lec04b-05-203-11-circmotfix-2-16-11

# lec04b-05-203-11-circmotfix-2-16-11 - 5a-1 Circular Motion...

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5a-1 Circular Motion F a Notes: and always point toward the center . a F V all have constant magnitude, but change in direction. 4b-05-1

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4b-05-2
R R N Side View m g f a a V F direction N - mg = 0  direction f = μ s N = μ mg = ma but a = V 2 R μ s =Coef. of friction μ mg = m V 2 R μ s g = V 2 R V = R μ s g R = V 2 μ s g How to build a road How to set speed limit Top View Car on Flat Curve (static friction holds car on curve) s Important: want to find maximum v (car) and minimum R (road). maximum static frictional force needed (no skidding) f fric = μ s N 4b-05-3

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R R θ N Top View Side View m g F NET F NET = N X θ w = -m g N x =N sin θ θ The two forces in the Y-direction must be equal. N F Y = 0 N cos θ - m g = 0 x-direction: F X = N X = mV 2 /R V N y = N cos θ N = m g / cos( θ ) N sin θ = mV 2 /R m g sin θ / cos θ = mV 2 /R tan θ = V 2 / g R y-direction Car on banked Curve (N x holds car on curve, no friction needed ) 4b-05-4
F c F c (a real force) The force that makes

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lec04b-05-203-11-circmotfix-2-16-11 - 5a-1 Circular Motion...

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