The truck driver who was carrying Egrets earlier in the semester is back. This time he is driving a large pendulum (the bottom of which is bolted to the truck, so that it doesn't move). When the truck is not accelerating the pendulum is set to oscillate with an angle a as shown in the diagram. Then the truck accelerates to the right, and the angle of oscillation of the pen dulum increases toa+0, where 0 is the additional angle gained as a result of the acceleration. Assume, as alway 8, that the length of the pendulum is l, and that 0 is small. Obtain the differenti al equation (you don't have to solve it) for this motion. 1
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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