Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2.4, Problem 79P
For the boom and loading of Prob. 2.78, determine the magnitude of the load P.
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6/86 The connecting rod AB of a certain internal-combustion engine weighs 1.2 lb with mass center at G
and has a radius of gyration about G of 1.12 in. The piston and piston pin A together weigh 1.80 lb. The
engine is running at a constant speed of 3000 rev/min, so that the angular velocity of the crank is
3000(2)/60 = 100л rad/sec. Neglect the weights of the components and the force exerted by the gas in
the cylinder compared with the dynamic forces generated and calculate the magnitude of the force on the
piston pin A for the crank angle 0 = 90°. (Suggestion: Use the alternative moment relation, Eq. 6/3, with B
as the moment center.)
Answer
A = 347 lb
3"
1.3"
B
1.7"
PROBLEM 6/86
6/85 In a study of head injury against the instrument panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is
analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is
treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial
position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a
sudden stop with a constant deceleration a, determine the speed v relative to the car with which the
model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko
= 550 mm, 0 = 45°, and a = 10g and compute v.
Answer
v = 11.73 m/s
PROBLEM 6/85
Chapter 2 Solutions
Statics and Mechanics of Materials
Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - 2.1 and 2.2 Determine graphically the magnitude...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - Two structural members B and C are bolted to...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - The 300-lb force is to be resolved into components...Ch. 2.1 - A trolley that moves along a horizontal beam is...Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - Two forces are applied as shown to a hook support....Ch. 2.1 - A disabled automobile is pulled by means of two...
Ch. 2.1 - A trolley that moves along a horizontal beam is...Ch. 2.1 - For the hook support shown, determine by...Ch. 2.1 - The cable stays AB and AD help support pole AC....Ch. 2.1 - Solve Prob. 2.4 by trigonometry.Ch. 2.1 - For the hook support of Prob. 2.9, determine by...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.16 and 2.17 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.10 Determine the x and y components of...Ch. 2.2 - 2.18 and 2.19 Determine the x and y components of...Ch. 2.2 - Member BD exerts on member ABC a force P directed...Ch. 2.2 - Member BC exerts on member AC a force P directed...Ch. 2.2 - Cable AC exerts on beam AB a force P directed...Ch. 2.2 - The hydraulic cylinder BD exerts on member ABC a...Ch. 2.2 - Prob. 24PCh. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - For the collar loaded as shown, determine (a) the...Ch. 2.2 - Prob. 29PCh. 2.2 - A hoist trolley is subjected to the three forces...Ch. 2.2 - For the post loaded as shown, determine (a) the...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - 2.33 and 2.34 Two cables are tied together at C...Ch. 2.3 - Prob. 34PCh. 2.3 - Prob. 35PCh. 2.3 - Prob. 36PCh. 2.3 - Two forces of magnitude TA=8 kips and TB=15 kips...Ch. 2.3 - Prob. 38PCh. 2.3 - Prob. 39PCh. 2.3 - Two forces P and Q are applied as shown to an...Ch. 2.3 - Prob. 41PCh. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - For the cables of Prob. 2.32, find the value of a...Ch. 2.3 - Prob. 44PCh. 2.3 - Prob. 45PCh. 2.3 - Prob. 46PCh. 2.3 - Two cables tied together at C are loaded as shown....Ch. 2.3 - Collar A is connected as shown to a 50-1b load and...Ch. 2.3 - Cogar A is connected as shown to a 50-lb load and...Ch. 2.3 - A movable bin and its contents have a combined...Ch. 2.3 - A 600 lb crate is supported by several...Ch. 2.3 - Prob. 52PCh. 2.3 - A 200-kg crate is to be supported by the...Ch. 2.3 - Prob. 54PCh. 2.3 - Prob. 55PCh. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - The end of the coaxial cable AE is attached to the...Ch. 2.4 - A gun is aimed at a point A located 35 east of...Ch. 2.4 - Prob. 61PCh. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Prob. 63PCh. 2.4 - Prob. 64PCh. 2.4 - Prob. 65PCh. 2.4 - Prob. 66PCh. 2.4 - Prob. 67PCh. 2.4 - Prob. 68PCh. 2.4 - Prob. 69PCh. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - Prob. 72PCh. 2.4 - Prob. 73PCh. 2.4 - Knowing that the tension is 425 lb in cable AB and...Ch. 2.4 - Knowing that the tension is 510 lb in cable AB and...Ch. 2.4 - A frame ABC is supported in part by cable DBE that...Ch. 2.4 - For the plate of Prob. 2.68, determine the...Ch. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - For the boom and loading of Prob. 2.78, determine...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A 1600-lb crate is supported by three cables as...Ch. 2.5 - Three wires are connected at point D, which is...Ch. 2.5 - Prob. 87PCh. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - Prob. 90PCh. 2.5 - Solve Prob. 2.90, assuming that a fiend is helping...Ch. 2.5 - Prob. 92PCh. 2.5 - Prob. 93PCh. 2.5 - Prob. 94PCh. 2.5 - Prob. 95PCh. 2.5 - Prob. 96PCh. 2.5 - Prob. 97PCh. 2.5 - Prob. 98PCh. 2.5 - Prob. 99PCh. 2.5 - Prob. 100PCh. 2.5 - Prob. 101PCh. 2.5 - Prob. 102PCh. 2.5 - Solve Prob. 2.102 assuming that y=275mm.Ch. 2 - Two structural members A and B are bolted to a...Ch. 2 - Determine the x and y components of each of the...Ch. 2 - The hydraulic cylinder BC exerts on member AB a...Ch. 2 - Prob. 107RPCh. 2 - Knowing that a=20, determine the tension (a) in...Ch. 2 - Prob. 109RPCh. 2 - Prob. 110RPCh. 2 - Prob. 111RPCh. 2 - Prob. 112RPCh. 2 - Prob. 113RPCh. 2 - A transmission tower is held by three guy wires...Ch. 2 - Prob. 115RP
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