Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Textbook Question

Chapter 11.1, Problem 11.32P

An eccentric circular cam, which serves a similar function as the Scotch yoke mechanism in Problem 11.13, is used in conjunction with a flat face follower to control motion in pumps and in steam engine valves. Knowing that the eccentricity is denoted by e, the maximum range of the displacement of the follower is d_max, and the maximum velocity of the follower is v_max, determine the displacement, velocity, and acceleration of the follower.

Fig. P11.32

Chapter 11.1, Problem 11.32P, An eccentric circular cam, which serves a similar function as the Scotch yoke mechanism in Problem

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Chapter 11.1, Problem 11.31P

Chapter 11.2, Problem 11.33P

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A cam, with a minimum radius of 30 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 60 mm during 150° rotation of the cam;To keep the valve fully raised through next 30° (Dwell);To lower the valve during next 90°; and To keep the valve closed during rest of the revolution i.e. 90° (Dwell); The diameter of the roller is 20 mm and the diameter of the cam shaft is 30 mm. Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam when the cam shaft rotates at 180 r.p.m. Draw the cam profile when the line of the stroke is offset 20 mm from the axis of the cam shaft. The displacement of the valve, while being raised is to take place with simple harmonic motion and lowered with uniform acceleration.

A cam, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 50 mm during 120° rotation of the cam To keep the valve fully raised through next 30° To lower the valve during next 120°; and To keep the valve closed during rest of the revolution i.e. 90° ; The diameter of the roller is 20 mm and the diameter of the cam shaft is 25 mm. The displacement of the valve, while being raised and lowered, is to take place with simple harmonic motion. b) Determine the maximum acceleration of the valve rod when the cam shaft rotates at 100 r.p.m.

A cam, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a roller follower, at the end of a valve rod, motion described below : To raise the valve through 50 mm during 120° rotation of the cam To keep the valve fully raised through next 30° To lower the valve during next 120°; and To keep the valve closed during rest of the revolution i.e. 90° ; The diameter of the roller is 20 mm and the diameter of the cam shaft is 25 mm. The displacement of the valve, while being raised and lowered, is to take place with simple harmonic motion. c) Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam.

Chapter 11 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

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