Horizontal force on hinge is affected by moving the block farther away?

In summary, moving a block farther away from a hinge increases the horizontal force exerted on the hinge. This is due to the longer lever arm created by the distance, which amplifies the torque generated by any applied force, resulting in greater horizontal force at the hinge.
  • #1
hello478
165
14
Homework Statement
The block is now moved closer to end A of the beam. Assume that the beam remains
horizontal.
State whether this change will increase, decrease or have no effect on the horizontal
component of the force exerted on the beam by the hinge.
Relevant Equations
theory questions, i think it uses vectors
1711468139020.png



my attempt: no effect


1711471248171.png
 

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  • #2
I can't see your attempt.
 
  • #3
PeroK said:
I can't see your attempt.
done!
 
  • #4
Presumably you have already found the horizontal component of the force exerted by the beam on the hinge in a previous part that you do not show. Redo this using symbols with ##x## being the distance of the mass from the hinge. Examine the symbolic expression. What happens to the horizontal component when ##x## is reduced?
 
  • #5
kuruman said:
Presumably you have already found the horizontal component of the force exerted by the beam on the hinge in a previous part that you do not show. Redo this using symbols with ##x## being the distance of the mass from the hinge. Examine the symbolic expression. What happens to the horizontal component when ##x## is reduced?
in the previous part, there are calculations for vertical components not horizontal
but how would the horizontal force be found? i dont know how
like the 17 cos 50 would be the horizontal tension of the rope... what about hinge, i have no idea about it...
 
  • #6
kuruman said:
Draw a free body diagram and d
yes i did it...
 
  • #7
hello478 said:
yes i did it...
Please post your FBD and embed in the post. Use “Attach files”, lower left. We need to see what you have done.
 
  • Like
Likes hello478
  • #8
kuruman said:
Please post your FBD and embed in the post. Use “Attach files”, lower left. We need to see what you have done.
done
took time as i had to draw it digitally again...
 
  • #9
Please label all the forces in the diagram so that we can refer to them. Also post the equations that you get from saying that the net force on the beam is zero and the net torque on the beam is zero.

Do all that on your next post instead of editing the old one.
 
  • Like
Likes hello478
  • #10
kuruman said:
Please label all the forces in the diagram so that we can refer to them. Also post the equations that you get from saying that the net force on the beam is zero and the net torque on the beam is zero.

Do all that on your next post instead of editing the old one.
making a new post on this now...
 
  • #11
There is a subtle difference between a post and a thread :wink:

##\ ##
 
  • #12
BvU said:
There is a subtle difference between a post and a thread :wink:

##\ ##
yeah, sorry
i didnt know...
and i confused physics forums with instagram lol
 
Last edited:

FAQ: Horizontal force on hinge is affected by moving the block farther away?

How does moving a block farther away from a hinge affect the horizontal force on the hinge?

Moving a block farther away from a hinge generally increases the horizontal force on the hinge due to the increased torque created by the block's weight acting at a greater distance. Torque is the product of the force and the perpendicular distance from the pivot point (hinge), so a greater distance results in a larger torque that must be balanced by a greater horizontal force at the hinge.

What is the relationship between distance and horizontal force on the hinge?

The relationship between the distance of the block from the hinge and the horizontal force on the hinge is directly proportional. As the distance increases, the horizontal force required to maintain equilibrium also increases. This is because the torque (moment of force) increases with distance, necessitating a greater horizontal force to counteract this torque.

Does the weight of the block affect how the horizontal force on the hinge changes with distance?

Yes, the weight of the block significantly affects how the horizontal force on the hinge changes with distance. A heavier block will produce a greater torque for the same distance compared to a lighter block, resulting in a larger horizontal force on the hinge as the block is moved farther away.

Can the horizontal force on the hinge be minimized by adjusting the position of the block?

Yes, the horizontal force on the hinge can be minimized by positioning the block closer to the hinge. By reducing the distance, the torque generated by the block's weight is decreased, which in turn reduces the horizontal force required at the hinge to maintain equilibrium.

What role does the angle of the applied force play in affecting the horizontal force on the hinge?

The angle of the applied force plays a crucial role in determining the horizontal force on the hinge. If the force is applied horizontally, it directly contributes to the horizontal force on the hinge. If the force is applied at an angle, only the horizontal component of that force will affect the hinge. The vertical component will influence the vertical force on the hinge but not the horizontal force.

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