A fixed wedge with both surface inclined at 45 0 to the horizontal as shown in the figure. A particle P of mass m is held on the smooth plane by a light string which passes over a smooth pulley A and attached to a particle Q of mass 3m which rests on the rough plane. The system is released from rest. Given that the acceleration of each particle is of magnitude 
then the tension in the string is:
Text Solution
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Applying Newton’s law for the system of m and 3m along the length of the string
we get
3mg sin45 – µ3mg cos 45 – mg sin45 = (3m + m) a
µ = 
as a = 
now making the F.B.D. of m we get
T – mg sin 45 = m a
T = 
+ 
T = 
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