A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

Related Mcqs:

1. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

   A. proportional to A
   B. proportional to A2
   C. proportional to 1/A2
   D. independent of A

2. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?

   A. A
   B. A/2
   C. A/V2
   D. AV2

3. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?

   A. 1:2
   B. 1:1
   C. 2:1
   D. 3:1

4. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

   A. 1.00 m/sec
   B. 1.57 m/sec
   C. 3.14 m/sec
   D. 6.28 m/sec

5. A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes____________________?

   A. E
   B. E/2
   C. 2E
   D. 4E

6. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?

   A. a simple harmonic motion
   B. a rectilinear motion with constant speed
   C. a damped oscillatory motion
   D. none of the above

7. A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be___________________?

   A. E
   B. E/2
   C. 2E
   D. 4E

8. In a simple harmonic motion, the position of equilibrium is always_________________?

   A. stable
   B. unstable
   C. neutral
   D. none of the above

9. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?

   A. 1/3
   B. 2/3
   C. 1/9
   D. 8/9

10. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?

    A. 50 J
    B. 150 J
    C. 200 J
    D. 400 J