In a simple harmonic oscillator, if the mass is increased, what happens to the t

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Question: In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)

Options:

Correct Answer: Increases

Exam Year: 2019

Solution:

Time period (T) = 2π√(m/k). If mass (m) increases, T increases.

In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)

In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)

Step 1: Understand what a simple harmonic oscillator is. It is a system that moves back and forth in a regular pattern, like a swinging pendulum or a mass on a spring.
Step 2: Know the formula for the time period (T) of a simple harmonic oscillator: T = 2π√(m/k). Here, m is the mass and k is the spring constant.
Step 3: Identify the relationship between mass (m) and time period (T) in the formula. The time period is directly related to the square root of the mass.
Step 4: If the mass (m) increases, the square root of the mass also increases.
Step 5: Since T is proportional to the square root of m, an increase in mass will result in an increase in the time period (T).
Step 6: Conclude that if the mass is increased, the time period of the simple harmonic oscillator increases.

Simple Harmonic Motion – The relationship between mass, spring constant, and time period in a simple harmonic oscillator.
Time Period Formula – Understanding the formula T = 2π√(m/k) and how changes in mass affect the time period.