TAILIEUCHUNG - shi20396 chương 1

Consider force F at G, reactions at B and D. Extend lines of action for fully-developed friction DE and BE to find the point of concurrency at E for impending motion to the left. The critical angle is θcr. Resolve force F into components Facc and Fcr. Facc is related to mass and acceleration. Pin accelerates to left for any angle 0 θcr, no magnitude of F will move the pin | Chapter 1 Problems 1-1 through 1-4 are for student research. 1-5 Consider force F at G reactions at B and D. Extend lines of action for fully-developed friction DE and BE to find the point of concurrency at E for impending motion to the left. The critical angle is 6cr. Resolve force F into components Facc and Fcr. Facc is related to mass and acceleration. Pin accelerates to left for any angle 0 6 6cr. When 6 6cr no magnitude of F will move the pin. Consider force F at G reactions at A and C. Extend lines of action for fully-developed friction AE and CE to find the point of concurrency at E for impending motion to the left. The critical angle is 6 a. Resolve force F into components F acc and Fc r. F acc is related to mass and acceleration. Pin accelerates to right for any angle 0 6 Q . When 6 6 cr no magnitude of F will move the pin. The intent of the question is to get the student to draw and understand the free body in order to recognize what it teaches. The graphic approach accomplishes this quickly. It is important to point out that this understanding enables a mathematical model to be constructed and that there are two of them. This is the simplest problem in mechanical engineering. Using it is a good way to begin a course. What is the role of pin diameter d Yes changing the sense of F changes the response. 2 Solutions Manual Instructor s Solution Manual to Accompany Mechanical Engineering Design 1-6 Fy - F - fN cos 3 N sin 3 0 Fx fN sin 3 N cos 3 - T 0 x F N sin3 f cos3 Ans. T Nr f sin 3 cos 3 Combining 1 f tan 3 T Fr---------- KFr Ans. tan 3 - f 1 2 b If T x detent self-locking tan 3 f 0 A 3cr tan 1 f Ans. Friction is fully developed. Check If F 10 Ibf f 3 45 r 2in 10 cos 45 sin 45 T - sin 45 cos45 15lbf r fN Ibf 3cr tan-1 f tan-1 3 90 1-7 a F Fo k 0 Fo T1 F0r Ans. b When teeth are about to clear F F0 kx2 From Prob. 1-6 T2 Fr f tan 3 1 tan 3 f N F0 kx2 f tan3 1 . 12 r------------------------ Ans.

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