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What angle will the rod make with the vertical

Two identical rods each of mass m and length are connected as shown. Locate c.m.

The ends of a rod of length l and mass m are attached to two identical springs as shown in the figure. The rod is free to rotate about its centre O . The rod is depressed slightly at end A and released . The time period of the oscillation is

Two small balls A and B, each of mass m, are joined rigidly at the ends of a light rof of length L. they are placed on a frictionless horizontal surface another ball of mass 2 m moving with speed u towards one of the ball and perpendicular to the length of the rod on the horizontal frictionless surface as shown int he figure. if the coefficient of restitution is 1/2 then the angular speed of the rod after the collision will be

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. Tension in string when it is vertical, is

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What is the rate of change of angular momentum of the rod ?

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is