Correct vector diagram of forces

Click For Summary
The discussion centers on understanding the correct vector diagram of forces acting on a hinge in static equilibrium. The force on the hinge has both horizontal and vertical components, with the horizontal component directed to the right to balance tension. The vertical component can be either upward or downward, but clarification is sought on why it should be downward in this scenario. The importance of considering resultant torque at different pivot points is emphasized for accurate analysis. The conversation also touches on the implications of replacing the hinge with a slider, which would require an external downward force to maintain equilibrium.
songoku
Messages
2,508
Reaction score
402
Homework Statement
Please see below
Relevant Equations
Equilibrium
1662253423830.png
The answer is (B) but I don't understand why (C) is wrong. The force acting on the hinge has two components, horizontal and vertical. The horizontal component must be to the right to balance the horizontal component of tension but the vertical component can be either upwards or downwards. Wow to know the correct direction is downwards?

Thanks
 
Physics news on Phys.org
Hint: What are the conditions for static equilibrium of such an object?
 
robphy said:
Hint: What are the conditions for static equilibrium of such an object?
I get the hint. I need to consider resultant torque at different pivot.

Thank you very much for the help robphy
 
If you replace that hinge with a slider, which is free to move up and down that wall, an external down force would be needed to counteract the moment that W induces about the point of connection of the cable to the trapdoor.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Force pulling on a string at an angle with a block at the other end
  • · Replies 2 ·
Replies
2
Views
1K
Vector problem, magnitude of the force
  • · Replies 30 ·
2
Replies
30
Views
2K
Tension in a deformed cylindrical bag on a surface
  • · Replies 18 ·
Replies
18
Views
2K
Calculating Forces in a Leg: Gait Analysis and Joint Reaction Force
  • · Replies 7 ·
Replies
7
Views
2K
Find the tension in the two strings
  • · Replies 7 ·
Replies
7
Views
2K
Minimum force to tip the bin over
  • · Replies 7 ·
Replies
7
Views
1K
Tension of string acting on stone moving in horizontal circular motion
  • · Replies 19 ·
Replies
19
Views
3K
Speed of train car when sand spilling out from it
  • · Replies 17 ·
Replies
17
Views
4K
Dynamics of Circular Motion
  • · Replies 12 ·
Replies
12
Views
959
Finding Radial Force from Free Body Diagram
  • · Replies 4 ·
Replies
4
Views
2K