Three objects namely (1) a solid sphere, (2) a solid disk and (3) a hoop have identical mass and diameter. They roll down an inclined plank without slipping after being released from rest. Choose the order in which they reach the bottom of the plank.

Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.  b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities.  c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0" in a time interval of 80.5 ms. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye?

A hoop, a spherical shell, a solid sphere, and a hollow cylinder, all with the same mass and same radius are released from rest at the top of an incline.  If they roll without slipping, which is the first to reach the bottom of the incline?   A the hoop   B the spherical shell   C the solid sphere   D the hollow cylinder