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Q.

A wire of  9.8×103 kg mass per metre passes over a frictionless massless pulley fixed on the top of an inclined frictionless plane, which makes an angle of 300 with the horizontal. Masses M1  and M2 are tied at the two ends of the wire. The mass M1  rests on the plane and the mass M2  hangs freely vertically downwards. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of  100ms1 the value of masses  M1+M2 in kg 

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answer is 30.

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Detailed Solution

M1=Tgsin300,M2=Tg

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A wire of  9.8×10−3 kg mass per metre passes over a frictionless massless pulley fixed on the top of an inclined frictionless plane, which makes an angle of 300 with the horizontal. Masses M1  and M2 are tied at the two ends of the wire. The mass M1  rests on the plane and the mass M2  hangs freely vertically downwards. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of  100ms−1 the value of masses  M1+M2 in kg