- #1
freshcoast
- 185
- 1
1. Problem statement.
2. Relative formulas
http://en.m.wikipedia.org/wiki/Torsion_spring
3. Attempt.
Part a)
Since I am given the arc length S and radius, I use the equation s = r(theta) and I solve for theta, with r being the length of the rod and the addition of the radius of the ball.
Now I need to find torque, which is given since I know the radius and the force.
Now applying the equation t = k(theta) , I just solve for k.
Part b)
For this part I need to find the center of mass of the solid sphere (2/5mr^2) and I added distance from the axis of rotation by parallel axis theorem (ML^2)
Now I can find the period by using the equation 2(pi) * sqrt(I/k) since I have I and K.
Part c)
I'm thinking the work done by bending the spring would just be the equation 1/2k(theta^2)
2. Relative formulas
http://en.m.wikipedia.org/wiki/Torsion_spring
3. Attempt.
Part a)
Since I am given the arc length S and radius, I use the equation s = r(theta) and I solve for theta, with r being the length of the rod and the addition of the radius of the ball.
Now I need to find torque, which is given since I know the radius and the force.
Now applying the equation t = k(theta) , I just solve for k.
Part b)
For this part I need to find the center of mass of the solid sphere (2/5mr^2) and I added distance from the axis of rotation by parallel axis theorem (ML^2)
Now I can find the period by using the equation 2(pi) * sqrt(I/k) since I have I and K.
Part c)
I'm thinking the work done by bending the spring would just be the equation 1/2k(theta^2)