Simple Harmonic Motion

A particle oscillates with undamped simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true?

• It is least when the speed is greatest.

• It is always in the opposite direction to its velocity.

• It is proportional to the frequency.

• It decreases as the potential energy increases.

Which one of the following statements is true when an object performs simple harmonic motion about a central point O?

• The acceleration is always away from O

• The acceleration and velocity are always in opposite directions.

• The acceleration and the displacement from O are always in the same direction.

• The graph of acceleration against displacement is a straight line.

Which one of the following statements is not true for a body vibrating in simple harmonic motion when damping is present?

• The damping force is always in the opposite direction to the velocity.

• The damping force is always in the opposite direction to the acceleration.

• The presence of damping gradually reduces the maximum potential energy of the system.

• The presence of damping gradually reduces the maximum kinetic energy of the system.

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

Tags

NGSS.HS-PS4-1

When the length of a simple pendulum is decreased by 600 mm, the period of oscillation is halved. What was the original length of the pendulum?

• 800 mm

• 1000 mm

• 1200 mm

• 1400 mm

A body executes simple harmonic motion. Which one of the graphs, A to D, best shows the relationship between the kinetic energy, E_k, of the body and its distance from the centre of oscillation?

• A

• B

• C

• D

Tags

NGSS.HS-PS3-2

The displacement (in mm) of the vibrating cone of a large loudspeaker can be represented by the equation x = 10 cos (150t), where t is the time in s. Which line, A to D, in the table gives the amplitude and frequency of the vibrations.

• A

• B

• C

• D

Tags

NGSS.HS-PS4-1

A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?

• The applied force prevents the amplitude from becoming too large.

• The frequency of the applied force is the same as the natural frequency of oscillation of the system.

• The total energy of the system is constant.

• The amplitude of oscillations depends on the amount of damping.

Tags

NGSS.HS-PS3-2

NGSS.HS-PS4-1

A particle of mass 0.20 kg moves with simple harmonic motion of amplitude 2.0 × 10^–2m.

If the total energy of the particle is 4.0 × 10^–5J, what is the time period of the motion?

• 0.79 s

• 1.57 s

• 3.14 s

• 6.28 s

The graph shows the variation in displacement with time for an object moving with simple harmonic motion. What is the maximum acceleration of the object?

• 0.025 m s^–2

• 0.99 m s^–2

• 2.5 m s^–2

• 9.8 m s^–2

Tags

NGSS.HS-PS2-1