(Solved): A uniform rod of mass 2.30 kg and length 2.00 m is capable of rotating about an axis passing through ...

A unutorm rod of mass $2.96\mathrm{k}$ g and iength $2.60\mathrm{m}$ is capabie of rotating about an anis passing through its center and perpensicular po its iength. Second mass $m_2=3.70\mathrm{kg}$ is attached to the other end of the rod. Treat the two masses as point partices (a) What is the moment of ineria of the syitem in ig:- $m^2$ ? 14 (b) It the red rotase with an anguar apted of 2.40 ratis, how much kinetic energyis wyies, noes the ovitem have? 3 $x$ (a) What is the moment of inertis of the system in $\mathrm{kg}?{\mathrm{m}}^2$ ? $\mathrm{x}$ What is the axis of rotation for the rod? Do the two end masses contribute to the moment of inertia of the rotating $5ystem?\mathrm{kg}?{\mathrm{m}}^2$ (b) If the rod rotates with an angular speed of $2.40\mathrm{rad}/\mathrm{s}$, how much kinetic energy, in joules, does the system have? Consider the basic definition of rotational kinetic energy, $\mathcal{J}$ (c) Now consider the rod to be of negligible mass. What is the moment of inertia of the rod and masses combined, in $\mathrm{kg}?{\mathrm{m}}^2$ ? $x$ The rod's mass is negligible. $\mathrm{kg}?{\mathrm{m}}^2$ (d) If the rod is of negligible mass, what is the kinetic energy, in joules, when the angular speed is $2.40\mathrm{rad}/\mathrm{s}$ ? Check your calculations. 3