Vikas TU
Last Activity: 5 Years ago
Dear student
We know that the time period of an object,
T = 2π√(I/mgL)
where ,
I = moment of inertia from the suspended point
L = distance of its centre from suspended point = r
we know that, the moment of inertia of disc about its centre = mr²/2
using parallel axis theoram the moment of inertia from a point in its periphery,
I = mr² + mr²/2 = 3mr²/2
putting the values in the above equation we get,
T = 2π√(3mr²/2mgr)
= 2π√(3r/2g)
Hence the time period of the disc is 2π√(3r/2g)