The total energy of a body performing S.H.M. depends on :
k,a,m
k,a,x
k,a
k,x
A point performs simple harmonic oscillation of period T and the equation of motion is given by After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity ?
A pendulum is displaced to an angle from its equilibrium position; then it will pass through its mean position with a velocity v equal to:
A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured. The time period will:
Increase
Decrease
Remain constant
First increases , then decreases
A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities of the body is 10 cm/s and 8cm/s. Then the time period of the body is:
Two simple pendulums having lengths 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 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
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 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 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
