(a) Determine the torque that can be applied to a solid shaft of20-mm diameter without exceeding an allowable shearing stress of80 MPa. (b) Solve part a, assuming that the solid shaft has beenreplaced by a hollow shaft of the same cross-sectional area and withan inner diameter equal to half of its outer diameter.

Controls of Dynamic Systems:ME 4334 (Tues&Thurs 2-3:20 Dr. Zhang) • Homework is Based from the Textbook. Course Website: Blackboard. [Will post homework, old quizzes and test.] Grades: • Homework 10% (Given Tuesday and due the next. Will be given the solutions.) • Quizzes 15% (Can have an equation sheet and will be every Thursday.) • Midterms 50% (3 exams.) • Final Exam 25% >There won't be a curve. Review of Dynamic Models: (Ch 1, Ch 2.2) What is a dynamic system • Steps of Controlling Systems. Feedforward is simpler while feedback is more accurate.