Physics

Problem

The period of vertical oscillation

T

of a body of mass

m

suspended from a light spring depends on the mass

m

and the force constant

k

of the spring. (a) List the dimensional formulas of

T

m

and

k

. (b) Obtain an expression for

T

in terms of

m

and

k

, retaining an undetermined dimensionless constant

C

. (c) Experiments show that

C = 2\pi

. Using this value, calculate the period when

m = 0.50\,\text{kg}

and

k = 200\,\text{N\,m}^{-1}