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Simple Harmonic Motion Physical Pendulum, simple pendulum

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a mass of 0.5 kg is suspened from a spring, which stretches by 8 cm. the support from
which the spring is suspended is set into siusoidal motion. with what frequency should
the tip be tapped to make the strip oscillate with the maximum amplitude?

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The expert examines simple harmonic motion physical pendulum and simple pendulums.

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For the Problem No: 55:
First we have to note that, the mass of the bob will never effect the period of oscillation. For this bob, there are two parts of oscillation. One ( Right side ) before touching the peg. For this part, the time period of oscillation can be given by

= = 2.00708 sec. But for the half of the swing, the time will be
= 1.00354 sec.

Now when peg catches it, the length has become only half of the initial, ie. l = 0.5 m, the oscillation become
= 1.41923 sec.
Hence for the half ...

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