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
In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic ?
Zero
A system exhibiting S.H.M. must possess
elasticity as well as inertia
elasticity only
inertia only
elasticity, inertia and external force
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 ?
The acceleration of a particle performing S.H.M. is 12 cm/sec2 at a distance of 4 cm from the mean position. Its time period is
2.0 sec
3.14 sec
0.5 sec
1.0 sec
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
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