Solve this: Q 5 A particle of mass m is placed at the centre of curvature of - Physics - Gravitation

Question

Solve this:

Q 5 A particle of mass m is
placed at the centre of curvature of fixed, uniform semi-circular
ring of radius R and mass M
Calculate the interaction force between the ring and the particle

Vijay Shankar Yadav · Accepted Answer

Dear Student,
Here semicicular part will be symmetric in reference of centerwe can divide it in to two part , which making 900 each at center let a small mass element of ring in both the symmetric partat angle θ from vertical in both the side so dF=2GmdmR2cos(θ)here dm=MπR×Rdθ=MπF=2GmMπR2∫090cos(θ)dθ=2GmMπR2
Regards

Solve this: Q.5. A particle of mass m is placed at the centre of curvature of fixed, uniform semi-circular ring of radius R and mass M . Calculate the interaction force between the ring and the particle.

Solve this:

Q.5. A particle of mass m is placed at the centre of curvature of fixed, uniform semi-circular ring of radius R and mass M . Calculate the interaction force between the ring and the particle.