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Unformatted text preview: m v r M vsin θ-vcos θ vsin θ vcos θ θ v v θ θ Φ r r y A C x A y B x 35° A x C y 18° C B x x B y θ B x’ y y’ θ θ θ θ x 09-17-2009 171.101, General Physics for Physical Science Majors I Reminder from P. Henry: Remember that dx/dt = v; d 2 x/dt 2 = dv/dt = a Acceleration of Uniform Circular Motion Dimensional Analysis a = length/time 2 We know: Masses of Earth and Moon, Velocity of the moon, and the radius of the moon’s orbit about the Earth. Masses have the dimension mass, so they will not be used. v: length/time….v 2 : length 2 /time 2 r: length v 2 /r: length/time 2 a = v 2 /r Newton’s Method of Derivation: An object bounces off a wall with no force of gravity acting upon it. It’s change in velocity goes like this: v = 2vcos ∆ θĵ v = v ∆ f – v i = (vsin î + vcos ) – ((vsin î - vcos ) θ θĵ θ θĵ =2vcos θĵ Now, imagine an infinite number of bounces off a wall (no angles!) + 2 = Φ θ π = /2 – /2 Θ π Φ a = v/ t ∆ ∆ t = r /v ∆ Φ (r...
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This note was uploaded on 10/01/2009 for the course DOGEE 171.101 taught by Professor Henry during the Fall '09 term at Johns Hopkins.
- Fall '09