First slide
Travelling wave
Question

A wire of 9.8×103 kgm1 passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of 30° with the horizontal. Masses m and M are tied at the two ends of wire such that m rests on the plane and M hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of 100 ms–1. Choose the correct option

Moderate
Solution

 

For equilibrium Mg=mg sin30=T

M=m2

v=Tμ

100=Mg9.8×103=M(9.8)9.8×103

100=M(1000) M=10 kg and m=20 kg

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