4) A disk rolls without slipping inside a curved track as shown. Given that the ball is solid and of radiusr and the bowl is of radius R: a) Show how you would find the moment of inertia of the disk. b) Find the speed of the disk as it passes through the lowest point on the track given that it starts at an angle θ measured from the vertical line through the center of the bowl.

A rotating solid sphere, (mass = 1kg, radius = 25 cm) starts to spin from rest with a constant angular acceleration of a =1.5 rad / s². After 5s, what is: • The angular velocity of the sphere • The number of rotations (please include fractional answers) The rotational kinetic energy of the sphere if I =MR

LAA-2 A solid disk of radius 15.0cm starts at rest and reaches a final angular speed of 1,200rev/min clockwise after turning thru a total of 80.0 revolutions. rotation a) Find the (constant) angular acceleration of the disk in units of radians and seconds. b) Find the final linear speed in m/s of point P on the rim of the disk. c) Find the magnitude of the tangential acceleration of point P on the rim of the disk. point P R=15.0cm d) Find the magnitude of the radial acceleration of point P on the rim of the disk. e) Sketch on your paper a figure like the one to the right and show arrows that represents atan and arad at point P. 9:47 PM 梦 0 arch 66°F Mostly cloudy 9/23/2021 Gup ISTRUCTION

A diver makes 2.0 revolutions on the way from a 8.8-m-high platform to the water. Assuming zero initial vertical velocity, find the diver's average angular velocity during a dive. Number i Units