Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)
5th Edition
ISBN: 9780134301006
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.7, Problem 71P
To determine
Find the equivalent resultant force, direction of the resultant force, and the couple moment at point O.
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6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, and
b = 0.4 Ns/m.
(a) Assume zero initial condition, calculate the
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(ii)
System characterization, and
(iii) The time domain response
(b) Calculate the steady-state value of the system
b
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2. Solve the following linear time invariant differential equations using Laplace transforms subject to
different initial conditions
(a) y-y=t
for y(0) = 1 and y(0) = 1
(b) ÿ+4y+ 4y = u(t)
for y(0) = 0 and y(0) = 1
(c) y-y-2y=0
for y(0) = 1 and y(0) = 0
3. For the mechanical systems shown below, the springs are undeflected when x₁ = x2 = x3 = 0 and
the input is given as fa(t). Draw the free-body diagrams and write the modeling equations governing
each of the systems.
K₁
000
K₂
000
M₁
M2
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B₂
B₁
(a)
fa(t)
M2
K₂
000
B
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x1
000
M₁
(b)
Chapter 3 Solutions
Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)
Ch. 3.4 - In each case, determine the moment of the force...Ch. 3.4 - In each case, set up the determinant to find the...Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the resultant moment produced by the...Ch. 3.4 - Determine the resultant moment produced by the...
Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Determine the moment of force F about point O....Ch. 3.4 - If F1 = {100i 120j + 75k} lb and F2 = {200i +...Ch. 3.4 - Prob. 1PCh. 3.4 - Prove the triple scalar product identity A(B C) =...Ch. 3.4 - Given the three nonzero vectors A, B, and C, show...Ch. 3.4 - Determine the moment about point A of each of the...Ch. 3.4 - Determine the moment about point B of each of the...Ch. 3.4 - Prob. 6PCh. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Prob. 9PCh. 3.4 - If FB= 30 lb and FC = 45 lb, determine the...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - Prob. 13PCh. 3.4 - The 20-N horizontal force acts on the handle of...Ch. 3.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 3.4 - If the man at B exerts a force of P = 30 lb on the...Ch. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - The handle of the hammer is subjected to the force...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - The tower crane is used to hoist the 2-Mg load...Ch. 3.4 - The tower crane is used to hoist a 2-Mg load...Ch. 3.4 - Prob. 25PCh. 3.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 3.4 - Prob. 27PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 3.4 - Prob. 30PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - Prob. 32PCh. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - A force of F = {6i 2j + lk) kN produces a moment...Ch. 3.4 - The force F = {6i + 8j + l0k} N creates a moment...Ch. 3.5 - In each case, determine the resultant moment of...Ch. 3.5 - In each case, set up the determinant needed to...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the 200-N...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 17FPCh. 3.5 - Determine the moment of force F about the x, the...Ch. 3.5 - The lug nut on the wheel of the automobile is to...Ch. 3.5 - Prob. 40PCh. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 42PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the moment of force F about an axis...Ch. 3.5 - Prob. 45PCh. 3.5 - The board is used to hold the end of the cross lug...Ch. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 48PCh. 3.5 - Prob. 49PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 51PCh. 3.5 - Prob. 52PCh. 3.5 - Determine the moment of the force about the aa...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Prob. 21FPCh. 3.6 - Prob. 22FPCh. 3.6 - Prob. 23FPCh. 3.6 - Prob. 24FPCh. 3.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 3.6 - A twist of 4 N m is applied to the handle of the...Ch. 3.6 - If the resultant couple of the three couples...Ch. 3.6 - If F = 125 1b, determine the resultant couple...Ch. 3.6 - Determine the magnitude of F so that the resultant...Ch. 3.6 - Determine the magnitude and coordinate direction...Ch. 3.6 - Prob. 60PCh. 3.6 - Prob. 61PCh. 3.6 - Prob. 62PCh. 3.6 - Prob. 63PCh. 3.6 - Express the moment of the couple acting on the...Ch. 3.6 - If the couple moment acting on the pipe has a...Ch. 3.6 - Prob. 66PCh. 3.6 - Prob. 67PCh. 3.6 - Express the moment of the couple acting on the rod...Ch. 3.6 - Prob. 69PCh. 3.6 - Prob. 70PCh. 3.7 - In each case, determine the x and y components of...Ch. 3.7 - Prob. 25FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 27FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 29FPCh. 3.7 - Prob. 30FPCh. 3.7 - Prob. 71PCh. 3.7 - Prob. 72PCh. 3.7 - Prob. 73PCh. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Prob. 76PCh. 3.7 - Replace the loading acting on the post by an...Ch. 3.7 - Replace the loading acting on the post by a...Ch. 3.7 - Prob. 79PCh. 3.7 - Prob. 80PCh. 3.7 - Prob. 81PCh. 3.7 - Prob. 82PCh. 3.7 - Prob. 83PCh. 3.7 - Replace the force of F = 80 N acting on the pipe...Ch. 3.7 - Prob. 85PCh. 3.7 - The belt passing over the pulley is subjected to...Ch. 3.8 - In each case, determine the x and y components of...Ch. 3.8 - Prob. 7PPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Prob. 32FPCh. 3.8 - Prob. 33FPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Replace the loading by an equivalent single...Ch. 3.8 - Prob. 36FPCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Prob. 94PCh. 3.8 - Replace the loading on the frame by a single...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the parallel force system acting on the...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 3.8 - Determine the magnitudes of FA and FB so that the...Ch. 3.8 - Prob. 103PCh. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - If FA = 40 kN and FB = 35 kN, determine the...Ch. 3.8 - If the resultant force is required to act at the...Ch. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 38FPCh. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 40FPCh. 3.9 - Prob. 41FPCh. 3.9 - Prob. 42FPCh. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Replace the distributed loading with an equivalent...Ch. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Currently eighty-five percent of all neck injuries...Ch. 3.9 - Prob. 112PCh. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Prob. 115PCh. 3.9 - Determine the equivalent resultant force and...Ch. 3.9 - Determine the magnitude of the equivalent...Ch. 3 - The boom has a length of 30 ft, a weight of 800...Ch. 3 - Replace the force F having a magnitude of F = 50...Ch. 3 - The hood of the automobile is supported by the...Ch. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - The building slab is subjected to four parallel...Ch. 3 - Replace the distributed loading by an equivalent...
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