A cat with its back to the ground can rotate itself 180 degrees while falling in order to land on its feet. It does this with no initial or net angular momentum! Can you explain this? First, use the platform and the bicycle wheel to convince yourself that rotations can be achieved without a net angular momentum. Seat yourself on the platform and devise a method to achieve a net rotation using your arms and legs. Do not use the friction inherent in the platform by using quick, jerking motions! You may wish to put weights in your hands to increase the effectiveness of arm motions. (A cat has great flexibility that allows for very effective movements.) Describe your method

Please help solve for the angular velocity.  The hint is: The torques that accelerate the bananas and the monkey when they land on the platform are internal to the system.

Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass. a.  First calculate the moment of inertia (in kg⋅m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.125 m.  b.  Now calculate the moment of inertia of the skater (in kg⋅m2) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.875 m long rods extending straight out from the center of their body being rotated at the ends.

I was wondering if I could have some guidance on a homework question. I was unable to find help, so I would just like some tips that point me in the right direction. Here is some background info: Setup For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of…

A volley ball players 4.4 kg arm moves at an average angular velocity of 16 rad/s during the execution of a spike. if the average moment of inertia of the extending arm is 0.39 kg*m^2. what is the average radius of rotation for the arm during the spike?

During a 6.0-s time interval, a flywheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. The angular velocity at the beginning of the 6.0s is Blank 1. The angular acceleration of the flywheel is Blank 2.   Round your answer to the nearest 2 decimal places.

A large turntable rotates about a fixed vertical axis, making one revolution in 5.50s. A child of mass 32.0 kg, initially standing at the center of the turntable, runsout along a radius. When the child is 2.10 m from the center, the turntable makesone revolution in 6.70 s. What is the moment of inertia of the turntable? Note thatyou can treat the child as a point particle.

An 8.00-cm-diameter, 370 gg solid sphere is released from rest at the top of a 1.50-m-long, 20.0 ∘∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? Express your answer with the appropriate units.

Kristen is spinning on the ice at 20 rad/s about her longitudinal axis when she abducts her ärms and doubles her radius of gyration about her longitudinal axis from 30 cm to 60 cm. If her angular momentum is conserved, what is her angular velocity about her longitudinal axis before abduction? After abduction?