Solving Tension in 2 Wires Attached to 360 g Sphere

[mofazfaz]

Homework Statement

Two wires are tied to the 360 g sphere shown in Figure CP7.61. The sphere revolves in a hori*zontal circle at a constant speed of 6.5 m/s. What is the tension in each of the wires?

Homework Equations

I can't figure how to find the tension. With so little given i dnt even knw where to start

The Attempt at a Solution

 

[Dick]

At least you've got Figure CP7.61. We don't even have that.

 

[mofazfaz]

 

[Dick]

There are three forces acting on the sphere. mg (gravity) pointing down and two different tensions pointing along the wires. Break the tensions into x and y components. The sum of their vertical components should cancel mg and the sum of the horizontal components should equal mass times the rotational acceleration of the sphere.

 

[tarheelfan286]

I just figured this out minutes ago. The trick is to sum your x forces and set them equal to mv^2/r. solve that for T2. Then sum up your y forces and set them equal to 0. plug in the expression you found when you solved for T2 into the T2 of the new expression. Everything will then be in terms of T1 and you can then solve for it. Then take that answer and plug it back in for the expression where you solved for T2. You now have the tension in both of your wires.

Hope this is somewhat helpful

 

[mofazfaz]

thanks man i think i got this one down