Oscillations Te...

Two pendulum of lengths 1m and 1.21 m respectively start swinging together with same amplitude. The number of vibrations that will be executed by the longer pendulum before the two will swing together again are

A system consists of two cubes of masses m₁ and m₂ respectively connected by a spring of force constant k. The force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed is

A weightless rigid rod with a small ball, at the end is hinged at point A to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible thread of length l, fixed at its mid – point. The ball receives a momentum in the direction perpendicular to the plane of the Fig. The period of small oscillations of the system is

A solid cylinder of mass M, radius R is attached to a horizontal mass less spring of spring constant k, so that it can roll without slipping along a horizontal surface. If the cylinder is slightly displaced and released, the time period of the SHM it executes is

A person standing in a stationary lift measures the periodic time of a simple pendulum inside the lift to be equal to T. Now, if the lift moves along the vertically upward direction with an acceleration of g/3, then the periodic time of the lift will now be .........

If the equation for displacement of two particles executing S.H.M. is given by y₁ = 2Sin(10t + è) and y₂ = 3Cos10t respectively, then the phase difference between the velocity of two particles will be ...........

When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be .........

If the maximum velocity of two springs ( both has same mass ) executing S.H.M. and having force constants k₁ and k₂ respectively are same, then the ratio of their amplitudes will be ..........

The bob of a simple pendulum having length ‘l’ is displaced from its equilibrium position by an angle of è and released. If the velocity of the bob, while passing through its equilibrium position is v, then v = ...........

When an elastic spring is given a displacement of 10mm, it gains an potential energy equal to U. If this spring is given an additional displacement of 10 mm, then its potential energy will be ........