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  4. A block of mass 500 g is connected to a spring of spring constant k = 312.4 N/m on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of 5 cm and then released to make SHM . Calculate the time period of its oscillations.

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Q. A block of mass $ 500 \,g $ is connected to a spring of spring constant $ k = 312.4\,N/m $ on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of $ 5\, cm $ and then released to make $ SHM $ . Calculate the time period of its oscillations.

AMUAMU 2012Oscillations

Solution:

Time period, $T = 2\pi \sqrt{\frac{m}{k}}$
$ = 2\times 3.14 \sqrt {\frac{500/1000}{312.5}}$
$ = 0.25\,s$