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M is a fixed wedge. Masses m1 and m2 are connected by a light string. The wedge is smooth and the pulley is smooth and fixed. m1 = l0 kg and m2 = 7.5 kg. When m2 is just released, the distance it will travel in 2 seconds is

 

a
2.8 m
b
7.5 m
c
4.0 m
d
6.0 m

detailed solution

Correct option is A

F.B.D of m1 and m2Equation of motionFor  m1 : T -m1g(12) = m1a-----(i)For m2 : m2g -T = m2a------(ii)From (i) and (ii), a = (m2-m12)(m1+m2)g  = 107m/s2Hence distance travelled by block m2 in 2 sec; usings = ut+12at2s = 0×2+12(107)×(2)2 = 207m = 2.8 m

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Two masses of I kg and 5 kg are attached to the ends of a massless string passing over a pulley of negligible weight. The pulley itself is attached to a light spring balance as shown in figure. The masses start moving during this interval; the reading of spring balance will be:


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