3) A 10.0 m long, 18.0kg bar is set so that is rotates around its center of mass. Three forces act on the bar (see diagram). 0₁-55.0°, 03-135º, F₁=20.ON, F₂=30.0 N, and F3 is unknown. If the Net Torque on the bar is 100 Nm in the clockwise direction, what must the magnitude of F3 be? 0₂ 2.50m axis d
3) A 10.0 m long, 18.0kg bar is set so that is rotates around its center of mass. Three forces act on the bar (see diagram). 0₁-55.0°, 03-135º, F₁=20.ON, F₂=30.0 N, and F3 is unknown. If the Net Torque on the bar is 100 Nm in the clockwise direction, what must the magnitude of F3 be? 0₂ 2.50m axis d
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Transcribed Image Text:**Problem 3 Overview:**
A bar, 10.0 meters long and with a mass of 18.0 kg, rotates around its center of mass. Three forces act on this bar, as depicted in the accompanying diagram.
**Given Data:**
- \(\theta_1 = 55.0^\circ\)
- \(\theta_3 = 135^\circ\)
- \(F_1 = 20.0 \, \text{N}\)
- \(F_2 = 30.0 \, \text{N}\)
- \(F_3\) is unknown.
**Condition:**
- The net torque on the bar is 100 Nm in the clockwise direction.
**Question:**
- What must the magnitude of \(F_3\) be?
**Diagram Explanation:**
- The bar is horizontal, positioned such that it rotates about its center.
- A point slightly left of the center of the bar indicates the axis of rotation.
- \(F_1\) is applied at the right end of the bar and directed at an angle \(\theta_1\) from the horizontal.
- \(F_2\) acts vertically downward at the left end of the bar.
- \(F_3\) is applied on the bar on the upper side, left of the center, at an angle \(\theta_3\) from the horizontal.
- The distance from the center of the bar to where \(F_3\) is applied is marked as 2.50 meters.
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