A weight suspended from a spring is seen to bob up and down over a distance of 11 cm twice each second.
To analyze the given scenario, we can make use of the concepts of simple harmonic motion (SHM). Simple harmonic motion is a type of periodic motion in which an object oscillates back and forth about a stable equilibrium position. In this case, the weight suspended from a spring exhibits simple harmonic motion.
Here's how we can determine certain properties of the system:
1. Amplitude (A): The amplitude is the maximum displacement from the equilibrium position. In this case, the weight oscillates over a distance of 11 cm, so the amplitude (A) is 11 cm.
2. Frequency (f): The frequency is the number of complete oscillations (or cycles) per unit time. In this case, the weight completes two oscillations per second. Therefore, the frequency (f) is 2 Hz (cycles per second).
3. Period (T): The period is the time taken to complete one full oscillation. It is the reciprocal of the frequency (T = 1/f). In this case, the period (T) is 1/2 seconds or 0.5 seconds.
4. Angular frequency (ω): The angular frequency is related to the period and frequency through the equation ω = 2πf = 2π/T. In this case, the angular frequency (ω) is 2π radians/second.
By knowing these properties, we can analyze and understand the motion of the weight suspended from the spring.