An 85kg person is standing on a 4m long, 7.5 kg platform supported by a rope at either end. What is the force on each rope if the person is standing 1.75 m from one end?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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What's the force on each rope if the person is standing 1.75 m from one end?

**Problem Statement:**

An 85 kg person is standing on a 4 m long, 7.5 kg platform supported by a rope at either end. What is the force on each rope if the person is standing 1.75 m from one end?

**Explanation:**

This problem involves calculating the forces on two ropes supporting a platform with a person standing on it, using principles of static equilibrium. The forces need to be resolved by considering the distances and weights involved. 

- **Weight of the person:** 85 kg
- **Weight of the platform:** 7.5 kg
- **Length of the platform:** 4 m
- **Distance of person from one end:** 1.75 m

The solution involves setting up equations using the sum of torques and the equilibrium condition that the sum of vertical forces equals zero.
Transcribed Image Text:**Problem Statement:** An 85 kg person is standing on a 4 m long, 7.5 kg platform supported by a rope at either end. What is the force on each rope if the person is standing 1.75 m from one end? **Explanation:** This problem involves calculating the forces on two ropes supporting a platform with a person standing on it, using principles of static equilibrium. The forces need to be resolved by considering the distances and weights involved. - **Weight of the person:** 85 kg - **Weight of the platform:** 7.5 kg - **Length of the platform:** 4 m - **Distance of person from one end:** 1.75 m The solution involves setting up equations using the sum of torques and the equilibrium condition that the sum of vertical forces equals zero.
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