Question

A uniform rod of mass 2.20 kg and length 2.00 m is capable of rotating about an axis passing through its center and perpendicular to its length. A mass m1 = 4.90 kg is attached to one end and a second mass m2 = 2.60 kg is attached to the other end of the rod. Treat the two masses as point particles. 

At the origina of an xy-coordinate plane a rod of length labeled l rotates around it's midpoint. Attached to either end of the rod is a spherical mass. The lefthand mass is labeled m_2 and the righthand mass is labeled m_1. Both masses have an arrow labeled vector v tangent to the dashed circle they travel as they rotate clockwise. 

(a) What is the moment of inertia of the system in kg · m2? kg · m2 

(b) If the rod rotates with an angular speed of 2.50 rad/s, how much kinetic energy, in joules, does the system have? J 

(c) Now consider the rod to be of negligible mass. What is the moment of inertia of the rod and masses combined, in kg · m2? kg · m2 

(d) If the rod is of negligible mass, what is the kinetic energy, in joules, when the angular speed is 2.50 rad/s? J

Answer 1