A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle

Question

A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is :

TestHub · Accepted Answer

We have R = π L ​ ​ g 0 ​ = R 2 G L M ​ ​ = L 2 2 GM π ​ ∴ F m ​ = mg 0 ​ = L 2 2 GM π m ​ ​ Hence option (4)

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