**Title: Physics of a Tire Swing: Calculating Maximum Tension****Introduction:**A family decides to construct a tire swing in their backyard for their son, Ryan. They attach a nylon rope to a branch located 16 meters above the Earth and adjust the setup so that the tire swings 1 meter above the ground.**Diagram Description:**- The diagram illustrates a tree with a branch 16 meters high from which a tire swing is suspended.- The tire hangs 1 meter above the ground.- An axis marked as y and x shows the vertical and horizontal directions, respectively.- A launch platform is shown 13 meters above the ground beside the tree.**Problem Statement:**To add excitement to the swing and to reduce manual effort, the family constructs a launch point at 13 meters above the ground. As a concerned neighbor, you want to ensure the swing’s safety by calculating the maximum tension (\( T_{\text{max}} \)) in the rope, assuming Ryan starts from rest at the launch pad. The question is whether this tension exceeds the rope’s rated value (800 N), considering only Ryan's and the tire’s mass.**Data Provided:**- Ryan's mass, \( m_R = 30 \) kg- Tire mass, \( m_T = 5 \) kg**Assumptions:**- The mass of the rope is negligible.- Ryan starts from rest at the launch point.**Conclusion:**Analyze if the calculated maximum tension is greater than 800 N to determine the safety of the swing setup. **Reflection Questions**What is the maximum mass (in kg) that a rider can have and swing safely with this rope?[Input box] kg [Incorrect answer icon]

Answered: Image /qna-images/answer/7aed29ed-4356-48db-8f08-edd69f42a5b5.jpg

A family decides to create a tire swing in their backyard for their son Ryan. They tie a nylon rope to a branch that is located 16 m above the Earth, and adjust it so that the tire swings 1 m above the ground. y 16 m m Ryan's mass: MR = 30 kg Mass of tire: m₁ = 5 kg ho = 13 m To make the swing more exciting, and so they don't have to push Ryan all the time, they construct a launch point that is 13 m above the ground. You are their neighbor, and you are concerned that the swing might not be safe, so you calculate the maximum tension (Tmax) in the rope to see if it will hold, assuming that Ryan starts from rest from his launch pad. Is it greater than the rated value of the rope (800 N)? (Neglect the mass of the rope.)

A family decides to create a tire swing in their backyard for their son Ryan. They tie a nylon rope to a branch that is located 16 m above the Earth, and adjust it so that the tire swings 1 m above the ground. y 16 m m Ryan's mass: MR = 30 kg Mass of tire: m₁ = 5 kg ho = 13 m To make the swing more exciting, and so they don't have to push Ryan all the time, they construct a launch point that is 13 m above the ground. You are their neighbor, and you are concerned that the swing might not be safe, so you calculate the maximum tension (Tmax) in the rope to see if it will hold, assuming that Ryan starts from rest from his launch pad. Is it greater than the rated value of the rope (800 N)? (Neglect the mass of the rope.)

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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