When Will Node and Antinode Energies Be Equal?

[varunika]

at what time will the energy of a node be equal to energy of an antinode when the time period is T?

 

[sophiecentaur]

Hi
Looks like homework (which should be posted elsewhere - see the top of the list of topics). What do you think about this and what research have you done already? PF makes a point of not just giving answers without the student having shown they have tried a bit.

 

[varunika]

sorry... actually m a new user on this website...unaware of the rules..
what i know is...
that node has zero amplitude..n antinode has maximum amplitude. and that the maximum potential energy= 1/2*ρ*ω²A².
which also equals the kinetic energy..
but i am unable to relate the above information in order to solve the given query.
please guide me if i m wrong anywhere.

 

[sophiecentaur]

Afair, you need to consider the sum of KE and PE at the Antinode. What will the energy be at a node? This link gives a good treatment for strings. I think the answer to your question in in there.