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What changes could you make in a harmonic oscillator that would double the maximum speed of the oscillating object
So, v = wr …… (3)From equation (3) we observed that, since mass (m) is not the fundamental property of the pendulum, therefore keeping mass as a constant quantity, you have to double either frequency of the previous angular frequency of oscillation w or amplitude of the oscillation r to double the maximum speed of the oscillating object2r2 = ½ mw2 …... (2)Where m is the mass of the body and v is the velocity of the body.Substitute equation (2) in equation (1),½ mv2 …… (1)Where m is the mass of the body, w is the angular frequency of the oscillation and r is the amplitude of the oscillation.But kinetic energy K is defined as,K = ½ mv2r2Kinetic energy in simple harmonic motion is the energy possessed by the particle by virtue of its motion.The maximum kinetic energy in simple harmonic motion is defined as,(K) max = ½ mw
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