so... back to the asked question..
in the query.. we have to find the time wen energy at node=energy at anti node.
KE of node = PE of anti node
∴ 1/2Δmv2 = 1/2ΔmV(dy/dx)2
v=λf and f=1/T
∴ v=λ/T
would i be wrong if i relate this in the equation... since we must need to relate the timeperiod with...
so... back to the asked question..
in the query.. we have to find the time wen energy at node=energy at anti node.
KE of node = PE of anti node
∴ i/2Δmv2 = 1/2ΔmV(dy/dx)2
v=√T/μ
would i be wrong if i relate this in the equation... since we must need to relate the timeperiod with energy?
sir... but the following link says exactly what i said: http://hyperphysics.phy-astr.gsu.edu/hbase/waves/powstr.html (please refer to the section: "energy in a string wave" of this link)
energy of a point on a string= 1/2Δmvy2 + 1/2Δmω2y2 (where y is the amplitude of that point)
so this means at a node total energy woul become equal to 1/2Δmvy2 since y=0 and the total energy at the anti node would become equal to 1/2Δmvy2 + 1/2Δmω2(2A)2.
am i right about this?
and if...
a standing wave of time period T is set up in a string clamped between two rigid supports. at t=0 antinode is at its maximum diaplacement 2A. at what time will the energy of antinode be equal to that of a node?
what i know is...
that node has zero amplitude..n antinode has maximum...