Question

A Mass suspended from a light spring produces an extension of 70 cm It is observed that the mass on being vertical perform 55 simple harmonic vibration in 100 sec compute the value of acceleration due to gravity from these experimental data

Answer 1

Extension =L=70cm=0.7m

Time for 1 simple harmonic vibration =T=100/55=20/11 seconds

We know that

T=2(pie)[sqrt(L/g)]

g=4(pie)^2 (L) /T
g=4(pie^2)(0.7)/(20/21)