A rod of negligible thickness and mass per unit length å = A sin 0, where A is a constant, is bent in a quarter circle of radius R as shown in the figure below. A particle of mass m is placed at the center of curvature of the rod. Find the x- component of the gravitational force exerted on the particle by the rod. y R m

A rod of negligible thickness and mass per unit length å = A sin 0, where A is a constant, is bent in a quarter circle of radius R as shown in the figure below. A particle of mass m is placed at the center of curvature of the rod. Find the x- component of the gravitational force exerted on the particle by the rod. y R m