Phys Notes Feb26

# Phys Notes Feb26 - Y13-ch9-rot_en 1 9.1 9.3 Rotational...

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Y13-ch9-rot_en 1 9.1 - 9.3 Rotational Kinematics (last class) Angle θ = s R ( radians, dimensionless ) ,s = R θ often, when no units are indicated, radians are understood. angular velocity ω av = θ t ω = d θ dt angular acceleration α av = ω t α = d ω dt = d 2 θ dt 2

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Y13-ch9-rot_en 2 Analogies transl rot x θ v = dx dt ω = d θ dt a = dv dt α = d ω dt x = x 0 + v 0 t + 1 2 at 2 θ = θ 0 + ω 0 t + 1 2 α t 2 v 2 = v 2 0 +2 a x ω 2 = ω 2 0 a θ K = 1 2 Mv 2 K = 1 2 I ω 2 Relations transl rot x = θ r v = ω r a tan = α r
Y13-ch9-rot_en 3 ¨ (Motivating example; similiar to Example 9.9) A 60-kg student is held by a light flexible rope wrapped around a 1-m -radius flywheel. The flywheel consits of two cylinders, radii 1m and 50 cm ,ma sse s 120 kg and 40 kg, respec- tively , attached to the axle and to each other by spokes of a negligible mass. She starts at rest. Determine her speed after falling 5m towards the ground . We would like to solve this problem using conservation of energy. How to do it?

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Y13-ch9-rot_en 4 Recall: for
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## This note was uploaded on 03/19/2008 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.

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Phys Notes Feb26 - Y13-ch9-rot_en 1 9.1 9.3 Rotational...

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