A horizontal surface moves up and down in S.H.M with an amplitude of 1 cm. If mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be
5 Hz
0.5 Hz
1.5 Hz
10 Hz
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 body is executing S.H.M When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/sec and 8cm/sec. Then time period of the body is
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
A system exhibiting S.H.M. must possess
elasticity as well as inertia
elasticity only
inertia only
elasticity, inertia and external force
A particle is executing S.H.M. with an amplitude of 4 cm and time period 12 seconds. The time taken by the particle in going 2 cm from the mean position is T1 seconds. The time taken from this displaced position to reach the extreme position on the same side is T2 seconds. Then T1 /T2 will be
A particle of mass 200 g executes S.H.M. The restoring force is provided by a spring of force constant 80 N/m. The time period of oscillations is
0.15 sec
0.02 sec
0.31 sec
0.05 sec
A particle starts simple harmonic motion from the mean position. Its amplitude is a and time period is T. What is its displacement when its speed is half of its maximum speed ?
Two springs of constants k1 and k2 have equal maximum velocities when executing simple harmonic motion. The ratio of their amplitudes (masses are equal) will be
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
