Derive a formula for the maximum speed v of a simple pendulum bob in terms of g, the length L, and the maximum angle of swing theta.
I don't know how to go about this, I thought to use T = 2pi*sqr(L/g) and since F=MA, I divide A by time and . . . but I know this is completely wrong so again, help please.
1 answer
No. Figure the height of the pendulum given the angle (a bit of geometry is required). Now, the Potential energy at that height is mgh. Set that equal to KE at the bottom, 1/2 mv^2, and solve for v.