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.
The figure shows a bar suspended from a pivot ? with a calibrated spring attaching the bar to the wall. The length of the bar is 0.970 ?, its mass is 0.775 ??, and the tension measured by the calibrated spring is 3.25 ?. Use the standard coordinate system with +? to the right and +? up the page. (a) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (b) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (c) Write the symbolic equation that represents equilibrium for the torques around point ?. Please use ? = 45.0 degrees, ? = 63.0 degrees, ? = 9.80 ?/? 2 , and calculate the horizontal and vertical components of the force the pivot exerts on the bar and the location of the center of mass of the bar, measured from the pivoted end.
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