### Analyzing Torque on a Rotating BarThe diagram illustrates a 4.0-meter long bar that is fixed so it can rotate freely around point O located at one end of the bar. Three forces are applied at various points and angles along the bar as specified in the figure.#### Forces and Angles:1. **16 N Force**: Applied at 3.0 meters from point O at an angle of 30° to the left (counterclockwise direction).2. **27 N Force**: Applied at 4.0 meters from point O and directed straight upwards.3. **33 N Force**: Applied at point O, at an angle of 45° to the right (clockwise direction).#### Objective:To determine which of the forces create a counterclockwise (positive) torque about point O.#### Detailed Analysis:- **16 N Force**: - Torque is calculated as \( \tau = r \cdot F \cdot \sin(\theta) \) - Here \( r = 3.0 \) meters, \( F = 16 \) N, and \( \theta = 30^\degree \) - The direction is counterclockwise, resulting in a positive torque.- **27 N Force**: - Applied perpendicularly at a distance of 4.0 meters - Equation: \( \tau = r \cdot F \cdot \sin(90^\degree) \) - Here \( r = 4.0 \) meters, \( F = 27 \) N - The force causes an upwards push, leading to a counterclockwise (positive) torque.- **33 N Force**: - Applied at the pivot point (O) which means \( r = 0 \) meters. - Regardless of the angle, the torque is zero since distance \( r \) is zero. - Hence, it does not create any torque.#### Conclusion:The forces that create a counterclockwise (positive) torque are the:- 16 N force- 27 N force#### Options:- [ ] The 33 N force- [x] The 16 N force- [x] The 27 N force- [ ] None

The 4.0 m long bar shown in the figure is fixed so that it can rotate freely around point O at the end of the bar. Three forces are applied along the bar at the positions and angles shown. Use the convention that a counter-clockwise spin is positive. Which of the following forces create a counterciockwise (positive) torque? Mark all that apply. 27 N 16 N 30 45° +3.0 m→ .4.0 m. 33 N

The 4.0 m long bar shown in the figure is fixed so that it can rotate freely around point O at the end of the bar. Three forces are applied along the bar at the positions and angles shown. Use the convention that a counter-clockwise spin is positive. Which of the following forces create a counterciockwise (positive) torque? Mark all that apply. 27 N 16 N 30 45° +3.0 m→ .4.0 m. 33 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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Just give me the last step solutions(make the solution shortest) and give me the answer. Thank you.
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