Simple Harmonic Motion Quiz

What is Simple Harmonic Motion (SHM)?

• A circular motion around a fixed point

• A random motion with no pattern

• A linear motion without any oscillation

• A repetitivve motion about an equilibrium position.

What is the frequency of oscillation in Simple Harmonic Motion?

• The time it takes for the object to complete one full cycle of motion.

• The rate of change of angular displacement.

• The number of cycles completed in a unit of time.

• The maximum displacement from the equilibrium position.

An object undergoes simple harmonic motion with a period of 0.40 s. The distance between the extreme positions of the object is 6.0 cm. What is the frequency and amplitude of the motion?

• 0.40 Hz 3.0 cm

• 2.5 Hz 3.0 cm

• 0.40 m 6.0 cm

• 2.5 m 6.0 cm

A child on a swing performs 0.2 oscillations per second. What is the period of the oscillation?

• 0.2 Hz

• 5.0 Hz

• 6.3 Hz

• 31 Hz

The pendulum of a wall clock completes 25 oscillations in 30 s. What is the period and frequency of oscillation?

• 0.83 s 1.2 Hz

• 1.2 s 0.83 Hz

• 30 s 0.03 Hz

• 0.03 s 750 Hz

A spring emerges from a fully compressed position to a fully extended position in 1.5 seconds. Calculate the angular frequency of the cuckoo as it emerges from the clock.

• 0.67 rad/s

• 1.5 rad/s

• 2.1 rad/s

• 4.2 rad/s

A force F acting on a point mass depends on the displacement ! of the mass. Which of the relationships between F and ! leads to simple harmonic motion?

• F = -k!

• F = -2k!

• F = 3k!

• F = 4k!

What is the restoring force in Simple Harmonic Motion?

• A force that pulls the object back towards the equilibrium position.

• A force that changes the direction of motion.

• A force that pushes the object away from the equilibrium position.

• A force that keeps the object stationary.

What does the negative sign in the equation for simple harmonic motion indicate?

• The acceleration is constant regardless of displacement.

• The direction of the acceleration is opposite to the displacement.

• The direction of the acceleration is the same as the displacement.

• The acceleration is not related to displacement.

The defining equation of SHM describes the relationship between acceleration, (angular frequency, ), and displacement, !, from the equilibrium position: a = -ω²x. Which value correctly shows the resulting acceleration if the angular frequency was doubled?

• -4ω²

• 1/4ω²

• 2ω²

• 4ω²