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In the figure shown, the strings and pul...

In the figure shown, the strings and pulleys are massless. The blocks are in equilibrium. If the force by the clamp on the pulley is `sqrt(8/3)` mg then `(M)/(m)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
0.67
Balancing forces of m T mg let the force on pulley by clamp be `f_(c ) rarr` for pulley to be in equilibrium `f_(c )` should be equal and opposite to resultant of T and 1

`rarr sqrt(8)/(3) mg = mg sqrt(2(1+cos theta)) rarr cos theta =1/3 =0.33`
`2T cos theta =Mg rarr 2m g1/3 =M g rarr (M)/(m) =2/3 =0.067`
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