How Much Load Can a 300-kg Beam Support Before Exceeding Strut Safety Limits?

AI Thread Summary
The discussion focuses on calculating the maximum load a 300-kg beam can support without exceeding a strut's safety limit of 23,000 N. Participants emphasize the importance of analyzing forces in both the X and Y axes, as well as calculating torque. There is confusion regarding the angle of the beam and the correct application of torque equations. Clarification is requested regarding the positions of points P, Q, R, and S on the beam. The conversation highlights the need for a visual representation to better understand the problem setup.
CoogsDownFall
Messages
2
Reaction score
0

Homework Statement


A uniform 300-kg, 6.0 M long, freely pivoted at P, as shown in the figure. The beam is supported in a horizontal position by a light strut, 5.0 M long, which is freely pivoted at Q and is loosely pinned to the beam at R. A load of mass is suspended from the end of the beam at S. A maximum compression of 23,000 N in the strut is permitted, due to safety. The Maximum mass M of the load is closest to Pic

Homework Equations


##∑Fx=0##
##∑Fy=0##
##∑Ftorque=0##
##Torque = r * F##
##F = m * a##

The Attempt at a Solution


I started with first trying to find the forces of both the X and Y axis and then the force of the torque and setting this equal to 23,000 N. What is really messing me up is the beam that is at an angle. So for the forces acting on Y I set Fy = m * (9.8). I know there are forces acting on the X-axis, I am just struggling to be able to find them. Then for the Torque value I have Torque = m * (9.8) * (3.0). I figured because the large beam was cut in half that is the new radius. Any help would be great!
 
Physics news on Phys.org
I see no figure. Please supply a figure or more detailed description. E.g. where are P, Q, R and S in relation to the beam and to each other?
 
There is a link to it if you click the word "pic"
 
CoogsDownFall said:
There is a link to it if you click the word "pic"
OK - doesn't stand out that well on my screen.
Yes, torque is the way to go, but which point are you taking torque about? What forces have a torque about that point? For each of those, what is the distance from its line of action to the point?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top