Explanation Given: Magnitude of force Q is 174 lb . Length of rod CD is 23 in . . Length of rod AB is 50 in . Concept used: Draw the diagram for the force acting on the system as shown below: Write the expression for the position vector for point D with respect to A. d → A D = ( 16 i ^ + 8 j ^ − 12 k ^ ) in Here, d → A D is the position vector for point D with respect to A. Write the expression for the position vector for point B with respect to A. d → A B = ( 32 i ^ − 30 j ^ − 24 k ^ ) in Here, d → A B is the position vector for point B with respect to A. Write the expression for the magnitude of position vector for point B with respect to A. | d A B | = ( 32 ) 2 + ( − 30 ) 2 + ( − 24 ) 2 = 50 in Here, | d A B | is the magnitude of position vector for point B with respect to A. Write the expression for unit vector along line AB. n ^ A B = d → A B | d A B | ……. (1) Here, n ^ A B is the unit vector along line AB. Write the expression for the position vector for point H with respect to D. d → D H = ( − 16 i ^ − 21 j ^ − 12 k ^ ) in Here, d → D H is the position vector for point H with respect to D. Write the expression for the magnitude of position vector for point H with respect to D. | d D H | = ( − 16 ) 2 + ( − 21 ) 2 + ( − 12 ) 2 = 29 in Here, | d D H | is the magnitude of position vector for point H with respect to D. Write the expression for unit vector along line DH. n ^ D H = d → D H | d D H | ……. (2) Here, n ^ D H is the unit vector along line DH. Write the expression for representation of tension in cable DH in vector. Q → = | Q | ⋅ n ^ D H …… (3) Here, Q → is the representation of force Q in vector and | Q | is the magnitude of applied force. Write the expression for moment about rod AB due to force Q. M A B = n ^ A B ⋅ ( d → A D × Q → ) …… (4) Here, M A B is the moment about rod AB due to force Q . Calculation: Substitute ( 32 i ^ − 30 j ^ − 24 k ^ ) in for d → A B and 50 in for | d A B | in equation (1) n ^ A B = ( 32 i ^ − 30 j ^ − 24 k ^ ) 50 = ( 0

2nd Edition

ISBN: 9780073398167

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek

Publisher: McGraw-Hill Education

See similar textbooks

Videos

Question

Chapter 3.2, Problem 48P

To determine

Moment about AB due to force Q.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.2, Problem 47P

Chapter 3.3, Problem 49P

Students have asked these similar questions

Note: Please provide a clear, step-by-step simplified handwritten working out (no explanations!), ensuring it is done without any AI involvement. I require an expert-level answer, and I will assess and rate based on the quality and accuracy of your work and refer to the provided image for more clarity. Make sure to double-check everything for correctness before submitting thanks!. Question1: If the following container is 0.6m high, 1.2m wide and half full with water, determine the pressure acting at points A, B, and C if ax=2.6ms^-2.

Please read the image

Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... Scores

Chapter 3 Solutions

Statics and Mechanics of Materials

Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 300-N force P is applied at point A of the bell...Ch. 3.1 - A 400-N force P is applied at point A of the bell...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...

Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...Ch. 3.1 - Prob. 12P Ch. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Prob. 15P Ch. 3.1 - Prob. 16P Ch. 3.1 - Prob. 17P Ch. 3.1 - A wooden board AB, which is used as a temporary...Ch. 3.1 - Prob. 19P Ch. 3.1 - A small boat hangs from two davits, one of which...Ch. 3.1 - Prob. 21P Ch. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.20, determine the perpendicular...Ch. 3.2 - Given the vectors P=3i-j+2k,Q=4i+5j-3k, and...Ch. 3.2 - Prob. 26P Ch. 3.2 - Knowing that the tension in cable AC is 1260 N,...Ch. 3.2 - Knowing that the tension in cable AD is 405 N,...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - The 20-in. tube AB can slide along a horizontal...Ch. 3.2 - Solve Prob. 3.31 for the position corresponding to...Ch. 3.2 - Prob. 33P Ch. 3.2 - Prob. 34P Ch. 3.2 - Knowing that the tension in cable AB is 570 N,...Ch. 3.2 - Prob. 36P Ch. 3.2 - A farmer uses cables and winch pullers B and E to...Ch. 3.2 - Solve Prob. 3.37 when the tension in cable AB is...Ch. 3.2 - To lift a heavy crate, a man uses a block and...Ch. 3.2 - Prob. 40P Ch. 3.2 - Prob. 41P Ch. 3.2 - Prob. 42P Ch. 3.2 - Prob. 43P Ch. 3.2 - A sign erected on uneven ground is guyed by cables...Ch. 3.2 - The frame ACD is hinged at and D and is supported...Ch. 3.2 - In Prob. 3.45, determine the moment about the...Ch. 3.2 - Prob. 47P Ch. 3.2 - Prob. 48P Ch. 3.3 - Two parallel 60-N forces are applied to a lever as...Ch. 3.3 - A plate in the shape of a parallelogram is acted...Ch. 3.3 - Prob. 51P Ch. 3.3 - Prob. 52P Ch. 3.3 - Four 112-in. -diameter pegs are attached to a...Ch. 3.3 - Prob. 54P Ch. 3.3 - Prob. 55P Ch. 3.3 - Prob. 56P Ch. 3.3 - Replace the two couples shown with a single...Ch. 3.3 - Prob. 58P Ch. 3.3 - Shafts A and B connect the gear box to the wheel...Ch. 3.3 - Prob. 60P Ch. 3.3 - Prob. 61P Ch. 3.3 - The force P has a magnitude of 250 N and is...Ch. 3.3 - Prob. 63P Ch. 3.3 - A 260-lb force is applied at A to the rolled-steel...Ch. 3.3 - Prob. 65P Ch. 3.3 - A force and couple act as shown on a square plate...Ch. 3.3 - Prob. 67P Ch. 3.3 - Prob. 68P Ch. 3.3 - Prob. 69P Ch. 3.3 - Replace the 150-N force by an equivalent...Ch. 3.3 - Prob. 71P Ch. 3.3 - Prob. 72P Ch. 3.4 - A 4-m-long beam is subjected to a variety of...Ch. 3.4 - Prob. 74P Ch. 3.4 - Determine the single equivalent force and the...Ch. 3.4 - The weights of two children sitting at ends A and...Ch. 3.4 - Prob. 77P Ch. 3.4 - Prob. 78P Ch. 3.4 - Four forces act on a 700375 -mm plate as shown....Ch. 3.4 - Prob. 80P Ch. 3.4 - Prob. 81P Ch. 3.4 - A truss supports the loading shown. Determine the...Ch. 3.4 - A machine component is subjected to the forces and...Ch. 3.4 - Solve Prob. 3.83, assuming that P=60N.Ch. 3.4 - Prob. 85P Ch. 3.4 - Prob. 86P Ch. 3.4 - Prob. 87P Ch. 3.4 - Prob. 88P Ch. 3.4 - Prob. 89P Ch. 3.4 - Assuming e 600 in Prob. 3.89, replace the two...Ch. 3.4 - A blade held in a brace is used to tighten a screw...Ch. 3.4 - Prob. 92P Ch. 3.4 - Four signs are mounted on a frame spanning a...Ch. 3.4 - Prob. 94P Ch. 3.4 - Prob. 95P Ch. 3.4 - Three children are standing on a 55-m raft. The...Ch. 3 - For the shift lever shown, determine the magnitude...Ch. 3 - Consider the volleyball net shown. Determine the...Ch. 3 - A crane is oriented so that the end of the 25-m...Ch. 3 - The 25-m crane boom AO lies in the yz plane....Ch. 3 - A single force P acts at C in a direction...Ch. 3 - While tapping a hole, a machinist applies the...Ch. 3 - A 500-N force is applied to a bent plate as shown....Ch. 3 - Prob. 104RP Ch. 3 - Prob. 105RP Ch. 3 - Prob. 106RP Ch. 3 - Prob. 107RP Ch. 3 - A regular tetrahedron has six edges of length a. A...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Moment about AB due to force Q.

Solution Summary: The author analyzes the moment about AB due to force Q. The expression for the position vector for point D with respect to A.

Videos

Moment about AB due to force Q.

Want to see the full answer?

Chapter 3 Solutions