Acylinder with moment of inertia i about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling (figure 1) . the cylinder's vertical position as a function of time is y(t). at time t=0 the cylinder is released from rest at a height h above the ground.
a) the string constrains the rotational and translational motion of the cylinder. what is the relationship between the angular rotation rate ? and v, the velocity of the center of mass of the cylinder?
b) remember that upward motion corresponds to positive linear velocity, and counterclockwise rotation corresponds to positive angular velocity.
c) suppose that at a certain instant the velocity of the cylinder is v. what is its total kinetic energy, ktotal, at that instant?
d) suppose that at a certain instant the velocity of the cylinder is v. what is its total kinetic energy, ktotal, at that instant?
Answers: 3
Physics, 22.06.2019 04:00, katieleeisaacs8368
Ametal ball with a mass of 0.028 kg is dropped from rest at a height of 1.0 meters above the ground. assuming the energy in the ball is conserved, how much kinetic energy will the ball have when it is 0.5 meters above the ground?
Answers: 1
Physics, 22.06.2019 14:30, samehajamal1234567
When the displacement of a mass on a spring is 12a the half of the amplitude, what fraction of the mechanical energy is kinetic energy? at what displacement, as a fraction of a, is the mechanical energy half kinetic and half potential?
Answers: 3
Acylinder with moment of inertia i about its center of mass, mass m, and radius r has a string wrapp...
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