Question: In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
Options:
At the mean position
At the extreme position
At half the amplitude
At the equilibrium position
Correct Answer: At the mean position
Exam Year: 2019
Solution:
Maximum velocity occurs at the mean position where the displacement is zero.
In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
Practice Questions
Q1
In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
At the mean position
At the extreme position
At half the amplitude
At the equilibrium position
Questions & Step-by-Step Solutions
In a simple harmonic motion, the maximum velocity occurs at which point? (2019)
Step 1: Understand what simple harmonic motion (SHM) is. It is a type of periodic motion where an object moves back and forth around a central point.
Step 2: Identify the key points in SHM: the mean position (center), maximum displacement (amplitude), and the points in between.
Step 3: Recognize that the mean position is where the object is at rest and the displacement from the center is zero.
Step 4: Know that as the object moves towards the mean position from either side, it speeds up.
Step 5: Conclude that the maximum velocity occurs at the mean position because this is where the object is moving fastest.
Simple Harmonic Motion – A type of periodic motion where an object oscillates around an equilibrium position, characterized by a restoring force proportional to the displacement.
Maximum Velocity – The highest speed of an object in simple harmonic motion, occurring at the mean position where displacement is zero.
Mean Position – The central point in simple harmonic motion where the object experiences no net force and thus moves with maximum speed.
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