A body of mass 5 kg hangs from a spring and oscillates with a time period of 2 seconds. If the body is removed, the length of the spring will decrease by
2 metres
g metres
g/k metres
k/g metres
A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.] such that PB is H. If the acceleration due to gravity is g then velocity of the bob as it passes through B is
zero
2gH
mgH
The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of oscillations is
Which one of the following is a simple harmonic motion ?
Ball bouncing between two rigid vertical walls
Particle moving in a circle with uniform speed
Wave moving through a string fixed at both ends
Earth spinning about its own axis
A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency n. What will be the frequency of oscillations if a mass of 4 m is suspended from the same spring ?
2n
4n
The acceleration of a particle in S.H.M. is
always constant
maximum at extreme positions
maximum at mean position
always zero
The angular velocity and the amplitude of a simple pendulum is and respectively. At a displacement x from the mean position, if its kinetic energy is T and potential energy is U, then the ration of T to U is
Frequency of a simple pendulum in a freely falling lift is
infinite
finite
cannot say
A particle has simple harmonic motion. Its equation of motion is :cm where x is the displacement. If the displacement of the particle is 3 cm, then its velocity in cm/s is
20
16
In a simple harmonic motion, if the displacement is half of the amplitude, then which part of total energy will be kinetic energy ?
1/3
3/4
2/3
1/4