29-09-10 - Wednesday September-29-10 Problems with several...

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Wednesday, September-29-10 - Problems with several accelerated objects o Free-body diagram for each object o Relate forces by finding action- reaction pairs o Look for constraints on the motion to relate accelerations o “F=ma” for each diagram, for each block o (finish looking off slide online) - Atwood’s Machine – look up o Calculate the acceleration of the blocks o Assume: - no friction o Massless rope and pulley o Rope doesn’t stretch - Plan: o Free- body diagram for each mass o Relate tensions, accelerations o Use f= ma o For mass1 = m 1 g – f ti = m 1 a 1 o For mass 2 =f t2 – m 2 g = m 2 a o Tensions are the same because its massless rope and massless pulley o Acceleration is the same but at different directions o When subtracting that for two equations above a resultant equation for both of them is equivalent to = a = (m 1 – m 2 / m 1 + m 2 ) x g o The reason why the tension and acceleration are equal in magnitude is due to the fact that the rope does not stretch
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o Any downward motion of m
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29-09-10 - Wednesday September-29-10 Problems with several...

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