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137_Physics ProblemsTechnical Physics

137_Physics ProblemsTechnical Physics - Chapter 5...

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Chapter 5 139 P5.46 (Case 1, impending upward motion) Setting F P n f n f P P P x s s s s = °− = = = ° = = 0 50 0 0 50 0 0 250 0 643 0 161 : cos . : cos . . . . , , max max µ µ a f Setting F P P P y = °− = = 0 50 0 0 161 3 00 9 80 0 48 6 : sin . . . . . max a f N (Case 2, impending downward motion) As in Case 1, f P s , . max = 0 161 Setting F P P P y = °+ = = 0 50 0 0 161 3 00 9 80 0 31 7 : sin . . . . . min a f N FIG. P5.46 *P5.47 When the sled is sliding uphill F ma n mg f n mg F ma mg mg ma v v a t v a t y y k k x x k f i i = + = = = = + + = = = + = − : cos cos : sin cos θ µ µ θ θ µ θ 0 0 up up up up up x v v t x a t t a t i f = + = + = 1 2 1 2 0 1 2 d i e j up up up up up up 2 f n mg cos θ mg sin θ y x FIG. P5.47 When the sled is sliding down, the direction of the friction force is reversed:
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