Mechanics in waves !!!!!!!
A wire of linear mass density 9.8 X 1 0 − 3 passes over a frictionless light pulley fixed on the top of a frictionless inclined which makes an angle 60 degree with the vertical. Masses m and M are tied at the two ends of the wire such that m rests on the inclined 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 m/s. Then m = x kg. Find x ????
The answer is 20.
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1 solution
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Your approach is correct, but I found a mistake.
sqrt(T/m) is velocity of pulse, not sound :P
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Actually we take velocity as v = i n e r t i a l p r o p e r t y e l a s t i c p r o p e r t y
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Yes, but that's velocity of wave in string, and not sound.
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@Jaikirat Sandhu – For all mechanical waves it is same only the above mentioned property changes accordingly.
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@Kushal Patankar – Oh Brother, in your solution. Instead of saying velocity of transverse wave you have written velocity of sound
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@Jaikirat Sandhu – Sorry, I should have written wave over there instead of sound
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@Kushal Patankar – Yes. Now you got it. :P
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@Jaikirat Sandhu – We have a common mistake of taking a wave always as sound , purposefully or non-purposefully, we take it as granted and write it in our unconciousness