Harmonic oscillator

4.1 Simple harmonic motion 1a. [4 marks] This question is about simple harmonic motion (SHM). The graph shows the variation with time of the acceleration of an object X undergoing simple harmonic motion (SHM). Determine the maximum displacement of X. Give your answer to an appropriate number of significant figures. Markscheme use of ; or or ; } (allow answers in the range of T = 7.8 to 8.0 (s) or = 0.785 to 0.805 (rad s)) ; (allow answers in the range of 4.0 to 4.25 (m)) two significant figures in final answer whatever the value; Award [4] for a bald correct answer. Examiners report Similarly, this was well done. Most appreciated the need to truncate the final answer to a sensible number of significant digits (two in this case). 1b. [2 marks]

Chapter 10 Simple Harmonic Motion and Elasticity 10.1 The Ideal Spring and Simple Harmonic Motion spring constant Units: N/m 10.1 The Ideal Spring and Simple Harmonic Motion Example 1 A Tire Pressure Gauge The spring constant of the spring is 320 N/m and the bar indicator extends 2.0 cm. What force does the air in the tire apply to the spring? 10.1 The Ideal Spring and Simple Harmonic Motion 10.1 The Ideal Spring and Simple Harmonic Motion Conceptual Example 2 Are Shorter Springs Stiffer? A 10-coil spring has a spring constant k. If the spring is cut in half, so there are two 5-coil springs, what is the spring constant of each of the smaller springs? 10.1 The Ideal Spring and Simple Harmonic Motion HOOKE?S LAW: RESTORING FORCE OF AN IDEAL SPRING