Question

Just the answer please.
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Answer 1

Answer on Question #59343 – Math – Trigonometry

Question

Which of the following is an example of simple harmonic motion?

A ball bouncing on a sidewalk

Calculating the angle of elevation for a building

A police car shining a spotlight into buildings as it drives by

The motion of a rotating beacon

Answer: The motion of a rotating beacon.

Question

For the simple harmonic motion equation $\frac{d}{4} t$ , what is the maximum displacement from the equilibrium position?

Solution

Range of $\sin(x)$ is $E(\sin x) = [-1; 1]$ , range of $5\sin\left(\frac{\pi}{4}x\right)$ is $E\left(5\sin\left(\frac{\pi}{4}x\right)\right) = [-5; 5]$ , hence the maximum displacement from the equilibrium position is 5.

Answer: 5.

Question

For the simple harmonic motion equation $\frac{d}{4} t$ , what is the period?

Solution

$$T = \frac {2 \pi}{\pi} = \frac {2 \pi - 4}{\pi} = 8.$$

Answer: 8.

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