**Problem Statement:**Consider the last drawing shown above. If the force has a magnitude of 100 N and is applied at an angle of 45° with respect to the door at a distance of 0.5 m from the hinge, then what is the value of the applied torque?**Explanation:**In this problem, we are asked to calculate the torque applied to a door by a force. Torque (τ) is given by the equation:\[ \tau = r \cdot F \cdot \sin(\theta) \]Where:- \(\tau\) is the torque,- \(r\) is the distance from the hinge (0.5 m in this case),- \(F\) is the magnitude of the force (100 N in this case), and- \(\theta\) is the angle between the force and the direction of the lever arm (45° in this case).We can use this formula to find the magnitude of the applied torque by substituting the given values and calculating the sine of 45°. **Calculation:**1. \(\sin(45°) = \frac{\sqrt{2}}{2} \approx 0.707\)2. Substitute the values into the torque equation:\[ \tau = 0.5 \, \mathrm{m} \cdot 100 \, \mathrm{N} \cdot 0.707 \]3. Calculate the result:\[ \tau \approx 35.35 \, \mathrm{N \cdot m} \]Therefore, the value of the applied torque is approximately 35.35 N·m.

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11. Consider the last drawing shown above. If the force has a magnitude of 100 N and is applied at an angle 45° with respect to the door at a distance of 0.5 m from the hinge then what is the value of the applied torque?

11. Consider the last drawing shown above. If the force has a magnitude of 100 N and is applied at an angle 45° with respect to the door at a distance of 0.5 m from the hinge then what is the value of the applied torque?

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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