What is the phase difference between the displacement and acceleration of a part
Practice Questions
Q1
What is the phase difference between the displacement and acceleration of a particle in simple harmonic motion?
0 degrees
90 degrees
180 degrees
270 degrees
Questions & Step-by-Step Solutions
What is the phase difference between the displacement and acceleration of a particle in simple harmonic motion?
Correct Answer: 180 degrees
Step 1: Understand that simple harmonic motion (SHM) is a type of periodic motion where a particle moves back and forth around a central point, called the mean position.
Step 2: Recognize that the displacement of the particle is the distance from the mean position at any point in time.
Step 3: Know that the acceleration of the particle in SHM is always directed towards the mean position.
Step 4: Realize that when the particle is at its maximum displacement (farthest from the mean position), the acceleration is at its maximum value, directed back towards the mean position.
Step 5: Understand that when the particle is at the mean position, the displacement is zero, and the acceleration is at its maximum value.
Step 6: Conclude that the acceleration reaches its maximum value when the displacement is at its maximum value but in the opposite direction, meaning they are 180 degrees out of phase.
