Question

# If acceleration of block A is 2 m/s2 to left and acceleration of block B is 1 m/s2 to left, then what will be the acceleration of block C? Assume that the surface and pulleys are smooth and string is inextensible.

A
1 m/s2 upwards
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B
1 m/s2 downwards
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C
2 m/s2 downwards
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D
2 m/s2 upwards
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Solution

## The correct option is A 1 m/s2 upwardsLet the acceleration of the block C be aC and the acceleration for the intercepts of the string whose length is decreasing to be negative. Since the string is inextensible, l1+l2+l3+l4+l5=constant Double differentiating the above equation w.r.t time, we get the equation in the form of acceleration i.e. −ac+2+2−1−1−ac=0 ac=1 m/s2↑

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