The figure below shows a massless string wound around a spool of radius r. The mass falls with a constant acceleration, a. What is the equation for y in terms of θ and r? What is the equation for v in terms of ω and r? What is the equation for a in terms of α and r? Start from the expression for uniform acceleration in the y-direction for the falling mass and clearly show any steps or substitutions you make.

The figure below shows a massless string wound around a spool of radius r. The mass falls with a constant acceleration, a. What is the equation for y in terms of θ and r? What is the equation for v in terms of ω and r? What is the equation for a in terms of α and r? Start from the expression for uniform acceleration in the y-direction for the falling mass and clearly show any steps or substitutions you make.