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Question: When a load of 0.5 kg is attached to a spring, the extension is 0.2m. If a load of 0.25 kg is attach...

When a load of 0.5 kg is attached to a spring, the extension is 0.2m. If a load of 0.25 kg is attached and released, the time period of oscillation in sec is (Assume g = 10 m/s2)

A

π/5 sec.

B

2π/5 sec

C

2π sec.

D

20 π

Answer

π/5 sec.

Explanation

Solution

0.5g = kx

or, k = 0.5×100.2\frac { 0.5 \times 10 } { 0.2 } = 25 N/m

T = 2π 0.2525\sqrt { \frac { 0.25 } { 25 } } = π5\frac { \pi } { 5 }sec.