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Mechanical Properties Of Fluids

Question

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A compound pendulum has radius of gyration K about an axis passing through CG of pendulum and I is the distance of CG from the point of suspension. What is the equivalent length of simple pendulum?

Solution

Equivalent length of the simple pendulum is,
$square root of fraction numerator straight K squared plus straight ell squared over denominator straight ell end fraction end root$

Some More Questions From Mechanical Properties of Fluids Chapter

What is the condition for motion to be simple harmonic motion?

In the displacement equation y = r sin(ωt/ + ϕ) what does ϕ called and what information does it give?

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

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