4. Calculate the net torque (magnitude and direction) on the beam in figure below about (a) an axis through O perpendicular to the page and (b) an axis through C perpendicular to the page. 25 N 30% T20° 45° C 2.0 m 10 N 4.0 m 30 N

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

4. Calculate the net torque (magnitude and direction) on the beam in the figure below about:

(a) an axis through point O, perpendicular to the page, and   
(b) an axis through point C, perpendicular to the page.

**Description of the Diagram:**

The diagram shows a horizontal beam OC which is 6.0 meters long. It is divided into two segments: OC is 4.0 meters and CO itself is 2.0 meters.

- **Forces Applied:**
  - A 30 N force is applied at an angle of 45° to the left end (point O) of the beam forming an angle towards the upper side of the beam.
  - A 25 N force is applied at the midpoint (point C) of the left segment at an angle of 30° towards the right side of the beam, pointing upwards and to the right.
  - A 10 N force is applied at the right end of the beam at an angle of 20° to the upper side of the beam.

**Axes for Torque Calculation:**

- **Axis through O:** Measure the effect of each force in terms of torque by considering its perpendicular distance from point O.
- **Axis through C:** Measure the effect of each force in terms of torque by considering its perpendicular distance from point C.

In both cases, consider the direction of each force and its angle compared to the beam to compute the components contributing to the torque.
Transcribed Image Text:**Problem Statement:** 4. Calculate the net torque (magnitude and direction) on the beam in the figure below about: (a) an axis through point O, perpendicular to the page, and (b) an axis through point C, perpendicular to the page. **Description of the Diagram:** The diagram shows a horizontal beam OC which is 6.0 meters long. It is divided into two segments: OC is 4.0 meters and CO itself is 2.0 meters. - **Forces Applied:** - A 30 N force is applied at an angle of 45° to the left end (point O) of the beam forming an angle towards the upper side of the beam. - A 25 N force is applied at the midpoint (point C) of the left segment at an angle of 30° towards the right side of the beam, pointing upwards and to the right. - A 10 N force is applied at the right end of the beam at an angle of 20° to the upper side of the beam. **Axes for Torque Calculation:** - **Axis through O:** Measure the effect of each force in terms of torque by considering its perpendicular distance from point O. - **Axis through C:** Measure the effect of each force in terms of torque by considering its perpendicular distance from point C. In both cases, consider the direction of each force and its angle compared to the beam to compute the components contributing to the torque.
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