Work out the tension in the rope

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Homework Help Overview

The discussion revolves around a physics problem involving tension in a rope used to pull a sledge up a slope. The scenario includes parameters such as the mass of the sledge, the angle of the slope, the coefficient of friction, and the acceleration of the sledge.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to establish an equation based on the forces acting on the sledge but expresses difficulty in proceeding. Some participants question the relationship between the tension and the applied force, seeking clarification on why they are considered the same in this context.

Discussion Status

The discussion is active, with participants exploring the definitions and relationships of forces involved. Some guidance has been offered regarding the relationship between tension and the pulling force, but there is no explicit consensus yet.

Contextual Notes

The problem includes specific values for mass, angle, friction, and acceleration, which may influence the discussion but are not fully resolved. The original poster is preparing for an exam and is working with past paper questions.

Gughanath
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Im revising for an exam and I am practising past paper questions. I came across this question I am stuck. Please help.
A sledge of mass 78kg is pulled up a slope by a rope. The slope is rough and is inclined at an angle of 22.6 degrees to the horizontal. The coefficient of friction between the sledge and the slope is 0.25. The sledge is accelerating up the slope at 0.5ms^-2.

!I am asked to work out the tension in the rope!
I built an equation using all the forces that act on the particle, that is:
F-T-Fr-78gsin22.6=39N
F= force applied by rope
T= Tension
Fr= Friction

I worked out the friction to be 176.4N. I can't continue now, please help. :confused:
 
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You don't need the F there, it's the same as the tension (and so the T should be +ve).
 
Can you explain this. Why is the tension same as the force?
 
The rope is pulling the sledge, the pulling force is making the rope taut!
 
Last edited:

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