In a simple harmonic motion, if the mass is increased, what happens to the period?
Practice Questions
1 question
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
The period T is given by T = 2π√(m/k). If m increases, T increases.
Questions & Step-by-step Solutions
1 item
Q
Q: In a simple harmonic motion, if the mass is increased, what happens to the period?
Solution: The period T is given by T = 2π√(m/k). If m increases, T increases.
Steps: 5
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 = 2π√(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 (√(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.
