Horizontal Force on a Gate Hinge?

AI Thread Summary
The discussion focuses on calculating the horizontal force exerted by the top hinge on a door in equilibrium. The door's weight and hinge configuration are established, with a mass of 10.5 kg and hinges spaced 0.7 m apart. The vertical forces are balanced, but the participants express confusion about deriving the horizontal forces. Emphasis is placed on considering the torque at the bottom hinge to understand the horizontal component. The conversation highlights the need for a thorough analysis of forces and torques to solve the problem effectively.
SQUIDDO
Messages
4
Reaction score
0
A door is attached to a frame by two hinges and is at equilibrium. All forces and torques are therefore balanced.

The door has a mass of 10.5kg, a width of 1.1m, and the two hinges are 0.7m apart.
Find the direction and magnitude of the horizontal force applied to the door by the top hinge?

I think I've got the vertical component of the forces sorted. The downward gravitational force on the door must be equal to the upward force provided by the hinges, with each hinge presumably supplying equal force. As for the horizontal forces, I'm at a loss.

I'd appreciate a detailed response so I can answer variations on this question in the future. Thanks for your time!
 
Physics news on Phys.org
Think about where the centre of mass of the door is, and think why they wrote "All forces and torques are therefore balanced."
 
I'm afraid I've already factored the center of mass into an extended free-body diagram and am still left scratching my head.
6AM4N8U.png


I'm just not sure how to derive horizontal component forces from the system.
I understand that upwards force must equal downwards force:

m.g = V1 + V2 where V is the upwards force supplied by each hinge.

But when it comes to the horizontal aspect, I'm at a loss...
 
Think about the torque on the bottom hinge.
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Correct vector diagram of forces
Replies
3
Views
1K
Equilibrium Problem - Balancing Torques
Replies
4
Views
3K
Torque and forces (Beginner level)
Replies
14
Views
3K
What is the force exerted by each hinge on the door?
Replies
3
Views
12K
Calculating Magnitude of Forces on a Door
Replies
2
Views
2K
Static Equilibrium Door question: Calculate Horizontal Forces
Replies
31
Views
10K
Horizontal Forces exerted by door hinges
Replies
2
Views
21K
Torque- rigid objects in equalibrium/ center of gravity.
Replies
3
Views
5K
What makes a door move, the torque or the force or both?
2
Replies
52
Views
6K
2 questions, both about balancing force/torque
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top