Simple Harmonic Motion Equations

Which of the following statements about an object performing simple harmonic motion is correct? Its acceleration

• is maximum at the extreme ends.

• is constant and directed towards a fixed point.

• is zero when it is displaced from the equilibrium position.

• varies linearly with the displacement from a fixed point and is directed towards the fixed point.

Two simple pendula A and B of equal lengths and of masses 5g and 20g respectively are located in the same environment. The periods Ta and Tb of their respective oscillation are related by the equations

• Ta = 4Tb

• Ta = ¼Tb

• Ta = Tb

• Ta = ⅔Tb

A force of  30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?

• 41 N/m
• 22 N/m
• 34 N/m
• 46 N/m

A pair of trapeze performers at the circus is swinging from ropes attached to a large elevated platform. Suppose that the performers can be treated as a simple pendulum with a length of 16 m. Determine the period for one complete back and forth cycle.

• 2 sec
• 12 sec
• 8 sec
• 10 sec

A pendulum is 0.75 meters long and has a period of 4.17 seconds. The Pendulum is on an unknown planet.  What is the gravity of the Unknown Planet?

• 9.8
• 3.4
• 1.7
• Greater than 9.8

If the length of a simple pendulum is doubled, its period will: 

• halve 
• increase by a factor of sqrt(2) 
• decrease by a factor of sqrt(2)
• double 

From the graph ,the spring constant is.

• 4.5 m

• 15 N

• 20 N/m

• 200 N/m

For a system in simple harmonic motion, which of the following is the number of cycles or vibrations per unit of time?

• amplitude
• period
• frequency
• revolution

The period of a pendulum may be decreased by

• Increasing the mass of the bob
• moving the equilibrium point
• decreasing the mass of the bob
• shortening the length of pendulum

The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?

• the time period

• the total energy

• the maximum velocity

• the maximum acceleration