SHMHard
Question
A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x + y) is
Options
A.E1 + E2
B.
C.E1 + E2 + 
D.
Solution
E1 = 
Kx2
E2 = Ky2
E =
K(x + y)2
⇒ E =K(x2 + y2 + 2xy)
= E1 + E2 + K xy
= E1 + E2 + K
= E1 + E2 + 2
Kx2E2 =
Ky2E =
K(x + y)2⇒ E =
K(x2 + y2 + 2xy)= E1 + E2 + K xy
= E1 + E2 + K
= E1 + E2 + 2
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