A particle executes simple harmonic motion with a frequency f. The frequency with which kinetic energy oscillates will be:
f
4 f
2 f
f/2
The total energy of a body performing S.H.M. depends on :
k,a,m
k,a,x
k,a
k,x
Two simple pendulums of length 0.5m and 2.0m respectively are given small linear displacement in one direction at the same time. They will again be in the same phase when the pendulum of shorter length has completed oscillations:
5
1
2
3
A particle of mass 10 g is executing S.H.M, with an amplitude of 0.5 m and periodic time of second. The maximum value of force acting on the particle is:
25 N
5 N
2.5 N
0.5 N
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
If a simple harmonic oscillator have a displacement of 0.02 m and acceleration equal to 2.0m/s2 at any time, the angular frequency of the oscillator is equal to :
10 rad/s
0.1 rad/s
100 rad/s
1 rad/s
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
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
The particle executing simple harmonic motion has a kinetic energy . The maximum values of the potential energy and the total energy are respectively:
0 and 2K0
K0 and 2 K0
K0 and K0
The time period of a simple pendulum is 2 s. If its length is increased by 4 times, then its period becomes:
16 s
12 s
8 s
4 s
