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# How does mass affect period of a spring?

## How does mass affect period of a spring?

The period will increase as the mass increases. More mass-with the same spring-will mean a larger period. A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases.

### Does the period of the spring depend on the mass of the spring?

The period of oscillation of a simple pendulum does not depend on the mass of the bob. By contrast, the period of a mass-spring system does depend on mass. For a mass-spring system, the mass still affects the inertia, but it does not cause the force. The spring (and its spring constant) is fully responsible for force.

How do you find the spring constant from T 2 or M graph?

4. Plot T2 versus M, and find the slope of the graph. The spring constant k is given by k = (2π)2/slope, an equation which can be obtained from ω = 2π/T.

How do you find the period of a mass spring?

The period of a mass m on a spring of spring constant k can be calculated as T=2π√mk T = 2 π m k .

## Does spring constant increase with mass?

That is because the spring constant and the length of the spring are inversely proportional. That means that the original mass of (normalsize 30) gm will only yield a stretch of (normalsize 1) mm on the shorter spring. The larger the spring constant, the smaller the extension that a given force creates.

### Does mass Affect period of oscillation?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

Does spring constant change with mass?

As you can see the restoring force constant i.e. the spring constant does not depend on mass and hence the resulting motion Does depend on mass. In this case the restoring force constant i.e mg itself depends on mass and in this case it turns out that the ratio of restoring force constant to mass is a constant.

How do you find the spring constant given mass and distance?

The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring’s length. The negative sign indicates that work is done against the restoring force.

## Does period depend on mass?

### Does the spring constant change with mass?

No, the mass of the spring does not affect the spring constant.

Is spring force dependent on mass?

Equal and opposite to the force of gravity is the spring force exerted upward by the spring on the mass (which is not moving). We know that the spring force is equal and opposite to the gravitational force because the mass would otherwise be accelerated by the net force.

How to calculate the mass of a spring?

Make a graph of the period squared versus mass (T2versus m)Fit your data to a straight line. The absolute value of x interceptof this graph represents the contribution of the spring’s mass to the period. (Note that the constant b in y= m x + b is the y intercept, not the x intercept.)

## How to plot difference between period and mass?

Difference Plot period versus mass(using the data in which the mass was varied) and period versus amplitude(using the data in which the amplitude was varied but mass held fixed). Make sure that the two plots have the same scale on the y axis.

### What happens when a mass is hung from a spring?

When a mass is hung vertically from a spring, the spring stretches. The force on the mass due to the spring is proportional to the amount the spring is stretched. There is a point at which the spring force and the weight are equal in magnitude but opposite in direction. This point is called the equilibrium position.

How is the spring constant of a spring determined?

The spring constant can be determined by measuring the displacement of the spring for a specific mass attached using Hooke’s Law, , where x is the displacement of the spring. If plotting the displacement versus mass does not give a straight line, this indicates the spring is non-linear.