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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Chapter 2.4, Problem 63P
To determine
The magnitude of force
The direction of force
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Students have asked these similar questions
Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).
The problems are generally based on the following model:
A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially.
6₁
Assume a mass distribution such that
J =₁₁• B* •b₁ = 450 kg - m²
I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m²
K
J-I
C³ =r₁₁ = r₁₁
The problems are generally based on the following model:
A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially.
6₁
Assume a mass distribution such that
J =₁₁• B* •b₁ = 450 kg - m²
I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m²
K
J-I
C³ =r₁₁ = r₁₁
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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