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Unformatted text preview: Homework set 11, due Wednesday, November 16, 11:30 am Following problems from Analytical Mechanics by Fowles & Cassiday 1. 8.12 cm mx mg T = && cm I aT ϖ = & cm x a ϖ = && & 2 2 5 cm I ma = 2 1 2 2 5 5 cm cm cm cm I x mx mg mg ma mg mx a a a ϖ = = = & && && && 5 7 cm x g = && 2. 8.20 (20 points) mx mg μ = && x g μ = && x gt μ = & , and 2 1 2 x gt μ = 2 2 5 I ma mga ϖ ϖ μ = =  & & 5 2 g a μ ϖ =  & 5 2 g t a μ ϖ ϖ = o Slipping ceases to occur when v a ϖ = … 5 2 gt a gt μ ϖ μ = o 2 7 a t g ϖ = o 2 1 2 2 7 a x g g ϖ μ μ = o 2 2 2 49 a x g ϖ μ = o 3. 8.22 (20 points) From section 8.7 (see Figure 8.7.1), the instantaneous center of rotation is the point O . If x is the distance from the center of mass to O and 2 l is the distance from the center of mass to the center of percussion O ′ , then from eqn. 8.7.10 … a x T r m g r 2 2 1 2 12 12 cm I l Ml l x M M = = =...
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This note was uploaded on 12/07/2011 for the course PHYS 310 taught by Professor Jones,m during the Fall '08 term at Purdue UniversityWest Lafayette.
 Fall '08
 Jones,M
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