Home
Class 12
PHYSICS
A uniform semi-circular disc of mass m a...

A uniform semi-circular disc of mass `m` and radius `r` is suspended as shown in the figure. If `T` is the time period of small osciallations about an axis passing through point of supension and perpendicular to plane of disk. Then `T` is equal to

A

`2pisqrt((3r)/(8g))`

B

`2pisqrt((3rpi)/(8g))`

C

`2pisqrt((2rpi)/(9g))`

D

`2pisqrt((2r)/(9g))`

Text Solution

Verified by Experts

`I=(mr^(2))/(2)`
`d=(4r)/(3pi)`
`T=2pisqrt((1)/(mgd))=2pisqrt((mr^(3).3pi)/(2xxmgxx4r))=2pisqrt((3rpi)/(8g))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform disc of radius R is pivoted at point O on its circumstances. The time period of small oscillations about an axis passing through O and perpendicular to plane of disc will be

Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

A disc has mass 9 m. A hole of radius R/3 is cut from it as shown in the figure. The moment of inertia of remaining part about an axis passing through the centre 'O' of the disc and perpendicular to the plane of the disc is :

A uniform disc of mass m and radius r is suspended through a wire attached to its Centre. If the time period of the torsional oscillations be T, what is the torsional constant of the wire?

A uniform solid sphere of mass m and radius R is suspended in vertical plane from a point on its periphery. The time period of its oscillation is

A disc of radius R is pivoted at its rim. The period for small oscillations about an axis perpendicular to the plane of disc is

If a circular concentric hole is made on a disc then about an axis passing through the centre of the disc and perpendicular to its plane

A disc of mass m and radius R is rolling on horizontal ground with linear velocity v. What is the angular momentum of the disc about an axis passing through bottommost point and perpendicular to the plane of motion ?

From a circular disc of mass M and radius R , a part of 60^(@) is removed. The M.I. of the remaining portion of disc about an axis passing through the center and perpendicular to plane of disc is