Required force to hold or pull inclined object downwards.

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Homework Help Overview

The discussion revolves around calculating the minimum force required to either hold or pull an inclined object (K1) downwards to another position (K2) at an angle of 50 degrees. The object has a mass of 3.5 tons and specific dimensions, with mounting points involved in the setup.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants inquire about the center of mass of K1 and the application point of the pulling force. There are discussions about the effects of gravity and wind loading on the object. Some participants question whether the scenario is a real-world problem or an academic exercise, and they differentiate between the forces needed to hold the object steady versus those required to pull it into position.

Discussion Status

The discussion is ongoing, with participants providing guidance on considerations such as the center of mass and torque. There is a recognition of the need for further clarification on the nature of the problem and the specific forces involved. Multiple interpretations of the problem are being explored, particularly regarding the distinction between holding and pulling forces.

Contextual Notes

Participants note the importance of understanding the real-world implications of the problem, including potential wind effects and the need for professional engineering input before any construction. There is also a mention of the specific shape of the object, which may affect the calculations.

AK93
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Can somebody help me to solve this problem and guide? I need to calculate minimum force (F) (Newtons or kilograms) is required to pull down object (K1) to (K2), or to hold it in position. Angle between (K1) and (K2) = 50 degrees. Using mounting points (P1) and (P2). (K1) mass = 3.5 ton, (A) Length = 9 meters, (B) Height = 3.5 meters. Mounting points (P1) and (P3 is on a hinge) distance from center = 75centimeters, (C) = 1.3 meters in total. Height from point (P1) to (P2) is 1.7 meters.
 

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Welcome to PF.

First, you will need to identify the position of the centre of mass of k1.

But gravity will not be your biggest problem. The wind will be more important. You must model k1 for wind loading at different elevation angles and wind directions. Is this structure in a region subjected to hurricane force winds?
 
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Welcome!
What have you calculated so far?
Could you show us your work?

Where will the pulling force be applied?
At what point will the round upper surface hit the flat lower surface?
 
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Lnewqban said:
Welcome!
What have you calculated so far?
Could you show us your work?

Where will the pulling force be applied?
At what point will the round upper surface hit the flat lower surface?
Thanks for the nice greeting,
I haven't done any calculations. Thats why Iam asking for a guide and help, how should I calculate the forces. P1 and P2 must meet, so K1 will be looking upwards. Biggest question, how much force is needed to hold it in position or pill it downwards so K1 wouldn't flip to the left side. I can find the center of the K1, what else should be done to calculate this?
 
Once K1 is looking upwards, the centre of mass will be above K2, between the hinge and point P2. K1 will then be resting on K2, with P1 pressed against P2. Force will not be needed to hold K1 down.

The mass of K1, and the position of the centre of mass of K1 are needed.

The line from the hinge pin, P3, to the centre of mass forms a radial arm. When that arm points directly upwards, no torque will be needed to balance K1. Either side of that balance point, an angle and mass dependent force will be required.

We can explain to you what is important, but you must employ a qualified mechanical engineer before you actually build anything.
 
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First, please clarify if this is a real world problem, as @Baluncore seems to assume, or an academic exercise.

Second, is the lens-shaped object a spherical cap or a segment of a cylinder?
AK93 said:
minimum force (F) (Newtons or kilograms) is required to pull down object (K1) to (K2), or to hold it in position.
Those are not the same thing. The force required to hold it in the position shown may well be less than is required at some point in rotating the lens-shaped object into that position from a more horizontal one. (Note that it cannot be completely horizontal.)
Indeed, if the diagram is drawn accurately I would say the force needed to hold it steady will be one that stops it tipping further.

Which is sought?
 
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