(Solved): A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of \( 0.78 \mathrm ...

A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of \( 0.78 \mathrm{~m} \) and a mass of \( 0.50 \mathrm{~kg} \). The rod has a length of \( 1.98 \mathrm{~m} \) and a mass of \( 0.58 \mathrm{~kg} \). The rod is placed on a fulcrum (pivot) at \( x=0.50 \mathrm{~m} \) from the left end of the rod. (a) Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum. \[ \mathrm{kg} \mathrm{m}^{2} \] (b) Calculate the torque about the fulcrum, using CCW as positive. \( \mathrm{N} \mathrm{m} \) (c) Calculate the angular acceleration of the contraption, using CCW as positive. \[ \mathrm{rad} / \mathrm{s}^{2} \] (d) Calculate the linear acceleration of the right end of the rod, using up as positive. \[ \mathrm{m} / \mathrm{s}^{2} \]