A simple pendulum hangs from the ceiling of a car. If the car accelerates with uniform acceleration, the frequency of the simple pendulum will:
Increase
Decrease
Become infinite
Remain constant
If a simple harmonic oscillator has got 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
A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/s and 8cm/s. Then the time period of the body is:
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 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 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
A particle moving along the X-axis executes simple harmonic motion; then the force acting on it is given by:
-AKx
A cos Kx
A exp(-Kx)
AKx
A rectangular block of mass m and the area of cross-section A floats in a liquid of density .If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then
A spring has a certain mass suspended from it and its period of vertical oscillations is T. The spring is now cut into two halves and the same mass is suspended from one of the halves. Find out the period of vertical oscillation ?
2 T
T/2
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 ?