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# Simple Harmonic Motion

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## Simple Harmonic Motion Answer Key

1.
A mass is connected to an ideal spring, as shown. As the amplitude $X$ increases, the period of the simple harmonic motion
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. At the point $x=0$,the kinetic energy of the mass reaches its
1. minimum.
2. maximum.
3. average value.
4. either maximum or minimum, depending on other factors.
3.
A block of mass $m$ is attached to an ideal spring is free to glide on a frictionless table, as shown. At the point $x=X$, the block's potential energy reaches its
1. minimum.
2. maximum.
3. average value.
4. either maximum or minimum, depending on other factors.
4.
In the system shown, the spring constant $k$ is quadrupled by parallely connecting three more identical springs. As a result, the period of the simple harmonic motion will                          .
1. double
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
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 $g$ using a simple pendulum.
• Measure the pendulum's period for several values of its length. Plot the line of best fit of length, in meters vs $4pi^2T^2$, in $s^2$. Acceleration due to gravity $g$, in $m/s^2$is given by the line's slope.
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