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150_Physics ProblemsTechnical Physics

150_Physics ProblemsTechnical Physics - 152 P5.68 The Laws...

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152 The Laws of Motion P5.68 Since it has a larger mass, we expect the 8.00-kg block to move down the plane. The acceleration for both blocks should have the same magnitude since they are joined together by a non-stretching string. Define up the left hand plane as positive for the 3.50-kg object and down the right hand plane as positive for the 8.00-kg object. F m a m g T m a F m a m g T m a 1 1 1 1 1 2 2 2 2 2 35 0 35 0 = °+ = = °− = : sin . : sin . FIG. P5.68 and °+ = °− = 3 50 9 80 35 0 3 50 8 00 9 80 35 0 8 00 . . sin . . . . sin . . . a fa f a fa f T a T a Adding, we obtain + = 45 0 19 7 11 5 . . . N N kg a f a . (b) Thus the acceleration is
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