First slide

Applications of SHM

Question

An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is 15 cm/sec and the period is 628 milli-seconds. The amplitude of the motion in centimeters is

Moderate

A

3.0
B

2.0
C

1.5
D

1.0

Solution

$v_{\max} = aω = a \frac{2 π}{T}$
$\Rightarrow a = \frac{v_{\max} T}{2 π} = \frac{15 \times 628 \times 10^{- 3}}{2 \times 3 .14} = 1 .5 cm$

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