Complete the gaps, using the words from the box, in the sentences that describe the relationship between the simple harmonic motion graphs.
cosine | sine | identical | motion |
displacement | 45° | 90° | velocity |
The displacement-time graph is a curve identical to a _____________ graph when the oscillator starts from its equilibrium position.
Velocity is the rate of change of _____________
The velocity-time graph is _____________ out of phase with the displacement-time graph
Acceleration is the rate of change of _____________
The acceleration-time graph is _____________ to the displacement graph except reflected on the x-axis.
State the equation for the total energy of a simple harmonic system.
Fig. 1.1 shows the graph of potential, kinetic and total energy of a simple harmonic system for half a period of simple harmonic oscillation.
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Fig. 1.1
Match the labels to the correct place on the graph by drawing a line between them.
Identify, by placing a tick (✓) next to, the correct statements about the key features of the displacement-time graph.
Possible statements about the displacement-time graphs | Place a tick (✓) here if the statement is correct |
The amplitude of oscillations x0 can be found from the maximum value of x |
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If the oscillations start at the positive or negative amplitude, the displacement will be at its minimum |
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The time period of oscillations T can be found from reading the time taken for one full cycle |
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The graph always starts at 0 |
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