Two simple pendulums having length 0.5 m and 2.0 m are displaced linearly a little at the same time. They will be in the same phase when shorter pendulum completes oscillations equal to:
2
5
3
1
Which one of the following statements is true for the speed v and the acceleration of a particle executing simple harmonic motion ?
when v is maximum,is maximum
Value ofis zero, whatever may be the value of v
When v is zero, is zero
When v is maximum, is zero
A point particle of mass 0.1 kg is executing S.H.M of amplitude 0.1 m. When the particle passes through the mean position, its K.E is 8 x 10-3 J. The equation of motion of this particle if its initial phase of oscillations is 45o is:
A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the increase in the time period is:
21%
10%
30%
50%
Two simple harmonic motions of angular frequency 100 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum accelerations is:
1:10
1:102
1:103
1:104
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
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
A particle starts simple harmonic motion from the mean position. Its amplitude is a and the time period is T. What is its displacement when its speed is half of its maximum speed ?
The total energy of a body performing S.H.M. depends on:
k,a,m
k,a,x
k,a
k,x
A body is vibrating in S.H.M. with an amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body are:
5.65 m/s, 5.32 x 102 m/s2
6.82 m/s, 7.62 x 102 m/s2
8.91 m/s, 8.21 x 102 m/s2
9.82 m/s, 9.03 x 102 m/s2
