An engineer has an odd-shaped 13.5 kg object and needs to find its rotational inertia about an axis through its center of mass. the object is supported on a wire stretched along the desired axis. the wire has a torsion constant κ = 0.618 n·m. if this torsion pendulum oscillates through 28 cycles in 58.1 s, what is the rotational inertia of the object?

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.