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Question

The acceleration (in m/s2) of movable pulley P is and block B is , if acceleration of block A=1 m/s2 downwards.


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Solution


From the figure, we can say:
SM+ON+RB=constant
If block B is assumed to move up, pulley P will move down so that the string between them remains taught.
vP+vP+(vB)=0
2vP=vB
2aP=aB

Also,
AC+DE+FN=constant
vA+0+(vP)=0
aA=aP
aP=1 m/s2
aB=2 m/s2

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