3 Cat Burglar 45° T3 T2 Tz T. A cat burglar is planning a daring heist. He will lower himself from a beam as shown in the figure on the left. The burglar weighs 150lbs. He plans to use a long rope that can withstand a tension of 100 Ibs to suspend himself from a shorter rope, reasoning that each segment of the longer rope will only need to support half his weight. (The short rope segment is Kevlar and can easily support the burglar's full weight.) (a) Despite your moral outrage, you decide to set the burglar straight. Compute the tensions T1, T2, and T3 and explain why the plan will not work. (b) As a strictly intellectual exercise, you design an alternative arrangement of ropes that will support the burglar's weight using the same long rope from part (a). In the configuration on the right, what is the maximum angle e that will result in a tension of less than 100 lbs in each segment of rope?

3 Cat Burglar 45° T3 T2 Tz T. A cat burglar is planning a daring heist. He will lower himself from a beam as shown in the figure on the left. The burglar weighs 150lbs. He plans to use a long rope that can withstand a tension of 100 Ibs to suspend himself from a shorter rope, reasoning that each segment of the longer rope will only need to support half his weight. (The short rope segment is Kevlar and can easily support the burglar's full weight.) (a) Despite your moral outrage, you decide to set the burglar straight. Compute the tensions T1, T2, and T3 and explain why the plan will not work. (b) As a strictly intellectual exercise, you design an alternative arrangement of ropes that will support the burglar's weight using the same long rope from part (a). In the configuration on the right, what is the maximum angle e that will result in a tension of less than 100 lbs in each segment of 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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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

3 Cat Burglar
45°
T2
Tz
T.
A cat burglar is planning a daring heist. He will lower himself from a beam as shown in the figure on the left. The
burglar weighs 150Ibs. He plans to use a long rope that can withstand a tension of 100 lbs to suspend himself from a
shorter rope, reasoning that each segment of the longer rope will only need to support half his weight. (The short rope
segment is Kevlar and can easily support the burglar's full weight.)
(a) Despite your moral outrage, you decide to set the burglar straight. Compute the tensions T1, T2, and T3 and explain
why the plan will not work.
(b) As a strictly intellectual exercise, you design an alternative arrangement of ropes that will support the burglar's
weight using the same long rope from part (a). In the configuration on the right, what is the maximum angle e
that will result in a tension of less than 100 Ibs in each segment of rope?
You may ignore the mass of the rope in parts (a) and (b).

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