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Speed of mass on Atwood machine

Question

Speed of mass on Atwood machine
An atwood machine consists of a light fixed pulley with a light inextensible string over it. The ends of the string support masses 0.2 kg and 0.3 kg. The masses areheld at rest beside each other and then released. Neglecting friction, what is the speed of each mass the instant they have both moved 0.4 m ?

Answers

a = (0.3 - 0.2)*9.8 /(0.3 + 0.2) = 1.96 m/s^2

v =√(2as) =√(2*1.96*0.4) = 1.252 m/s


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