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Unformatted text preview: Homework set 8, due Wednesday, October 26, 11:30 am Following problems from Analytical Mechanics by Fowles & Cassiday 1. 6.1 (20 points) 3 4 3 s m V r ρ ρ π = = 1 3 3 4 s m r πρ = ( 29 2 2 4 2 3 3 3 2 4 4 4 3 4 3 2 s Gmm Gm G F m m r πρ πρ = = = 2 1 2 3 3 4 4 3 F F Gm m W mg g πρ = = ( 29 2 11 2 2 3 6 3 1 3 3 2 3 3 6.672 10 4 11.35 1 10 1 4 9.8 3 10 1 F N m kg g cm kg cm kg W m s g m π × ⋅ ⋅ × ⋅ = × × × × ⋅ 9 2.23 10 F W = × 2. 6.3 (20 points) 2 ˆ r GMm F e r =  r The gravitational force on the particle is due only to the mass of the earth that is inside the particle’s instantaneous displacement from the center of the earth, r. The net effect of the mass of the earth outside r is zero (See Problem 6.2). 3 4 3 M r π ρ = 4 ˆ ˆ 3 r r F G mre kre πρ =  =  r The force is a linear restoring force and induces simple harmonic motion.simple harmonic motion....
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 Fall '08
 Jones,M
 Mass, Simple Harmonic Motion, Work, Trigraph, circular orbit, RO

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