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?
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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
What's the force on each rope if the person is standing 1.75 m from one end?

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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