# Block on Spring SHM, Finding angular frequency

In summary: So in summary, to find the angular frequency of the oscillations, we can use the formula w=sqrt(k/m), where k is the spring constant and m is the mass.

## Homework Statement

An "ideal" spring with spring constant 0.45 N/m is attached to a block with mass 0.9 kg on one end and a vertical wall on the other. The floor has negligible friction, and you give the block a push and then let go. You observe that the block undergoes simple harmonic motion with a maximum speed of 2.2 m/s.

What is the angular frequency of the oscillations?

## Homework Equations

omega= 2*pi*f
v=2*pi*f*sqrt(A^2-x^2)

## The Attempt at a Solution

[/B]f=v/(2*pi*sqrt(A^2-x^2))
angular frequency= 2*pi*(v/(2*pi*sqrt(A^2-x^2))) I don't think I am doing this right because i don't know A or x

Last edited:
Hi SadDan. Welcome to Physics Forums.

You need to show an attempt at solution before help can be offered. Show us what you've tried.

Have you checked your textbook or class notes for formulas related to simple harmonic motion (SHM) or the mass-spring oscillator? You should find something on the period and frequency of oscillation. Failing that, do a web search; there is an abundance of relevant hits. For example, an excellent site for physics reference is the Hyperphysics site which has an entry for simple harmonic motion.

Thanks for the reference, I found it with the equation w=sqrt(k/m)

## 1. What is a block on spring SHM?

A block on spring SHM refers to the motion of a mass attached to a spring that undergoes simple harmonic motion (SHM). This means that the mass moves back and forth in a periodic manner with a constant amplitude and a sinusoidal displacement.

## 2. How do you calculate the angular frequency of a block on spring SHM?

The angular frequency, denoted by the symbol ω, can be calculated by taking the square root of the spring constant divided by the mass of the block. Mathematically, it can be represented as ω = √(k/m), where k is the spring constant and m is the mass of the block.

## 3. What is the unit of angular frequency?

The unit of angular frequency is radians per second (rad/s). This unit measures the rate at which the block on spring SHM completes one full cycle of motion, which is equivalent to 2π radians.

## 4. How does the amplitude affect the angular frequency of a block on spring SHM?

The amplitude, which is the maximum displacement of the block from its equilibrium position, does not affect the angular frequency. This means that the angular frequency remains constant regardless of the amplitude, as long as other factors such as mass and spring constant remain the same.

## 5. Can the angular frequency of a block on spring SHM be negative?

No, the angular frequency cannot be negative. It is always a positive value since it represents the rate of change of the angular displacement of the block on spring SHM.

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