Simple Harmonic Motion

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

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 

What is the equation for frequency?

• f = t/n
• f = 1/T
• f = 2 T

A mass-spring system can oscillate with simple harmonic motion because a compressed or stretched spring has which kind of energy?

• kinetic
• mechanical
• gravitational potential
• elastic potential

Based on your findings, which equation could best describe the pendulum’s period?

• A

• B

• C

• D

The velocity of a spring-block system vibrating along the y-axis changes with time according to the equation: 𝑣(𝑡) = 2𝜋 cos(𝜋𝑡 + 𝜋). All quantities in the equation are expressed in S.I units. Consider that the object is initially at the equilibrium position. What is the amplitude (position) of the motion of the object in meter?

• 2/𝜋

• 2

• 2𝜋

• 𝜋/2

The velocity of a spring-block system vibrating along the y-axis changes with time according to the equation: 𝑣(𝑡) = 2𝜋 cos(𝜋𝑡 + 𝜋). All quantities in the equation are expressed in S.I units. Consider that the object is initially at the equilibrium position. What is the maximum acceleration of the object?

• 𝜋

• 2𝜋

• 2𝜋²

• 𝜋/2

The maximum velocity occurs where the ____.

• potential energy is a maximum

  
  

• kinetic energy is a minimum

  
  

• displacement from equilibrium is equal to

  the amplitude of 0.4 𝑚

• displacement from equilibrium is equal to

  zero

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