A wire of $$9.8$$×$$10$$−$$3$$ kgm−$$1$$ 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

Question

A wire of $$9.8$$×$$10$$−$$3$$ kgm−$$1$$ 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

Infinity Learn · Accepted Answer

For equilibrium $$Mg=mg$$ $$sin30=T$$⇒$$M=m2v=T$$μ⇒$$100=Mg9.8$$×$$10$$−$$3=M(9.8)9.8$$×$$10$$−$$3$$⇒$$100=M(1000)$$ ⇒$$M=10$$ kg and $$m=20$$ kg

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