(1) The earth's radius is 6.37×106m; it rotates once every 24hours.
(A) What is the speed of a point on the equator?
(2) The (Figure 1) shows two thin beams joined at right angles.The vertical beam is 13.0 kg and 1.00 m long and the horizontalbeam is 28.0 kg and 2.00 m long. Neglect the lateral dimensions ofthe beams.
(A) Calculate the gravitational torque on the joined beams aboutan axis through the corner.
(3) A bowling ball is far from uniform. Lightweight bowlingballs are made of a relatively low-density core surrounded by athin shell with much higher density. A 7.0 lb (3.2 kg) bowling ballhas a diameter of 0.216 m; 0.196 m of this is a 1.6 kg core,surrounded by a 1.6 kgshell. This composition gives the ball ahigher moment of inertia than it would have if it were made of auniform material. Given the importance of the angular motion of theball as it moves down the alley, this has real consequences for thegame.
(A) Compare the moments of inertia for these models by findingthe ratio of Ir and Iu.
