There is a body having mass m and performing S.H.M. with amplitude a. There is a restoring force , where x is the displacement. The total energy of body depends upon -
1. K, x
2. K, a
3. K, a, x
4. K, a, v
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)
1.
2.
3.
4.
A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statements is true ?
1. P.E. is maximum when x = 0
2. K.E. is maximum when x = 0
3. T.E. is zero when x = 0
4. K.E. is maximum when x is maximum
A man measures the period of a simple pendulum inside a stationary lift and finds it to be T sec. If the lift accelerates upwards with an acceleration , then the period of the pendulum will be
1. T
2.
3.
4.
The total energy of a particle, executing simple harmonic motion is
1.
2.
3. Independent of x
4.
The bob of a pendulum of length l is pulled aside from its equilibrium position through an angle and then released. The bob will then pass through its equilibrium position with a speed v, where v equals
1.
2.
3.
4.
A body is executing Simple Harmonic Motion. At a displacement x its potential energy is and at a displacement y its potential energy is . The potential energy E at displacement is
1.
2.
3.
4. None of these.
The equation of motion of a particle is where K is positive constant. The time period of the motion is given by
1.
2.
3.
4.