1.

An atwood machine is setup in an elevator moving upward at 5 m//s and slowing down at 2m//s^(2) The initial velocity of block B is 2m//s upward and the acceleration of block A is 3 m//s^(2) downwards Find the time (in sec) at which block B will return to its initial position. Assume the string remains taut and the acceleration of the elevator does not change during the required time interval

Answer»

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Solution :`v_(B)+v_(A)=2v_(P)=2xx5`
`2+v_(A)=10 Rightarrow v_(A)=8 uparrow`
`a_(B)+a_(A)=2a_(P)=2xx-2`
`a_(B) -3=-4`
`a_(B)=-1`
`s=0=2xxt-1/2xx1xxt^(2)`
`t=4 SEC`


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