How Do You Calculate the Upward Force Needed to Keep a Board Level?

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Homework Help Overview

The problem involves a uniform board of length 90 cm that is pivoted at one end and requires an upward force to keep it level. The weight of the board is given as 6N, and participants are discussing how to calculate the necessary force using principles of statics and moments.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss taking moments about the hinge and equating forces to find the upward force T. There is mention of drawing a free body diagram and considering the distribution of weight along the board. Some participants seek further elaboration on the problem-solving process.

Discussion Status

The discussion is ongoing, with some participants providing hints about torque and the center of mass. There is a request for clarification on the steps involved, and guidance is offered regarding the expected format for responses, emphasizing the need for participants to share their attempted solutions.

Contextual Notes

Participants are reminded of the forum's guidelines regarding the sharing of attempted solutions before seeking direct help. The problem context includes assumptions about the uniform distribution of weight and the need for torque balance.

gomathireddy
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A uniform board of length 90 cm is pivoted at a hinge at one end. It is kept level by an upward vertical force T applied at the opposite end. The weight of the board is 6N.
Take moments about the hinge to find T, when the board is level.
The hinge exerts an upward force, F on the board. Equate parallel forces to determine F when the board is level.

All inputs in understanding this question and the steps to solve it will be great help. Thank you.
 
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It's a board which weighs 6N. It is supported by a hinge at one end and an upward force at the other. Assume the weight of the board is evenly distributed over its length. Draw a free body diagram and solve for T.

This is a simple statics problem.
 
@ SteamKing - Thank you for your response. Can you please elaborate and work it out for me?
 
gomathireddy said:
Can you please elaborate and work it out for me?
That's not how things work here. You post your attempted solution and I'm sure you'll get plenty of advice and corrections.

Please see: How to Ask for Help
 
Hi, assuming i understand this correctly , here are some hints:

Torque = f x d

The weight acts at the Centre of Mass

Make sure the torque balance.

Cheers,
oneplusone
 

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