First slide

Simple hormonic motion

Question

A sewing machine needle is oscillating simple harmonically in a vertical line of length 6 cm with a frequency 30 per minute. The displacement of the needle 1/6s after crossing the mean position is

Moderate

A

3 √3 cm
B

√3 cm
C

3 cm
D

1.5 cm

Solution

$A = 3 cm, T = 2 \sec; y = Asin ωt$

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