Find the acceleration of block A if block C is moving with acceleration a=3m/s2 as shown in the figure. Assume the surface to be frictionless and pulleys and string ideal. Take g=10m/s2
A
2m/s2
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B
1m/s2
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C
4m/s2
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D
5m/s2
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Solution
The correct option is B1m/s2 The given system can be reframed as shown
From constraint condition and using method of intercept we have,
From FBD of A and B T−5g=5aA……(2) 2T−10g=10aB……(3)
On solving above two equation, we get aA=aB
Putting this value in equation (1), we get 3aA=a=3m/s2 ⇒aA=1m/s2
Hence, acceleration of block A is 1m/s2