Time period of combination of massive springs in parallel

In summary, the time period of oscillations for two springs of mass m and spring constant k connected in parallel to a mass M is given by the equation T = 2π√(m/Mk). This can be calculated using the equivalent spring constant formula for parallel springs. As for a single spring with mass M, the time period can be calculated using the equation T = 2π√(M/k). This information can be found on Wikipedia's page on series and parallel springs.
  • #1
Vashist Settipalli
Let us say there are two springs each of mass m and each having a spring constant k.
If the two springs are connected in parallel to a mass M and are made to oscillate,
what will be the time period of oscillations??
 
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  • #2
If you had a choice, what would you say yourself ?
And: do you know the time period for a single spring with a mass M (assume an ideal spring) ?
 
  • #3

Related to Time period of combination of massive springs in parallel

1. What is the time period of combination of massive springs in parallel?

The time period of combination of massive springs in parallel can be calculated by using the formula T = 2π√(m/k), where T is the time period, m is the total mass of the springs, and k is the combined spring constant.

2. How do you calculate the combined spring constant of parallel springs?

The combined spring constant of parallel springs is calculated by adding the individual spring constants of each spring. In other words, k(total) = k1 + k2 + k3 + ... + kn, where k(total) is the combined spring constant and k1, k2, k3, etc. are the individual spring constants.

3. Can the time period of combination of massive springs in parallel be less than the time period of a single spring?

Yes, the time period of combination of massive springs in parallel can be less than the time period of a single spring. This is because the combined spring constant is higher than the individual spring constants, resulting in a shorter time period.

4. How does the mass of the springs affect the time period of combination in parallel?

The mass of the springs has a direct impact on the time period of combination in parallel. A higher mass will result in a longer time period, while a lower mass will result in a shorter time period. This is because a higher mass requires more force to move, resulting in a longer time period.

5. Can the time period of combination of massive springs in parallel be affected by external factors?

Yes, the time period of combination of massive springs in parallel can be affected by external factors such as friction, air resistance, and displacement of the springs. These factors can alter the time period by either increasing or decreasing it, depending on their magnitude.

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