Calculate String Tension with Simple Physics Math Help - No Quotation Marks

[klm]

What is the tension in the string?

okay i have figured this much out,

Tsin(16.69) = m (v^2)/ r
T cos 16.69 -mg =0

i don't know how to solve for T though. i know it should be simple math, but i can't figure it out!


i have tried this

r(tsin 16.69) / v^2 = m
and Tcos16.69 / g = m

and then make them equal,

Tcos16.69 / g = r(Tsin16.69)/V^2

but now i am lost

 

[Doc Al]

What is the tension in the string?

okay i have figured this much out,

Tsin(16.69) = m (v^2)/ r
T cos 16.69 -mg =0

What are the knowns and unknowns?

 

[cristo]

What values out of those you have written down do you know? At the moment you have two equations in four unknowns, so you will not be able to solve them!

 

[klm]

oh sorry! i know that r=.3 and m =.2

but i just realized that if i know those, i can just plug them into the 2nd equation and find T...i think

 

[Doc Al]

Tsin(16.69) = m (v^2)/ r
T cos 16.69 -mg =0

What I would do is immediately combine these equations to eliminate T and solve for v. Then you can plug in that answer for T.

(If you write the second equation as T cos 16.69 = mg, it might be easier to see how to combine them.)

 

[klm]

^ooh i understand what you are saying. thank you!