First slide

Simple hormonic motion

Question

When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm. By suspending 2.0 kg block to the spring and if the block is pulled through 10 cm and released, the maximum velocity of it in m/s is (g = 10m/s²)

Moderate

A

0.5
B

1
C

2
D

4

Solution

$K = \frac{mg}{x}; T = 2 π \sqrt{\frac{m}{K}}, ω = \sqrt{\frac{K}{m}}, V_{\max} = Aω$

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