SHM Practice Quiz: Spring Period and Graphs

In any system in SHM, the restoring force acting on the mass in the system is proportional to

• the displacement
• the length of the pendulum
• the mass
• the frequency

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

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.

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

When the mass reaches point x = +A, its instantaneous velocity is?

• Maximum and positive

• Maximum and negative

• Zero

• Less than maximum and positive

When the mass reaches point x = 0, its restoring force is?

• Maximum and positive

• Maximum and negative

• Zero

• Less than maximum and negative

When the mass reaches point x = +A, its acceleration is?

• Maximum and positive

• Maximum and negative

• Zero

• Slightly less than maximum and positive

If a force of 20 N stretches a spring 0.5 m, what is the spring constant?

• 10 N/m
• 20 N/m
• 40 N/cm
• 40 N/m

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.  

Which of the equations below gives the correct equation for the period of a horizontal mass-spring system?