A linear harmonic oscillator of force constant 2 x 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J.Select the correct statement :
Maximum potential energy is 160 J
Maximum potential energy is 100 J
Maximum potential energy is zero
Minimum potential energy is 100 J
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 will be:
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
The acceleration of a particle in S.H.M. is:
Always constant
Maximum at extreme positions
Maximum at mean position
Always zero
Which one of the following equations of motion represents a simple harmonic motion ?
Acceleration =-k0 x + k1 x2
Acceleration = -k(x+a)
Acceleration = k(x+a)
Acceleration - kxwhere k,k0,k1 and a are all positive
When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to of its initial value. What will be its amplitude when it completes 200 oscillations ?
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 ?
In SHM restoring force is F=-kx, where k is the force constant, x is the displacement and a is the amplitude of motion, then total energy depends upon:
k,a and m
k,x,m
k,a
k,x
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
Two springs of spring constants k1and k2 are joined in series. The effective spring constant of the combination is given by:
k1 + k2