Simple Harmonic Motion

What is the definition of SHM?

• periodic motion without loss of energy in which the acceleration of a body is directly proportional to its displacement and is directed towards the equilibrium position but in opposite direction of the displacement.

• periodic motion without loss of energy in which the acceleration is directly proportional to its velocity and is directed towards the equilibrium position but in opposite direction of the velocity.

• periodic motion without loss of energy in which the acceleration of a body is inversely proportional to its displacement

• periodic motion without loss of energy in which the angular frequency is directly proportional to its displacement and is directed towards the equilibrium position but in opposite direction of the displacement.

Position at which the body would come to rest if it were to lose all of its energy refers to

• equilibrium position

• maximum displacement / amplitude

• periodic position

• good position

A (a-x) graph is shown above. Given the angular frequency is 2 rad s^-1. The value of maximum acceleration is

• 40 ms^-1

• 20 ms^-1

• 60 ms^-1

• 30 ms^-1

The number of cycles or oscillation made in one second is defined as

• time taken

• period

• frequency

• amplitude

Which of the following is the expression for the above graph?

• x = 2 sin (2πt)

• x = 2 cos (2πt)

• x = 2 sin (0.5πt)

• x = 10 sin (2πt)

A simple pendulum oscillate in simple harmonic motion. Time taken for the pendulum complete 10 oscillation is 5 seconds. Calculate the period of the motion.

• 0.5 s

• 2π/5 s

• 10 s

• 0.1 s

Given an expression of x = 10 sin (0.25πt) where x in cm, t in second. Which of these answers are true?

• the frequency is 0.125 Hz

• the amplitude is 10 m

• the angular frequency is 0.125 rad s^-1

• at t = 0, x = 10 cm

A load is place at the end of a spring and oscillate along a 20 cm distance. it took 2 seconds to complete oscillation. Which of the following graph represents these information?

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• 
• 

Given an expression of a SHM

x = 10 sin (11.4t). Calculate the time taken when x=10 cm for the 1st time

• 0.138 s

• 1.24 s

• 11.11 s

• 0.79 s