(a) Imagine an

(a) Imagine an .5 meter wrench, that weights 20kg. Use an integral to calculate the moment of inertia equation of the wrench (pretend that it is a rod). Please show each step, and include things such as the bounds of the integral, and why λdx (or λdL) can replace dm. (b) Once you derive the equation for the moment of inertia, use the net torque that you calculated, and calculate the angular acceleration. (c) Finally, calculate how many radians (and rotations) it would travel after four minutes of these torques being applied (pretend that the torques remain constant, and that it started from rest).