EBK ENGINEERING MECHANICS
EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Chapter 3, Problem 4RP
To determine

The vertical forces F and F required to pull point A away from point B.

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For the walking-beam mechanism shown in Figure 3, find and plot the x and y coordinates of the position of the coupler point P for one complete revolution of the crank O2A. Use the coordinate system shown in Figure 3. Hint: Calculate them first with respect to the ground link 0204 and then transform them into the global XY coordinate system. y -1.75 Ꮎ Ꮎ 4 = 2.33 0242.22 L4 x AP = 3.06 L2 = 1.0 W2 31° B 03 L3 = 2.06 P 1 8 5 .06 6 7 P'
The link lengths, gear ratio (2), phase angle (Ø), and the value of 02 for some geared five bar linkages are defined in Table 2. The linkage configuration and terminology are shown in Figure 2. For the rows assigned, find all possible solutions for angles 03 and 04 by the vector loop method. Show your work in details: vector loop, vector equations, solution procedure. Table 2 Row Link 1 Link 2 Link 3 Link 4 Link 5 λ Φ Ө a 6 1 7 9 4 2 30° 60° P y 4 YA B b R4 R3 YA A Gear ratio: a 02 d 05 r5 R5 R2 Phase angle: = 0₂-202 R1 05 02 r2 Figure 2. 04 X
Problem 4 A .025 lb bullet C is fired at end B of the 15-lb slender bar AB. The bar is initially at rest, and the initial velocity of the bullet is 1500 ft/s as shown. Assuming that the bullet becomes embedded in the bar, find (a) the angular velocity @2 of the bar immediately after impact, and (b) the percentage loss of kinetic energy as a result of the impact. (c) After the impact, does the bar swing up 90° and reach the horizontal? If it does, what is its angular velocity at this point? Answers: (a). @2=1.6 rad/s; (b). 99.6% loss = (c). Ah2 0.212 ft. The bar does not reach horizontal. y X 4 ft 15 lb V₁ 1500 ft/s 0.025 lb C 30°7 B A

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EBK ENGINEERING MECHANICS

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