Physics 45 Week 11 Worksheet SHM-8 The mass in the horizontal spring-mass system shown below is found to have a maximum displacer of 15.0cm from its equilibrium position. It takes 0.250s to make a round trip (full cycle). frictionless surface Equilibrium position a) Find the maximum (not average) speed reached by the mass during one cycle. b) For what value(s) of x does the mass have this maximum speed? c) In one cycle, how many times does the mass have this maximum speed? d) Find the value(s) of x for which the speed is one half of the maximum speed. e) Find the maximum acceleration of the mass. f) In one cycle starting at x-0, how many times does the mass have this maximum acceleration? g) For what value(s) of x does the mass have this maximum acceleration? lom
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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