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 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
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:
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 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
Two simple harmonic motions with the same frequency act on a particle at right angles ie, along X and Y-axis. If the two amplitudes are equal and the phase difference is , the resultant motion will be:
A circle
An ellipse with the major axis along y-axis
An ellipse with the major axis along x-axis
A straight line inclined at 45o to the x-axis
A particle executes simple harmonic motion with a frequency f. The frequency with which kinetic energy oscillates is:
f
4 f
2 f
f/2
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 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
