SHM Springs*

A mass attached to a spring vibrates back and forth. At the equilibrium position, the

• acceleration reaches a maximum.
• velocity reaches a maximum.
• net force reaches a maximum.
• velocity reaches zero.

The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’s

• period.
• frequency.
• vibration.
• amplitude.

For a system in simple harmonic motion, which of the following is the time required to complete a cycle of motion?

• amplitude
• period
• frequency
• revolution

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

Which of the following is a true statement regarding springs?

• The higher the value of the spring constant, the stiffer the spring.  
• In Hooke's law, the force exerted by the spring acts in the same direction as displacement.  
• Springs are designed to provide unpredictable variations in force.  
• The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.  

A cylinder hangs motionless 40 cm below its equilibrium position from a spring with a constant of 50 N/m.  What is the mass of the cylinder?

• .8 kg
• 1.25 kg
• 2 kg
• 6 kg

Which position shows the spring with maximum elastic potential energy?

• A
• B
• C
• D

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 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 simple harmonic oscillator takes 4.8 s to undergo five complete vibrations. What is the frequency of 1cycle? 

• 1.04 s
• 4.8 s
• 1/4.8 s