Tension Force between two rotating masses on strings

In summary, the conversation discusses finding the tensions T1 and T2 in two strings connecting two balls with different masses and lengths, rotating at a constant angular frequency. The relevant equations are F=ma, A=V^2/r, and ω=rad*r. The tension in one string can be found using these equations, and then the tension in the other string can be found the same way. The third equation, ω=rad*r, is not clear.
  • #1
NarcolepticPig
1
0

Homework Statement



Two balls with masses m1=0.3 kg and m2=0.7 kg are connected by massless strings with lengths L1=0.2 m and L2=0.26 m, as shown. The arrangement of strings and masses rotates at constant angular frequency ω=57.6 radians/s around a fixed pivot point. Find the two tensions, T1 and T2. There is no gravity in this problem.

Homework Equations



So, here are equations I believe are relevant.

F=ma
A=V^2/r
ω=rad*r

So, I'm struggling trying to find the different tensions between the two strings. I think that the radius will change depending on which ball you are looking at and therefore the tensions will be different.

Any tips?
 
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  • #2
Hi NarcolepticPig and welcome to PF.:welcome:

Can you find the tension in one string? If so, then you can find the tension in the other string the same way. Use the equations that you have posted. I am not sure what the third equation ω = rad*r means.
 

1. What is tension force between two rotating masses on strings?

The tension force between two rotating masses on strings is the force that is exerted on each string as a result of the masses pulling on the string. It is the force that keeps the strings taut and prevents the masses from moving away from each other.

2. How is the tension force between two rotating masses on strings calculated?

The tension force between two rotating masses on strings can be calculated using the formula T = (m1 x v1^2)/r1 = (m2 x v2^2)/r2, where T is the tension force, m1 and m2 are the masses, v1 and v2 are the velocities, and r1 and r2 are the radii of rotation.

3. Does the tension force between two rotating masses on strings change with the masses or the radii?

Yes, the tension force between two rotating masses on strings is directly proportional to the masses and inversely proportional to the radii. This means that as the masses increase, the tension force also increases, and as the radii increase, the tension force decreases.

4. What factors can affect the tension force between two rotating masses on strings?

The tension force between two rotating masses on strings can be affected by various factors, such as the masses, the velocities, the radii, and the angle of rotation. Additionally, external forces, such as friction and air resistance, can also affect the tension force.

5. How does the tension force between two rotating masses on strings affect the motion of the masses?

The tension force between two rotating masses on strings plays a crucial role in the motion of the masses. It is responsible for keeping the masses in circular motion and determining the speed of the masses. If the tension force is too weak, the masses will move in a larger radius, while if the tension force is too strong, the masses will move in a smaller radius.

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