A thin rod of length 0.632 m and mass 66.5 g is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 1.35 rad/s. Neglecting friction and air resistance, find (a) the rod's kinetic energy at its lowest position and (b) how far above that position the center of mass rises.

a solid brass ball of mass 0.280 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 14.0 cm, and the ball has radius r < R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? If the ball is released at height h = 6.00R, what are the (b) magnitude and (c) direction of the horizontal force component acting on the ball at point Q?

A uniform thread of linear mass density λ=2. 0 g/m passes through a fixed ideal pulley. At its ends, the thread is stacked into two heaps that do not interfere motion of the thread. A beetle of mass m=80 g tries to manage itself at a constant height on the thread by adjusting its speed relative to the thread

A uniform rod of length 1.20 m and mass 2.00 kg is free to rotate about a frictionless axle through one end. From the horizontal position, the rod is released from rest. A small piece of putty of mass 0.500 kg is suspended from the pivot by a string of negligible mass and length 0.800 m, as shown in the figure below. The putty sticks to the rod on contact. Determine the amount of mechanical energy dissipated in the collision. 1.20 m 0.800 m putty