How Do You Calculate Tension in a Rope Holding a Box on a Ladder?

AI Thread Summary
To calculate the tension in a rope holding a 42 kg box on a ladder, the relevant equation is T = m1g - m1a. The user seeks clarification on the value of acceleration needed for the calculation, as well as the importance of additional dimensions like height (h) and angle (θ) from the diagram. There is some uncertainty about whether all necessary information has been provided. The discussion emphasizes the need for clear dimensions to accurately determine tension. Overall, understanding the relationship between mass, gravity, and acceleration is crucial for solving the problem.
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Homework Statement



1) A box of mass 42kg sits on the top of a ladder. Neglecting the weight of the ladder, find the tension in the rope. Assume the rope exerts horizontal forces on the ladder at each end.

Homework Equations



m1g – T = m1a

The Attempt at a Solution


T = m1g - m1a
This is the formula i know for calculating the tension
I have mass has 42 kg. But what is the value for acceleration here? Also I don't know because i have values for h and θ in the diagram.
 

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I think you are missing a critical dimension, see,

Edit, not so sure now, think everything is fine.
 

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Last edited:
This is more what you want?
 

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Thanks a lot Spinnor. So nice of you in explaining the things so beautifully.
 
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