Explanation Given: Length of fishing rod is 6 ft . Magnitude of force in line is 6 lb . Concept used: Write the expression to represent the force in line in vector form. F → = | F | ( cos 8 ° sin 30 ° i ^ − sin 8 ° j ^ − cos 8 ° cos 30 ° k ^ ) Simplify the above expression. F → = | F | ( 0.495 i ^ − 0.139 j ^ − 0.8576 k ^ ) ......(1) Here, F → is the force in line in vector form and | F | is the magnitude of force in line. Write the expression for the position vector for point B with respect to A. d → A B = l ( sin 45 ° j ^ − cos 45 ° k ^ ) ......(2) Here, d → A B is the position vector for point B with respect to A and l is the length of fishing rod. Write the expression for moment about point A. M A = d → A B × F → ......(3) Here, M A is the moment about point A. Calculation: Substitute 6 lb for | F | in equation (1) F → = ( 6 ) ( 0.495 i ^ − 0.139 j ^ − 0.8576 k ^ ) = ( 2.97 i ^ − 0.834 j ^ − 5.146 k ^ ) lb Substitute 6 ft for l in equation (2) d → A B = 6 ( sin 45 ° j ^ − cos 45 ° k ^ ) = ( 4.243 j ^ − 4

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 3.1, Problem 15P

To determine

Moment about point A due to force at point B.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.1, Problem 14P

Chapter 3.1, Problem 16P

Students have asked these similar questions

my ID# is 016948724 please solve this problem step by step

MY ID#016948724 please solve the problem step by spet

1 8 4 For the table with 4×4 rows and columns as shown Add numbers so that the sum of any row or column equals .30 Use only these numbers: .1.2.3.4.5.6.10.11.12.12.13.14.14

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 point A due to force at point B.

Solution Summary: The author describes the moment about point A due to force at point B. The expression represents the force in line in vector form.

Videos

Moment about point A due to force at point B.

Want to see the full answer?

Chapter 3 Solutions