Asmall sphere with mass m is attached to a massless rod of length l that is pivoted at the top, forming a simple pendulum. the pendulum is pulled to one side so that the rod is at an angle θ from the vertical, and released from rest.
part a) draw vectors representing the forces acting on the small sphere and the acceleration of the sphere just after it is released. accuracy counts!
part b) draw the vectors starting at the sphere. the location and orientation of the vectors will be graded. (the figure is a simple pendulum at an angle to the right.)
part c) draw vectors representing the forces acting on the small sphere and the acceleration of the sphere when the pendulum rod is vertical.
draw the vectors starting at the sphere. the location and orientation of the vectors will be graded.
part d) at this point, what is the linear speed of the sphere?
express your answer in terms of g, θ, l.