Question: In a simple harmonic motion, if the mass is increased, what happens to the period?
Options:
Increases
Decreases
Remains the same
Depends on the spring constant
Correct Answer: Increases
Solution:
The period T is given by T = 2Οβ(m/k). If m increases, T increases.
In a simple harmonic motion, if the mass is increased, what happens to the perio
Practice Questions
Q1
In a simple harmonic motion, if the mass is increased, what happens to the period?
Increases
Decreases
Remains the same
Depends on the spring constant
Questions & Step-by-Step Solutions
In a simple harmonic motion, if the mass is increased, what happens to the period?
Step 1: Understand what simple harmonic motion is. It is a type of motion where an object moves back and forth around a central point.
Step 2: Know the formula for the period (T) of simple harmonic motion, which is T = 2Οβ(m/k). Here, m is the mass and k is the spring constant.
Step 3: Identify what happens when the mass (m) increases. According to the formula, if m increases, the value inside the square root (β(m/k)) also increases.
Step 4: Realize that if the value inside the square root increases, the overall value of T (the period) also increases.
Step 5: Conclude that when the mass is increased in simple harmonic motion, the period T becomes longer.
Simple Harmonic Motion β The study of oscillatory motion where the restoring force is proportional to the displacement.
Period of Oscillation β The time taken for one complete cycle of motion, which depends on mass and spring constant.
Mass and Period Relationship β An increase in mass leads to an increase in the period of oscillation in simple harmonic motion.
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