A mass m is attached to a spring of spring constant k. If the mass is displaced

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Question: A mass m is attached to a spring of spring constant k. If the mass is displaced from its equilibrium position and released, what is the time period of the oscillation?

Options:

2π√(m/k)
2π√(k/m)
π√(m/k)
π√(k/m)

Correct Answer: 2π√(m/k)

Solution:

The time period T of a mass-spring system in simple harmonic motion is given by T = 2π√(m/k).

A mass m is attached to a spring of spring constant k. If the mass is displaced

Practice Questions

A mass m is attached to a spring of spring constant k. If the mass is displaced from its equilibrium position and released, what is the time period of the oscillation?

2π√(m/k)
2π√(k/m)
π√(m/k)
π√(k/m)

Questions & Step-by-Step Solutions

A mass m is attached to a spring of spring constant k. If the mass is displaced from its equilibrium position and released, what is the time period of the oscillation?

Step 1: Understand that a mass-spring system can oscillate when the mass is displaced from its resting position.
Step 2: Identify the mass (m) attached to the spring and the spring constant (k) which measures how stiff the spring is.
Step 3: Recognize that the time period (T) is the time it takes for the mass to complete one full cycle of motion.
Step 4: Learn the formula for the time period of a mass-spring system, which is T = 2π√(m/k).
Step 5: In the formula, '2π' is a constant, 'm' is the mass, and 'k' is the spring constant.
Step 6: To find the time period, plug in the values of m and k into the formula and calculate.

Simple Harmonic Motion – The behavior of a mass-spring system where the mass oscillates around an equilibrium position.
Time Period of Oscillation – The duration of one complete cycle of oscillation, which depends on the mass and spring constant.

A mass m is attached to a spring of spring constant k. If the mass is displaced

What’s inside this PDF?

A mass m is attached to a spring of spring constant k. If the mass is displaced

Practice Questions

Questions & Step-by-Step Solutions

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