In a circus performance, a large 4.6 kg hoop of radius 5.7 m rolls without slipping. If the hoop is given an angular speed of 2 rad/s while rolling on the horizontal and is allowed to roll up a ramp inclined at 17 ◦ with the horizontal, how far (measured along the salako (ts37928) – Rotational Energy/Momentum – irons – (007) 2 incline) does the hoop roll? The acceleration of gravity is 9.8 m/s 2 .

Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r