Block B (mass Mb) is sitting on a frictionless table attached to a pulley on both ends. A block C (mass Mc) is sitting on top of block B (frictionless contact) attached to the pulley with a massless string on the left hand side of B. On the right hand pulley a block A (mass Ma) is hanging downwards. What is the acceleration of block A with respect to block C?
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Expert's answer
2021-09-25T13:10:29-0400
Explanations & Calculations
Refer to the image attached.
By observation, you can identify that each mass undergoes the same acceleration.
Then apply F = ma to each one along the direction they accelerate.
Now to calculate the acceleration of A with respect to C, virtually stop C (apply an imaginary acceleration on C just to cancel out its acceleration & to be fair apply the same component on A & get the resultant) & and get the resultant acceleration as seen by C.
Then as seen by C, A has two components of accelerations on it, one directing East & the other pointing South. Then the net is,
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