Questions
A body is executing a simple harmonic motion such that its potential energy is at x and at y. When the displacement is x+y , the potential energy will be
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Correct option is C
At displacement x, U1 = 12mω2x2⇒ x= 2U1mω2Similarly, y = 2U2mω2When displacement is (x+y), potential energy isU = 12mω2(x+y)2 = 12mω2(x2+y2+2xy) = 12mω2x2+12mω2y2+mω2xy = U1+U2+mω22U1mω2.2U2mω2 = U1+U2+U1U22Similar Questions
The identical springs of constant ‘K’ are connected in series and parallel as shown in figure A mass M is suspended from them. The ratio of their frequencies of vertical oscillations will be
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