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A mass (M) attached to a spring, oscilla...

A mass (M) attached to a spring, oscillates with a period of (2 sec). If the mass in increased by (2 kg) the period increases by one sec. Find the initial mass (M) assuming that Hook's Law is obeyed.

Text Solution

Verified by Experts

The correct Answer is:
1.6

`T=sqrt((M)/(K))` or `Tpropsqrt3,(T_(2))/(T_(1))=sqrt((M_(2))/(M_(1))) therefore (3)/(2)=sqrt((M+2)/(M))`
Solving this equation we gwt, M=1.6kg.
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