Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers to two decimal places.) (2, 3), (9, 10), (8, 11)  ° (smallest value)  °  ° (largest value)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1-Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers to two decimal places.)

(2, 3), (9, 10), (8, 11)
 ° (smallest value)
 °

 ° (largest value)

2- Determine the work done in moving a particle from P to Q when the magnitude and direction of the force are given by v.

P(0, 0),   Q(1, 2),   v = (2, 3)
 
3- Determine the work done by a crane lifting a 1800-pound car 4 feet.
 foot-pounds
 
4-Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers to two decimal places.)
(2, 3), (9, 10), (8, 11)
 ° (smallest value)
 °
 ° (largest value)

4- The cranes shown in the figure are lifting an object that weighs 20,230 pounds. Find the tension in the cable of each crane. (Round your answers to the nearest whole number.)

TL =  lbs
TR

=  lbs

5-Use the figure to determine the tension in each cable supporting the load. (Round your answers to one decimal point.)

W = 4800 lb
tension in AC       lb
tension in BC       lb

 

 

6-Find the angle ? between the forces given the magnitude of their resultant. (Hint: Write force 1 as a vector in the direction of the positive x-axis and force 2 as a vector at an angle ? with the positive x-axis. Round your answer to one decimal place.)

Force 1     Force 2     Resultant Force    
50 pounds     65 pounds     85 pounds    

 

 

7- 

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