rection of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a) What is the force constant of the spring? 236.6 ✔ N/m (b) What are the angular frequency w, the frequency, and the period of the motion? w = 21.542✔✔ rad/s f = 3.429 T = 0.292 (c) What is the total energy of the system? 0.2958 J Hz S (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax = amax = a = m/s m/s² (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. cm (g) Determine the velocity and acceleration of the particle when t = 0.500 s. (Indicate the direction with the sign of your answer.) V = m/s m/s²

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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.