Work out the tension in the rope

AI Thread Summary
To find the tension in the rope pulling a 78kg sledge up a 22.6-degree slope with a friction coefficient of 0.25 and an acceleration of 0.5 m/s², the forces acting on the sledge must be analyzed. The equation set up includes gravitational force, friction, and tension, with friction calculated at 176.4N. Clarification is provided that the applied force (F) is equivalent to the tension (T) since the rope's pull creates tension. Understanding that the tension in the rope directly corresponds to the force applied is crucial for solving the problem. This foundational concept aids in accurately determining the tension required to overcome friction and gravity while accelerating the sledge.
Gughanath
Messages
118
Reaction score
0
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 coefficent 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:
 
Physics news on Phys.org
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:
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

How to Determine the Work Done by the Rope on a Sledge?
Replies
5
Views
2K
My Mistake? Understanding Friction Force & Work Done on Snowy & Icy Surfaces
Replies
29
Views
2K
Is it friction or tension acting on the person hanging on a rope?
Replies
4
Views
1K
Monkey accelerating up and down a rope
Replies
38
Views
4K
Rope between inclines with maximum length of hanging middle portion
Replies
46
Views
3K
Understanding Tension in a Physics Scenario
Replies
9
Views
2K
Why Does Calculating Tension in Multiple Blocks Require Different Forces?
Replies
2
Views
998
Condition satisified when the body does not slide
Replies
4
Views
1K
Tension of Rope in Middle is 17N
Replies
24
Views
2K
Find tension of a rope and kinetic force
Replies
13
Views
3K

Hot Threads

Recent Insights

Back
Top