Physics, asked by DebarghyaSen9430, 11 months ago

The moment of inertia of a solid sphere about a diameter is 2/5mr2,find the moment of inertia of the sphere about a tangent

Answers

Answered by sushmitha1427
4

(1) Given,

Moment of inertia of the sphere about its diametre = (2/5)mR²

Use, parallel axis theorem ,

Moment of inertia of the sphere about tangent = I + mR²

= (2/5)mR² + mR²

= (7/5)mR²

(B) given,

Moment of inertia of disc of mass m and radius R about any of its diametre = mR²/4

See the figure ,

Moment of inertia about diametre = Ix = Iy= (1/4)mR²

Use , perpendicular axis theorem ,

We know, Iz = Ix + Iy

Where Iz is moment of inertia about perpendicular axis of plane of disc .

Iz = (1/4)mR² + (1/4)mR²

= (1/2)mR²

Now, moment of inertia of disc about passing through a point of its edge

______________________________

Use , parallel axis theorem ,

I = Iz + mR²

= (1/2) mR² + mR²

= (3/2)mR²

Answered by Anonymous
0

the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force. an analogous property of a force: electric inertia.

Similar questions