Question

Figure Q16.3 is a history graph showing the displacement as a function of time at one point on a string. Did the displacement at this point reach its maximum of 2 mm before or after the interval of time when the displacement was a constant 1 mm?

Short answer

The displacement reaches its maximum of 2 mm before the interval of time when the displacement was a constant 1 mm.

Step-by-step solution

Step 1. Write the given information.

The graph shows the displacement of the string with respect to the time.

Step 2. To analyze the graph.

• At time t = 0.02 sec, the string starts displacing from its mean position.
  The displacement of the string is maximum with the value of 2mm at the time t = 0.04 sec.
• At time t = 0.06 sec, the displacement of the string is 1 mm and it remains constant till the time t = 0.08 sec.

The displacement reaches its maximum of 2 mm before the interval of time when the displacement was a constant 1 mm.