Mass on a spring Please respond ly

In summary, when a mass is attached to a spring, it oscillates due to the interconversion of elastic potential energy and kinetic energy. This is because the force exerted by the spring on the mass increases as the spring is compressed or extended, and the acceleration is directly proportional to the displacement from equilibrium. The oscillations will continue until the energy is dissipated to the surroundings, such as through damping.
  • #1
saltrock
67
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Mass on a spring!Please respond urgently !

When the mass is attached on one end of the string , it oscillates.with refrence to the tension and weight,explain why it oscillates.
ans: *when the mass it attached then mg> T so it goes down
* when it goes down then T>mg so it goes up and repeats the same process...

please help me write a good answer for this.
 
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  • #2
it won't oscillate until you start it with an input of energy and then it vibrates until energy dissipated to the surroundings, e.g. by damping (due to fluid resistance etc)
Just state that acceleration is directly proportional to displacement and is always towards an equiilbrium point.

Not sure if this helps tho.
 
  • #3
saltrock said:
When the mass is attached on one end of the string , it oscillates.with refrence to the tension and weight,explain why it oscillates.
ans: *when the mass it attached then mg> T so it goes down
* when it goes down then T>mg so it goes up and repeats the same process...

please help me write a good answer for this.

I think what you were getting at here is also good to add. Because [itex]F_{spring}=-kx[/itex], where k is the spring constant and x is the displacement from equilibrium, the force exerted by the spring on the mass increases as the spring is compressed or extended. Also consider that elastic potential energy (due to the spring) and kinetic energy are constantly interconverted during the oscillations, with max kinetic energy (and therefore max velocity) occurring when the mass passes the equilibrium point, because there elastic potential energy is zero.
 

What is the formula for calculating the period of a mass on a spring?

The formula for calculating the period of a mass on a spring is T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant.

How does the amplitude affect the period of a mass on a spring?

The amplitude, or maximum displacement, of a mass on a spring does not affect the period. The period only depends on the mass and the spring constant.

What is the relationship between the spring constant and the stiffness of the spring?

The spring constant, represented by the letter k, is a measure of the stiffness of a spring. The higher the spring constant, the stiffer the spring and the more force it takes to stretch or compress the spring.

How does the mass of the object affect the period of a mass on a spring?

The period of a mass on a spring is directly proportional to the square root of the mass. This means that as the mass increases, the period also increases, and vice versa.

What is the relationship between the frequency and the period of a mass on a spring?

The frequency, represented by the letter f, is the inverse of the period, meaning f = 1/T. In other words, the frequency is the number of oscillations per unit time, while the period is the time it takes for one oscillation to occur.

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