An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 16 cm. the object is then given a slight push and executes shm. determine the period

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Phoebe Townsend

Physics

Yesterday, 16:50

An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 16 cm. the object is then given a slight push and executes shm. determine the period

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Vazquez · Answer 1

From the formula

F = kx

F = k * 0.16

We know that F = mg = m*9.8

Therefore; kx = mg

Thus, k/m = g/x

Hence, k/m = 9.8 / 0.16 = 61.25

But; ω = √ (k/m) = 2πf = 2π/t

√ (k/m) = 7.8262

Thus, T = 2π / 7.8262

= 0.8024 seconds