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Find the force of attraction on a particle of mass m placed at the centre of a semicircular wire of length L and mass M.

Find the force of attraction on a particle of mass m placed at the centre of a semicircular wire of length L and mass M.

Grade:11

3 Answers

Swapnil Saxena
102 Points
9 years ago

Lets consider the radius of the circle = r where r=L/pie.Consider a infinitesimally small part of the semicircular wire d (thita) located at a angle of thita form one end. The mass of this Mrd(thita)/(pie)r= Md(thita)/(pie).Then the force of attraction on the mass m due to this part of the wire is (GmM(d thita)/pie)/(r^2). Integrating the sin component of this force with respect to thita.We get (Gm M/pie)/r^2)cos(thita) from 0 to pie.= (2Gm M/pie)/r^2) putting l/(pie) in place of r. We get (2Gm M)pie/(l^2))

Arnab Mandal
18 Points
9 years ago

Can you please sent me a diagram of the sum that you have used to solve it. please!!!

Swapnil Saxena
102 Points
9 years ago

2499_28105_image.jpg

Here is the required image.

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