Question

The displacement x metres of a mass from a fixed point about which it is oscillating is given by x cos(Bt) where t is time in the seconds. You have been asked to plot the graph of two cycles of motion and determine: (i) At what time is displacement from a fixed point is equal to C/2 for the first time after the beginning of observation. (ii) The maximum displacement. (iii) The time to complete one cycle of oscillating.

Answer 1

The displacement of a mass in simple harmonic motion is given by x = X cos(Bt). To answer the specific questions, we need the values of C and B.

Step-by-step explanation:

The displacement of a mass from a fixed point in simple harmonic motion is given by x = X cos(Bt), where X is the amplitude and t is time in seconds. In this case, we are asked to plot two cycles of motion.

To answer the questions:

1. To determine the time at which the displacement from a fixed point is equal to C/2 for the first time after the beginning of observation, we need the value of C and B.
2. The maximum displacement is equal to the amplitude X.
3. The time to complete one cycle of oscillation is given by the period T, which is the time it takes for the motion to repeat. The period is calculated as T = 2π/B.

Without the values of C and B, we cannot provide specific answers. However, with those values, we can use the given formulas to answer the questions more accurately.