First slide

Simple hormonic motion

Question

The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

Moderate

A

T
B

$\frac{T}{\sqrt{2}}$
C

2T
D

$\sqrt{2} T$

Solution

Time period of spring pendulum, T = $2 π \sqrt{\frac{M}{k}}$
If now mass in doubled $T^{'} = 2 π \sqrt{\frac{2 M}{k}} = \sqrt{2} T$

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