In a simple harmonic motion, what is the relationship between the period and the
Practice Questions
Q1
In a simple harmonic motion, what is the relationship between the period and the mass of the oscillating object?
Directly proportional
Inversely proportional
Independent
Exponential
Questions & Step-by-Step Solutions
In a simple harmonic motion, what is the relationship between the period and the mass of the oscillating object?
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 two common systems that exhibit SHM: a mass on a spring and a pendulum.
Step 3: For a mass on a spring, the period (time for one complete cycle) depends on the spring constant (how stiff the spring is) but not on the mass of the object attached to the spring.
Step 4: For a pendulum, the period also does not depend on the mass of the pendulum bob; it mainly depends on the length of the pendulum and the acceleration due to gravity.
Step 5: Conclude that in both cases (spring and pendulum), the period of oscillation is independent of the mass of the oscillating object.
