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Parth Desai |
Lives in : Mumbai, Maharashtra,
INDIA
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Make an account on lichess...it's way better
pd2207
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2)Expand LHS and rearranged as follows:
sin^2A + cos^A = 1 ...(1)
2sinAsecA+2cosAcosecA = 2(tanA cotA) = 2secAcosecA(proven below)...(2)
tanA+cotA = (S/C)+(C/S)
=(S^2+C^2)/SC
=1/SC = secAcosecA
sec^2A+cosec^2A = (1/S^2)+(1/C^2)
= (S^2+C^2)/((S^2)(C^2))
=1/(S^2.C^2)
=sec^A.cosec^2A ...(3)
Add them all up
pd2207
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On dividing by (x-1)(x-2) remainder will be of the form ax+b
x=1 => a+b=5
x=2 => 2a+b=7
=>a=2
b=3
=>Remainder = 2x+3
pd2207
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If u dont understand the mechanism still, leave it, dont waste ur time too much...Its not in scope anyway
pd2207
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The two forces are Lorentz forces, one of which is acting in a direction on left side and another in the opposite directon on the right side of the armature coil, thus facilitating a torque about the central axis of the wire...current is obviously flowing in opposite directions on the 2 ends and the direction of magnetic field is same for both ends, therefore the direction of force are opposite...U can check which direction where by left hand rule
pd2207
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I think m stands for mass per unit length and not to be confused with total mass of string right?
pd2207
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Definitely not directly proportional atleast
pd2207
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Frequency inversely proportional to the root of mass per unit length but since we have to find wrt thickness, we substitute m=(pi*r*r)*(density of material)
So r comes out of root and hence: Its inversely proportional to radius
pd2207
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