lecture24[1] - Energy Examples with rotation Force and...

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1 Physics 1D03 Energy Serway 7.8, 7.9; 10.8 Examples with rotation Force and Potential Energy Practice problems: Serway chapter 7, problems 47, 51, 52; chapter 10, problems 49, 51, 52, 53, 67 Physics 1D03 θ τ d dW = Δ = W (for a constant torque) K = ½ I ω 2 = P Rotation about a fixed axis Kinetic Energy: Work: (infinitesimal rotation) Power:
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2 Physics 1D03 m 1 m 2 1 m At what speed does m 1 hit the ground when the blocks are released from rest? Solve for a massless pulley. Repeat the solution if the pulley has mass M , radius R , and moment of inertia I . Physics 1D03 Example A thin (uniform) pole of length L and mass m , initially vertical and stationary, is allowed to fall over. Assuming it falls as if hinged at the base, what is its angular velocity just before it hits the ground? Mini-quiz: How much potential energy does it lose as it falls? A) mgL B) 2mgL C) mgL/2
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3 Physics 1D03 Questions: What is the speed of the tip and of the centre of mass? How do these compare with a particle that falls a distance L/2?
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lecture24[1] - Energy Examples with rotation Force and...

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