Finding period of balls attached with spring

In summary, the period of balls attached with spring can be found using the formula T = 2π√(m/k), which is derived from Hooke's Law. This is important in understanding oscillating systems and can be used to predict motion and determine factors such as frequency and amplitude. The mass of the ball affects the period, with a heavier mass resulting in slower oscillations. The spring constant also affects the period, with a higher constant leading to faster oscillations. Real-world applications of this concept include suspension systems in cars and pendulum clocks.
  • #1
atim
2
0
Homework Statement
If there are 2 balls attached with a spring, how to calculate period?
Relevant Equations
T=2pi*root(L/g) , T=2pi*root(m/k)
Which formula do I have to use? and why?
 
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  • #2
atim said:
Problem Statement: If there are 2 balls attached with a spring, how to calculate period?
Relevant Equations: T=2pi*root(L/g) , T=2pi*root(m/k)

Which formula do I have to use? and why?
It is of no help to know a formula if you do not also know the context in which it applies.
Can you specify the contexts for your relevant equations? If the two balls on a spring system does not fit those, can you see how some part of the system does? Hint: symmetry.
 

1. What is the equation for finding the period of balls attached with spring?

The equation for finding the period of balls attached with spring is T = 2π√(m/k), where T is the period, m is the mass of the ball, and k is the spring constant.

2. How does the mass of the ball affect the period?

The mass of the ball affects the period by increasing it. As the mass increases, the period also increases since it takes more time for the heavier ball to complete one oscillation.

3. What is the significance of the spring constant in determining the period?

The spring constant plays a crucial role in determining the period of balls attached with spring. It is a measure of the stiffness of the spring and determines how much force is needed to stretch or compress the spring. A higher spring constant results in a shorter period since the spring is stiffer and the ball will oscillate faster.

4. Is there a difference in period between different types of springs?

Yes, the type of spring used can affect the period of balls attached with spring. Different types of springs, such as a linear spring or a torsion spring, have different spring constants and therefore can result in different periods for the same mass of the ball.

5. Can the amplitude of oscillation affect the period of balls attached with spring?

Yes, the amplitude of oscillation can affect the period of balls attached with spring. According to the law of conservation of energy, the amplitude of oscillation is directly proportional to the period. This means that as the amplitude increases, the period also increases.

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