1) Two solid disks are both spinning on the same frictionless, vertical axle. Th
ID: 1272269 • Letter: 1
Question
1) Two solid disks are both spinning on the same frictionless, vertical axle. The upper disk is spinning clockwise at 450 rpm (rev/min), and the lower disk is spinning at 280 rpm (rev/min), counterclockwise. The upper disk is released, and it falls a few centimeters onto the lower disk. After the two disks couple together, their final angular velocity is 65 rpm, counterclockwise. If the moment of inertia of the lower disk is 4.8 kg m2, what is the moment of inertia of the upper disk? Apply the angular momentum conservation principle.
The moment of inertia is _____ kg m2.
2) Starting from rest, a hoop rolls without slipping down a long ramp. What is its translational speed when it's 5.0 m below its initial? Assume that the ball's total mechanical energy is conserved.
The hoop's translational speed is m/s
3) Calculate the total kinetic energy of a solid sphere with a mass of 4.0 kg that's rolling without slipping at a linear speed of 3.0 m/s. Be sure to include the rotational kinetic energy of the sphere in your calculation.
The total kinetic energy is J
Explanation / Answer
1) 2.0
2) 7.0
3) 25.2
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