2. A 2.10 kg frictionless block is attached to a horizontal spring as shown. Spring constant k = 206.12 N/m. At t = 0, the spring is compressed, and the position is - 0.226 m, and the velocity is -4.20 m/s toward the left in the negative x direction. Position x as a function of t is: x = A*cos (ot + 0), where A is the amplitude of motion and oo is the angular frequency e is called the phase constant that will also be addressed below. (a) compute amplitude A. Use conservation of energy to (b) How much farther from the point shown will the block move before it momentarily comes to rest before turning around? What is the period T of the motion? If the mass of this problem was tripled (c) (d) to 6.30 kg, how would your answer to part (c) change? (e) Use your trigonometry background to find phase constant . t = 0 k -4.20 m/s -0.226 m x = 0

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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.