You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 14.67 degrees. Solid Rod Swings in Simple Harmonic Motion 0=-0max Determine all the following: 0=+max The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, max = radians The angular velocity when 0 = 65% of full swing, w(0 = 0.65 0max) = NOTE: The first question requires a FORMULA, not a value. rad/sec meters rad/sec
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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