The assembly shown in the figure below consists of a thin rod of length
ℓ = 23.2 cm
m = 1.20 kg
with a solid sphere of diameter
d = 10.0 cm
M = 2.00 kg
attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise.
A thin rod of length ℓ and mass m is upright with a sphere of diameter dand mass M attached to the rod at the bottom of the sphere. A pivot is at the bottom of the rod and the rod-sphere system rotates in a clockwise direction.
After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
What is the angular speed (in rad/s) of the rod and sphere?
What is the linear speed (in m/s) of the center of mass of the sphere?
How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.)
vswing is ---Select--- greater than less than vfall by %.
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