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Question:

The phase space diagram for simple Momentum harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and E1 and E2 are the total mechanical energies respectively. Then:

E1=√2E2

E1=4E2

E1=2E2

E1=16E2

Solution:

Since E is directly proportional to A², So, E1/E2 = A1²/A2². Therefore, E1 = 4E2