A system with two particles has two normal modes ω1=1 and  ω2=2. The position of one particle is denoted x1 and the position of the second is denoted x2. When oscillating in the first normal mode the particles obey x1=x2 and in the second normal mode  x1=−x2. At t=0, the two particles are released from rest with x1=1 meters and  x2=0 meters. what is x1  at t=π ?

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A system with two particles has two normal modes ω1=1 and  ω2=2.

The position of one particle is denoted x1 and the position of the second is denoted x2.

When oscillating in the first normal mode the particles obey x1=x2

and in the second normal mode  x1=−x2.

At t=0, the two particles are released from rest with x1=1 meters and  x2=0 meters.

what is x1  at t=π ?

 

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