First slide

Simple hormonic motion

Question

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

Easy

A

3.0
B

2.0
C

1.5
D

1.0

Solution

Maximum velocity, $v_{\max} = A ω$
or $v_{\max} = A (\frac{2 π}{T})$
$A = \frac{v_{\max} T}{2 π}$
= $\frac{15 \times 628 \times 10^{- 3}}{2 \times 3.14} = 1.5 cm$

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