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A-mass-of-2kg-is-attached-to-a-spring-with-constant-8N-m-It-is-then-displaced-to-the-point-x-2-What-time-does-it-take-for-the-block-to-travel-to-the-point-x-1-a-40s-b-60s-c-30s-d-20s-




Question Number 33533 by NECx last updated on 18/Apr/18
A mass of 2kg is attached to a  spring with constant 8N/m.It is⊛  then displaced to the point x=2.  What time does it take for the block  to travel to the point x=1?  a)40s b)60s c)30s d)20s
Amassof2kgisattachedtoaspringwithconstant8N/m.Itisthendisplacedtothepointx=2.Whattimedoesittakefortheblocktotraveltothepointx=1?a)40sb)60sc)30sd)20s
Answered by ajfour last updated on 18/Apr/18
x=2cos ωt = 2cos ((√(k/m)) t)  1=2cos ((√(8/2)) t)  ⇒  2t = (π/3)    ⇒   t=(π/6)s   .
x=2cosωt=2cos(kmt)1=2cos(82t)2t=π3t=π6s.
Commented by NECx last updated on 19/Apr/18
thank you so much sir Ajfour.Your  presence is really felt.
thankyousomuchsirAjfour.Yourpresenceisreallyfelt.

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