### Problem StatementWhat is the net torque on the object shown below rotating about the point labeled O? (Give your answer in N·m. The positive direction is counterclockwise).- \( r_1 = 2.69 \, \text{m} \)- \( r_2 = 5.23 \, \text{m} \)### Diagram ExplanationThe diagram shows a circular object with a point \( O \) at its center. From this point, two radii are labeled: \( r_1 \) and \( r_2 \).- **Force 1**: 6.00 N acting leftwards along the top of the circle.- **Force 2**: 15.0 N acting at a 45-degree angle to a line extending horizontally from the center.- **Force 3**: 4.00 N acting downwards on the right of the circle.### Calculation StepsTo solve for the net torque, you need to consider the torque produced by each force about point \( O \). Torque (\( \tau \)) is calculated using the formula:\[ \tau = r \cdot F \cdot \sin(\theta) \]where:- \( r \) is the radius,- \( F \) is the force,- \( \theta \) is the angle between the force and the lever arm.Now calculate the torques:1. **Torque due to the 6.00 N force** (Force 1): - \( \tau_1 = r_1 \times 6.00 \, \text{N} = 2.69 \, \text{m} \times 6.00 \, \text{N} \) - This force is perpendicular to \( r_1 \), so \(\sin(90^\circ) = 1\).2. **Torque due to the 15.0 N force** (Force 2): - \( \tau_2 = r_2 \times 15.0 \, \text{N} \times \sin(45^\circ) = 5.23 \, \text{m} \times 15.0 \, \text{N} \times \sin(45^\circ) \)3. **Torque due to the 4.00 N force** (Force 3): -

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What is the net torque on the object shows below rotating about the point labeled O? (Give counterclockwise) your answer in N m. The positive direction is r₁ = 2.69 m r₂ = 5.23 m 6.00 N Answer: 45.0° 15.0 N 4.00 N

What is the net torque on the object shows below rotating about the point labeled O? (Give counterclockwise) your answer in N m. The positive direction is r₁ = 2.69 m r₂ = 5.23 m 6.00 N Answer: 45.0° 15.0 N 4.00 N

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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