I have two equations:
#1)
Tcos(theta)- 6.86=0
#2)
Tsin(theta) = mass X acceleration
I know that my acceleration is velociy squared/ radius (my given radius is 40cm)
I'm supposed to solve for T and angular acceleration. I know I'd be able to do that if I could find what theta is. Can you give my instruction on how to find theta? (just how to find theta, I want to solve the rest of the problem on my own.)
thanks
T=6.86/cosTheta
6.86/cosTheta*sinTheat= ma
tan theta= ma/6.86
solve for theta. Now go back and solve for T
To find theta, you can use the first equation:
Tcos(theta) - 6.86 = 0.
To isolate theta, you will need to rearrange the equation:
Tcos(theta) = 6.86.
Next, divide both sides of the equation by T:
cos(theta) = 6.86 / T.
To find theta, take the inverse cosine (cos^-1) of both sides of the equation:
theta = cos^-1(6.86 / T).
Now, you have a formula to find theta given the values of T and 6.86.