### Understanding Torque and its CalculationIn the following exercise, we will learn how to find the net (or total) torque about a point due to multiple forces acting on a lever. #### Problem Statement:Find the net (or total) torque about point \( O \) for the two forces as depicted in the figure. Let \( F_1 = 7.80 \) N and \( F_2 = 15.0 \) N. Express your answer in Newton-meters.#### Description of the Diagram:- The diagram shows a horizontal lever (or rod) balanced on a pivot point, labeled as point \( O \).- Two forces, \( F_1 \) and \( F_2 \), are acting on the lever.- Force \( F_1 \) is acting downwards at a point 3.00 meters to the right of \( O \).- Force \( F_2 \) is acting at an angle of 30.0° upwards to the left at a point 2.00 meters from \( O \).#### Calculations for Torque:Torque (\( \tau \)) is calculated using the formula:\[ \tau = r \cdot F \cdot \sin(\theta) \]Where:- \( r \) is the distance from the pivot point to the point where the force is applied.- \( F \) is the magnitude of the force applied.- \( \theta \) is the angle between the force and the lever arm.#### Step-by-Step Calculation:1. **Torque due to \( F_1 \):** \[ \tau_1 = r_1 \cdot F_1 \cdot \sin(90^\circ) \] Since \( \sin(90^\circ) = 1 \) and \( r_1 = 3.00 \) m, \[ \tau_1 = 3.00 \, \text{m} \cdot 7.80 \, \text{N} \cdot 1 = 23.4 \, \text{Nm} \] (Positive direction, assuming counterclockwise)2. **Torque due to \( F_2 \):** \[ \tau_2 = r_2 \cdot F_2 \cdot \sin(30^\circ) \] Since

The free-body diagram of the system is shown below.

Answered: F2 30.0 JF1 K 2.00 m *3.00m->l Find the…

F2 30.0 JF1 K 2.00 m *3.00m->l Find the net (or total) torque about point O for the two forces as in the figure above. let F1 = 7.80N and Fa=15. ON. Express your answer in newton-meters.

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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