for the situation shown in figure find the final position of BLOCK from the point c on BC, mu=0.4
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where is figure but I'll try it myself
Consider that both the blocks are displaced by x each then, by energy method
21k(2x)2+21mv2+21mv2= constant
mv2+2kx2= constant
Taking derivative of both sides wrt t
m×2vdtdN+2k×2xdtdx=0
ma+2kx=0 [dtdv=a;dtdx=v]
⇒a=−(m2k)x [a=−ω2x] i.e., it is SHM
⇒ω=m2k
Thus, time period (T)=2π2km
[T=ω2π].
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