A baton twirler in a marching band complains that her baton is defective. The manufacturer specifies that the baton should have an overall length of 70.0 cm and a total mass between 960.0 and 970.0 g (there is one 365-g objects on each end). Also according to the manufacturer, the moment of inertia about the central axis passing through the baton should fall between 0.0900 and 0.0950 kg/m2. The twirler (who has completed a class in physics) claims this is impossible. Required:
a. What is the minimum moment of inertia?
b. What is the maximum moment of inertia?

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