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

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. 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___________________?

   A. 4.5 J
   B. 9.0 J
   C. 12.0 J
   D. 18.0 J

3. 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

4. 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

5. 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

6. A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?

   A. 6 m/sec
   B. 12 m/sec
   C. 24 m/sec
   D. 48 m/sec

7. 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

8. 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

9. The time period of a simple pendulum depends on__________________?

   1) mass of suspended particle
   2) length of the pendulum
   3) acceleration due to gravity
   The correct answer is

   A. only (1)
   B. both (2) and (3)
   C. both (1) and (3)
   D. all are correct

10. 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