Newton’s second law for rotational motion Equation...

Newton’s second law for rotational motion Equation

Like a yo-yo Sam wraps a string around the outside of a 0.040-m-radius 0.20-kg solid cylinder and uses it like a yoyo (Figure P8.38). When released, the cylinder accelerates downward at (2/3) g. (a) Draw a force diagram for the cylinder and apply the translational form of Newton’s second law to the cylinder in order to determine the force that the string exerts on the cylinder. (b) Determine the rotational inertia of the solid cylinder. (c) Apply the rotational form of Newton’s second law and determine the cylinder’s rotational acceleration. (d) Is your answer to part (c) consistent with the application of a = ra, which relates the cylinder’s linear acceleration and its rotational acceleration? Explain.