Free Printable LU 10: Simple Harmonic Motion (Day 3)

1.

Simple Harmonic Motion (SHM) is a ...... motion of a body between two fixed positions without loss of energy.

a)

inconsistent

b)

continuous

c)

periodic

2.

Amplitude represents the ........... magnitude of the displacement from the equilibrium position.

a)

minimum

b)

maximum

3.

In the expression of displacement-time wave equation, $x=A\sin\left(wt+\phi\right)$ ,

$\phi$ is known as ......

a)

phase constant

b)

phase angle

4.

Which of the following equation represents the displacement-time wave equation of SHM?

a)

$x=A\sin\left(wt+\phi\right)$

b)

$x=A\tan\left(wt+\phi\right)$

c)

$x=A\sin\left(wt+kx\right)$

5.

If $\Delta\phi=0$ , $x_2$ is ........... with $x_1$ and constant with time.

a)

antiphase

b)

out of phase

c)

inphase

6.

If the phase difference $\Delta\phi>0$ , $x_2$ ...... $x_1$ by phase difference $\frac{\pi}{2}$ radian and constant with time.

a)

lags behind

b)

leads

7.

Which of the following derivation is correct?

Choose CAREFULLY: (1 minute)

a)

$\frac{\text{d}}{\text{d}t}\left[\sin\left(7\pi t+9\phi\right)\right]$

$=-\left(7\pi\right)\cos\ \left(7\pi t+9\phi\right)$

b)

$\frac{\text{d}}{\text{d}t}\left[-\sin\left(\frac{4}{5}t-6\phi\right)\right]$

$=-\frac{4}{5}\cos\left(\frac{4}{5}t-6\phi\right)$

c)

$\frac{\text{d}}{\text{d}t}\left[\sin\left(\frac{8}{5}\pi t+\frac{2}{5}\phi\right)\right]$

$=\left(\frac{8}{5}\pi\right)\cos\left(\frac{8}{5}\pi t\right)$

d)

$\frac{\text{d}}{\text{d}t}\left[-\sin\left(3t-7\pi\phi\right)\right]$

$=\left(3\right)\cos\ \left(3t-7\pi\phi\right)$

LU 10: Simple Harmonic Motion (Day 3)

Total questions: 7

Worksheet time: 2mins

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