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Two blocks A and B of equal mass m are connected through a massless string and arranged as shown .Friction is absent everywhere.When the system is released from rest then find tension in string and acceleration of A.

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Asked by m.nilu 27th July 2018, 11:00 AM
Answered by Expert
Answer:
let a be the acceleration
 
At Block-A :-  mg×sin30 + T = mA × a  .......................(1)
 
At Block-B :- mB×g - T   = mB × a ........................(2)
 
by adding (1) and (2), we get  a = begin mathsize 12px style fraction numerator 2 cross times m subscript B plus m subscript A over denominator 2 cross times open parentheses m subscript A plus m subscript B close parentheses end fraction cross times g end style ..............(3)
By substituting for a in eqn.(2), we get T begin mathsize 12px style equals space 3 over 2 fraction numerator m subscript A cross times m subscript B over denominator m subscript A plus m subscript B end fraction cross times g end style
Answered by Expert 2nd August 2018, 10:26 AM
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