Physics Gravitational Force
a. Consider a wire with mass M bent into the shape of one-quarter of a circle with radius R. What force will the wire exert on a point-mass (m) placed at its center of curvature?

b. What force would the rod exert on the point mass (M), if the point-mass were located on the y-axis at the point (0, 2L)? The rod remains on the x-axis between (0,0) and (L,0). Hint: This will require trigonometric substitution. Make sure you can correctly set up any definite integrals that needs to be evaluated. Start with a picture and find the magnitude of the force a small mass “dm” exerts on M. Draw in the components of this force. Determine what trigonometric functions are needed to find each component