First slide

Simple hormonic motion

Question

A 20g particle moves in SHM with a frequency of 3 oscillations per second and amplitude of 5 cm. Through what total distance does the particle move during one oscillation? What is its average speed ?

Easy

A

20 cm, 20cm/sec
B

40 cm, 40cm/sec
C

40 cm, 60cm/sec
D

20 cm, 60cm/sec

Solution

Total distance S = 4A ; s = 20cm
Average speed = $\large = \,\frac{s}{t}\, = \,\frac{{20}}{T};\,\,But\,\,f\, = \,3osc/\sec$
$\large T\, = \,\frac{1}{3}\sec$ Average speed $\large = \,\frac{{20}}{1} \times 3\, = \,60cm/\sec \,\,\,\,\,\,$

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