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Pls help me with this question(attached image)....I tried solving using constraint equation but I can't get the answer...

Pls help me with this question(attached image)....I tried solving using constraint equation but I can't get the answer...

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Grade:12

1 Answers

ManpreetK
32 Points
6 years ago
Let tension in the string attached to the body A be T. Now considering that the tension is same in same string and drawing FBD of pulleys ( at rest, so take tensions in equilibrium) . Find out all the tensions. Now for A:acceleration is upwards and tension T is also upwards .So angle between the two is 0 .For B : acceleration is downwards and tension 2T is upwards .So angle between the two is 180 .For C:acceleration is upwards and tension 2T is also upwards .So angle between the two is 0 .Thus by using relation that sum of dot products of tension and acceleration is zero. We get T aA cos 0 +2T aB cos180 +2T aC cos 0 =0T aA (1)+2T aB (-1)+2T aC (1)=0T aA -2T aB +2T aC =0T aA + 2T aC = 2T aBT( aA + 2aC) = 2T aB aA + 2aC = 2aB

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