Oscillations Te...

The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude The total energy of the particle is

A mass 1 kg suspended from a spring whose force constant is 400Nm^–1, executes simple harmonic oscillation. When the total energy of the oscillator is 2J, the maximum acceleration experienced by the mass will be

The value of g decrease by 0.1 % on a mountain as compared to sea level. To record proper time here by means of a simple pendulum, its length must be

The length of a second’s pendulum at the surface of earth is 1 m. The length of second’s pendulum at the surface of moon where g is 1/6th that at earth’s surface is

A particle moves such that its acceleration a is given by a = – bx, where x is displacement from equilibrium position and b is a constant. The period of oscillation is

A simple pendulum with a bob of mass ‘m’ oscillates from A to C and back to A such that PB is H. if the acceleration due to gravity is ‘g’, then the velocity of the bob as it passes through B is

A particle starts S.H.M. from the mean position. Its amplitude is A and time period is T. At the time when its speed is half of the maximum speed. Its displacement y is

Two simple harmonic motions act on a particle. these harmonic motions are X = A cos (ωt + δ) ; y = A cos (ωt + a) when δ = a + π/, 2 the resulting motion is

The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination α is given by

The period of a simple pendulum is doubled when its length in increased by 0.9 m. The value of the original length is