Question

Just the answer please.
1: http://imgur.com/mcaCmMC
2: http://imgur.com/CqJCP0V
3: http://imgur.com/lOMbrCx

Answer 1

Answer on Question #58929 – Math – Trigonometry

Question

Which equation can be used to model simple harmonic motion?

$$d = a \cos(\omega t)$$ $$d = a \sin(\omega t) + k$$ $$d = a \cos[\omega (t + k)]$$ $$d = \sin(a \omega t)$$

**Answer:** $d = A \cos(\omega t)$.

Question

For the simple harmonic motion equation $d = 5 \sin \left( \frac{\pi}{4} t \right)$, what is the maximum displacement from the equilibrium position? _____

Solution

For the simple harmonic motion equation $d = 5 \sin \left( \frac{\pi}{4} * t \right)$, the amplitude is $A = 5$, so the maximum displacement from the equilibrium position is 5.

**Answer:** 5.

Question

For the simple harmonic motion equation $d = 5 \sin \left( \frac{\pi}{4} t \right)$, what is the period? _____

Solution

$$d = 5 \sin \left( \frac{\pi}{4} * t \right), \quad T = \frac{2\pi}{w}, \quad w = \frac{\pi}{4}.$$ $$\text{Period is } T = \frac{2\pi}{\frac{\pi}{4}} = 8 \text{ s}.$$

**Answer:** 8 s.

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