Each side of a stepladder is 8m long and there is a hinge at the top. An 87kg man is 6m up one side and there is a 2.5m long rope connecting the two sides. The rope is exactly halfway up the ladder. Assume that the floor is frictionless and neglect the weight of the ladder. Find the tension in the rope, the forces exerted at the points A and B and the forces at the hinge C. It will be easiest if you separate the ladder into two halves and continue from there.(adsbygoogle = window.adsbygoogle || []).push({});

The answers in the answer key are 210N, 533N, 320N, 320N, 210N

I split the ladder into two.

On the left between A and C, I know that there is a tension on the rope pulling right. There is a gravitational force on the person pushing down, and there is a normal force pushing up on A.

On the right, I have Tension pulling right and that's it. The ladder is massless.

I don't know what to do though. I suspect that some of the stuff I relate looking at the free body diagram might have been wrong. I don't know what to do to solve for these forces.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Find forces in ladder

**Physics Forums | Science Articles, Homework Help, Discussion**