In an engine, a piston oscillates with simple harmonic motion so thát its position varies according to tne expression, X = 3.00 cos ( 5t + where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. What is effect of the phase constant, Tt/7, in the expression for x(t)? cm (b) At t = 0, find velocity of the piston. Enter a number. hd the velocity v(t) of an object if you know the position as a function of time, x(t)? cm/s (c) At t = 0, find acceleration of the piston. cm/s? (d) Find the period and amplitude of the motion. period amnlitude cm
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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