Two blocks of equal mass 'm' are connected by massless string and pulley as shown in figure. Now the blocks are left to move. Then the force exerted by pulley on the clamp is 3√3mgk. Find the value k?
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Solution
Let the acceleration of blocks =a
from (1)
mg−T=ma
For (2)
T−mgsin30=ma
⇒T−mgsin30=mg−T
2T=mg+mgsin30=32mg
T=34mg
Now FBD of clamp with, pully [ref image 2]
Now force exerted by pully on clamp = resultant of the two tension [Ref. image 2]