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In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1 m respectively and the acceleration  of block A is 5 m/s2 in the downward direction, then the acceleration  (in  m/s^2 ) of block B will be:

Option: 1 0

Option: 2 5

Option: 3 10

Option: 4 2.5

Answers (1)

best_answer

 

Constrain due to ropes & pulley. -

v=wR

a=\alpha R

- wherein

Here we assume that string turns on the pulley without slipping.

 

 

 

Given a_{A}=2\alpha =5m/s^{2}       \Rightarrow \alpha =\frac{5}{2}rad/s^{2}

                                                   \Rightarrow a_{B}=1(\alpha)=\frac{5}{2}=2.5 \ m/s^2

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manish

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