A simple pendulum consists of a mass m suspended from a fixed point by a weight less, extension less rod of length l Obtain the equation of motion and, in the approximation that sin , show that the natural frequency is w0 g l, where g is the gravitational field strength Discuss the motion in the event that the motion takes place in a viscous medium with retarding force 2mgl

Question: A simple pendulum consists of a mass m suspended from a fixed point by a weight-less, extension less rod of length l. Obtain the equation

A simple pendulum consists of a mass m suspended from a fixed point by a weight-less, extension less rod of length l. Obtain the equation of motion and, in the approximation that sin θ ≡ θ, show that the natural frequency is w0 = √g/l, where g is the gravitational field strength. Discuss the motion in the event that the motion takes place in a viscous medium with retarding force 2m√gl θ.

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