A solid disk of radius R is suspended from a spring of linear constant k and torsional constant c as shown in figure in terms of k and c what value of R will give the same period for the vertical and torsional oscillational oscillations of this system?

Options

A. `sqrt((2c)/k)`
B. `sqrt(c/(2k))`
C. `2 sqrt(c/k)`
D. `1/2 sqrt(c/k)`

Answer

A

Explanation

`(2c)/(mR^(2))= k/m`
`R=sqrt((2c)/k)`