153_Physics ProblemsTechnical Physics

153_Physics ProblemsTechnical Physics - Chapter 5 P5.73 (a)...

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Chapter 5 155 P5.73 (a) Apply Newton’s second law to two points where butterflies are attached on either half of mobile (other half the same, by symmetry) (1) TT 22 11 0 cos cos θθ = (2) m g 0 sin sin −− = (3) 3 0 cos θ = (4) Tm g 0 sin = Substituting (4) into (2) for T sin , g m g 0 sin = . FIG. P5.69 Then T mg 1 1 2 = sin . Substitute (3) into (1) for T cos : 31 1 0 = cos , 1 = cos Substitute value of T 1 : g mg T 3 1 3 2 2 == = cos sin tan . From Equation (4), T mg 2 2 = sin . (b) Divide (4) by (3): T T mg T 223 sin cos = . Substitute value of T 3 : tan tan 2 1 2 = mg mg , 2 1 1 2 = F H G I K J tan tan . Then we can finish answering part (a):
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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