Problem #4 A light stretchless string is wrapped around a wheel of mass M=3.00 kg, radius R= 0.400 m, and a moment of inertia I= (7/10) M · R². The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity v (speed) of the center of cylinder after having descended a distance H= 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (lvd). Neglect any energy dissipation initial final M M V b) What is the wheel's linear acceleration a? c) What is the tension T on the rope? d) What is the magnitude of the wheel's final angular speed wf after having descended the distance H from the release? e) What's the wheel's total change in angle 40 (in radians) through its complete descent of the distance H? f) What is the magnitude of the wheel's angular acceleration a?

Problem #4 A light stretchless string is wrapped around a wheel of mass M=3.00 kg, radius R= 0.400 m, and a moment of inertia I= (7/10) M · R². The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity v (speed) of the center of cylinder after having descended a distance H= 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (lvd). Neglect any energy dissipation initial final M M V b) What is the wheel's linear acceleration a? c) What is the tension T on the rope? d) What is the magnitude of the wheel's final angular speed wf after having descended the distance H from the release? e) What's the wheel's total change in angle 40 (in radians) through its complete descent of the distance H? f) What is the magnitude of the wheel's angular acceleration a?