Q1. An 80 g, 35 cm long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 13 g ball of clay travelling horizontally at 2.50 m/s hits and sticks to the very bottom tip of the rod.

To what maximum angle, measured from vertical, does the rod (with attached ball of clay) rotate?

Q2. A car travels at 105 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 67.70 cm. Relative to a woman riding in the car and in unit-vector notation, what are the velocity at (a) center, (b) top, and (c) bottom of the tire and the magnitude a of the acceleration at (d) center, (e) top, and (f) bottom of each tire? Relative to a hitchhiker sitting next to the road and in unit-vector notation, what are the velocity at (g) center, (h) top, and (i) bottom of the tire and the magnitude a of the acceleration at the (j) center, (k) top, and (l) bottom of each tire?