Simple Harmonic Motion

A mass-spring system is set into simple harmonic motion. Which graph shows the variation of the acceleration, a, of the mass with its displacement, x? 

• A
• B
• C
• D

The diagram shows a velocity-time graph for a mass moving up and down on the end of a spring. Which point represents the velocity of the mass when at the lowest point of its motion? 

• A
• B
• C
• D

A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it down 10 cm and releasing it. The time for M to travel back to the equilibrium position for the first time is 0.50 s. Which row, A to D, in the table is correct for these oscillations? 

• A
• B
• C
• D

Tags

NGSS.HS-PS3-2

A body moves with simple harmonic motion of amplitude A and frequency b/2π .  
What is the magnitude of the acceleration when the body is at maximum displacement? 

• zero  
• 4π²Ab² 
• Ab² 
• 4π²A/b²

Tags

NGSS.HS-PS2-1

An object oscillating in simple harmonic motion has a time period T. The first graph shows how its displacement varies with time. Which of the subsequent graphs, A to D, show how the kinetic energy, Ek, of the object varies with time? 

• A
• B
• C
• D

Tags

NGSS.HS-PS3-2

NGSS.HS-PS3-1

The period of vertical oscillation of a mass-spring system is T when the spring carries a mass of 1.00 kg. What mass should be added to the 1.00 kg if the period is to be increased to 1.50 T ? 

• 0.25 kg 
• 1.00 kg 
• 1.25 kg 
• 2.00 kg 

A body moves with simple harmonic motion of amplitude 0.90 m and period 8.9 s. What is the speed of the body when its displacement is 0.70 m? 

• 0.11 m s^–1 
• 0.22 m s^–1 
• 0.40 m s^–1 
• 0.80 m s^–1 

Which graph, A to D, shows the variation of the kinetic energy, E_k, with displacement x for a particle performing simple harmonic motion? 

• A
• B
• C
• D

The time period of oscillation of a simple pendulum of length l is the same as the time period of oscillation of a mass M attached to a vertical spring. The length and mass are then changed.
Which row, A to D, in the table would give a simple pendulum with a time period twice that of the spring oscillations? 

• A
• B
• C
• D

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