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Rotational Inertia –Rolling Kinetic Energy. A solid sphere, a hollow sphere, a hollow cylinder, and a...

Rotational Inertia –Rolling Kinetic Energy.
A solid sphere, a hollow sphere, a hollow cylinder, and a solid cylinder, all of with same mass (M=0.25 kg ) and radius(R= 0.20 m) – are placed at the top of an incline at height (h= 1.5 m ). All the objects are released from rest at the same moment to roll down without slipping.
Hint: search for the rotational inertia formula for each of the rolling object first. Then calculate each of them and list your formulas, solutions, and answer.
a.   Calculate the magnitude of the rotation inertia (moment of inertia) for each object.
b.   Use your answers from part (a) to predict which one reaches to the bottom first List them in the order of arriving to the bottom of the incline.
c.   Find the potential of the objects at the top of the incline.
d.   Use rolling energy to find the speed of each object at the bottom of the incline to verify your answers to part b.
Torque
a. Force of 2.0 N has been applied at angle of 30 ͦ at distance of 80 cm from the pivot point. Calculate the torque.
b. What is the direction of the rotation? Use right hand rule to explain how you determine the direction of the rotation.

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