A meter stick is hinged at its lower end and allowed to fall from a vertical position.If its moment of inertia is ML²/3,with what angular speed does it hit the table? A)5.42 rad/s B)2.71 rad/s C)1.22 rad/s D)7.67 rad/s

Question

Quizplus · Accepted Answer

The moment of inertia of the meter stick is given as ML²/3. Using conservation of energy, the potential energy at the top (mgh) is converted to rotational kinetic energy (1/2 Iω²) at the bottom. Solving for ω gives ω = sqrt(3g/L), which evaluates to approximately 5.42 rad/s.

A Meter Stick Is Hinged at Its Lower End and Allowed