A mass of 4.75 kg is attached to the end of a spring that is stretched 16 cm by a force of 14 N. It is set in motion with an initial position 0 = 0 and initia velocity (in m/s) vo = -5. Find the amplitude, period, and frequency of the resulting motion. You should assume that the system is frictionless. Note: Do not use the decimal approximation of . Type the word "pi" instead. Amplitude = meters
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.
Please show all work through differential equations.
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