Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

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. c) Draw the displacement, the velocity and the acceleration diagrams for one complete revolution of the cam.

The image below depicts one section of a cam shaft which opens a valve to release the pressure in the combustion chamber. In order to synchronize the position of the piston and the release of the valve, there is a sensor that measures the position of the camshaft. The sensor can determine when point a is 0.672 in. to the right of the center of the camshaft and 0.672 in. above the center of the camshaft. In a four stroke engine the crank shaft, which is connected to the pistons, turns twice for every turn of the camshaft. At cruising speed the crank shaft turns at 3,000 rotations per minute (rpm) which means that the camshaft turns at 1,500 rpm or 25 revolutions per second (rps). After 0.825 seconds, where would point a be in relation to the center of the camshaft?* Answer options are: (-0.589,0),(0.116, -0.316), (0,-0.95),(0.86,-0.315),(0.431,0), none of these are correct. Please be sure to show your steps.

Chapter 11 Solutions

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - Prob. 11.2P Ch. 11.1 - Prob. 11.3P Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - Prob. 11.5P Ch. 11.1 - Prob. 11.6P Ch. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by the...

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