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A uniform cylindrical turntable of radius 1.50 m and mass 29.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4? rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.49 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.40 m to the east of the axis.
(a) Find the final angular speed of the clay and turntable.
(b) Is mechanical energy of the turntable-clay system constant in this process? (yes or no) What, if any, is the change in internal energy?
(c) Is momentum of the system constant in this process? (Yes or no) What, if any, is the amount of impulse imparted by the bearing? (magnitude and direction)
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A disk with mass m = 8.5 kg and radius R = 0.35 m begins at rest and accelerates uniformly for t = 18.8 s, to a final angular speed of ? = 28 rad/s. What is the moment of inertia of the disk?
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A force vector has a magnitude of 579 newtons and points at an angle 41 Degrees of below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector
You place a penny on a turntable at a distance of 8.0 cm from the center. How long after you turn on the turntable will the penny begin to slide off of the turntable
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King Arthur's knights use a catapult to launch a rock from their vantage point on top of the castle wall, 15 above the moat. The rock is launched at a speed of 21 and an angle of 30 above the horizontal. How far from the castle wall does the launched..
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