The Energy of Simple Harmonic Motion Pre-Lab Completely READ the entire lab before coming to lab class. You may be given a laboratory quiz based on information contained in this lab. The pre-lab must be submitted to the lab instructor at the beginning of lab. Show your solution(s) on this sheet and submit this page to your instructor at the beginning of laboratory. 1) The speed of a mass m attached to an ideal spring and oscillating in simple harmonic motion measured to be v when the mass is at position x. The mass-spring system's period of oscillation is T. a) What is the spring constant k of the mass-spring system? b) What is the amplitude of motion A of the mass-spring system? 2) Write down x(t), v(t), a(t), and Etor(t) representing this system and sketch each one on the same graph. Be sure to label each graph. Color each curve in a different color (or use lines of different thicknesses, dotted, dashed, etc.) to distinguish each function. y=o- 177 The Energy of Simple Harmonic Motion ☺ a) R=? T= 21 V T. %3D lk 4TT2 m %3D %3D le T2 472 T² b) Vmax= V = 4T2 A= Tz A= VT A= 2. xH)= A cod wt %3D
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.
For the questions shown on the first picture, I tried to find the equations for the spring constant and the amplitude. However, when I try to do #2, I cannot find a graphable set of equations from these values. Am I supposed to find the values another way?
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