a homogeneous prismatic bar is loaded by forces P1,P2,and P3 acting at points B,C, and D, respectively. the dimensions of the bar are as follows : a=1.0m b=0.4m, and c=0.6m . Assuming that P2=15KN and P3=9KN, determine the force P1 so that the lower end D of the bar does not move vertically when the loads are applied.
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The sum of the moments of the three forces must balance if the bar is to remain stationary.

It's not clear from the question what a, b and c are. Since the bar is homogeneous the dimensions of the bar would not be significant. However, the points of application of the forces are important to determine what moments to apply. Assume that the bar operates like a seesaw with a central pivot, and that the bar's length is 1+0.4+0.6=2m. P1 is assumed to be a distance of 1m from the pivot, while P2 is 0.4m on the opposite side of the pivot and P3 0.6m. The moments must balance so P1=15*0.4+9*0.6=6+5.4=11.4, making P1=11.4KN.

 

 

by Top Rated User (1.2m points)

Related questions

1 answer
1 answer
asked Mar 27, 2015 in Word Problem Answers by anonymous | 597 views
1 answer
1 answer
asked Jul 28, 2013 in Algebra 1 Answers by jessm1200 | 584 views
1 answer
asked Jul 5, 2017 in Other Math Topics by McCquabena Bannor Level 4 User (7.5k points) | 733 views
1 answer
asked Aug 16, 2015 in Other Math Topics by McCquabena Bannor Level 4 User (7.5k points) | 557 views
1 answer
asked Apr 2, 2013 in Word Problem Answers by anonymous | 1.4k views
1 answer
asked Jun 18, 2016 in Geometry Answers by McCquabena Bannor Level 4 User (7.5k points) | 678 views
1 answer
asked Apr 13, 2021 in Other Math Topics by azra pls | 459 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,289 answers
2,420 comments
741,406 users