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Simple Harmonic Motion (Grades 11-12)

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Simple Harmonic Motion

1. 
A mass is connected to an ideal spring, as shown below. As the amplitude [math]X[/math] increases, the period of the simple harmonic motion
Harmonic Motion #5
  1. increases.
  2. decreases.
  3. some times increases and some time decreases, depending on the friction between the mass and the table.
  4. stays the same.
2. 
A mass attached to an ideal spring is free to glide on a frictionless surface, as shown below. At the point [math]x=0[/math],the kinetic energy of the mass reaches its                                                      .
Harmonic Motion #2
  1. minimum
  2. maximum
  3. average value
  4. either maximum or minimum, depending on other factors
3. 
A block of mass [math]m[/math] is attached to an ideal spring is free to glide on a frictionless table, as shown below. At the point [math]x=X[/math], the block's potential energy reaches its                                                      .
Harmonic Motion #1
  1. minimum
  2. maximum
  3. average value
  4. either maximum or minimum, depending on other factors
4. 
In the system shown below, the spring constant [math]k[/math] is quadrupled by parallely connecting three more identical springs. As a result, the period of the simple harmonic motion will                          .
Harmonic Motion #1
  1. double
  2. quadruple
  3. decrease by a factor of 2
  4. decrease by a factor of 4
5. 
In a simple pendulum, decreasing its length by a factor of 4 will                                        .
  1. double its frequency
  2. quadruple its period
  3. decrease its frequency by a factor of 2
  4. decrease its period by a factor of 4
6. 
Under what conditions does a pendulum exhibit a simple harmonic motion?
  1. Amplitude is small.
  2. Friction is negligible.
  3. Air drag is negligible.
  4. All of the above.
7. 
Design an experiment to measure acceleration due to gravity [math]g[/math] using a simple pendulum.



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