Oscillations-III.pdf

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ma F = Oscillations-III = + - ψ ψ ψ 2 2 hf E = Muhammad Nadeem School of Electrical Engineering &Computer Sciences [email protected] 2 mc E = dt dB E / - = × Physics 20th Century 21st Century t i V x h h 2 o ε ρ / = E mv P = P r L × = h P x . 0 = B dt dE j B / o o o ε μ μ - = × P h = λ h G k o ε o μ R c

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Pendulums circle5 When we were discussing the energy in a simple harmonic oscillator (mass attached to the spring), we talked about the ‘springiness’ of the system as storing the potential energy. circle5 But when we talk about a regular pendulum there is nothing ‘springy’ – so where is the potential energy stored? circle5 We have seen, the harmonic oscillator (mass attached to the spring) executes SHM under the effect of Hook’s Law. circle5 The pendulum bob is clearly oscillating as it moves back and forth – but is it exhibiting SHM? circle5 To answer these questions, let’s have a little chat! [email protected]

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The Simple Pendulum circle5 A simple pendulum is an idealized body consisting of a particle suspended by a light inextensible cord. circle5 When pulled to one side of its equilibrium position and then released, the pendulum swings in a vertical plane under the influence of gravity. circle5 Hence, the potential energy in a simple pendulum is stored in raising the bob up against the gravitational force. circle5 The motion of pendulum is periodic and oscillatory. circle5 We wish to determine the period of the pendulum. [email protected]
circle5 The weight mg is resolved into a radial component of magnitude mgcos θ and a tangential component of magnitude mgsin θ .

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