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Mandarinka [93]
2 years ago
15

An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T.

The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion?
Physics
1 answer:
sergejj [24]2 years ago
7 0

Answer:\sqrt{2}T

Explanation:

Given

object of mass m is suspended from spring and set in oscillation with time Period T

We know Time period of a mass in oscillation is given by

T=2\pi \sqrt{\frac{m}{k}}

where k=spring constant

When mass m is replaced by a mass of 2 m time period is given by

T'=2\pi \sqrt{\frac{2m}{k}}

T'=\sqrt{2}\times 2\pi \sqrt{\frac{m}{k}}

T'=\sqrt{2}T

i.e. New time period becomes \sqrt{2} times of previous one

                         

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