Calculate the torque (magnitude and direction) about point OO due to the force F⃗ F→ in each of the situations sketched in the figure below (Figure 1). In each case, the force F⃗ F→ and the rod both lie in the plane of the page, the rod has length 6.00 mm, and the force has magnitude 4.00 NN. Let counterclockwise torques be positive. A) Case (a): B)Case (b): C)Case (c): D)Case (d): E)Case (e): F)Case (f):

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Chapter1: Units, Trigonometry. And Vectors
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Calculate the torque (magnitude and direction) about point OO due to the force F⃗ F→ in each of the situations sketched in the figure below (Figure 1). In each case, the force F⃗ F→ and the rod both lie in the plane of the page, the rod has length 6.00 mm, and the force has magnitude 4.00 NN. Let counterclockwise torques be positive.

A) Case (a):

B)Case (b):

C)Case (c):

D)Case (d):

E)Case (e):

F)Case (f):

 

The image features a series of illustrations labeled (a) through (f), each depicting a bar or lever pivoted at point O, with a force \(\vec{F}\) acting upon it at various angles and positions. 

(a) Illustration shows a force \(\vec{F}\) applied at a 90.0° angle to the lever, which is oriented horizontally with point O on the left.

(b) Illustration shows a force \(\vec{F}\) applied at a 120.0° angle to the lever. The lever is oriented horizontally, and the force is applied above the horizontal.

(c) Illustration shows a force \(\vec{F}\) applied at a 30.0° angle downward to the lever. The lever and force orientation are similar to (b).

(d) Illustration shows a force \(\vec{F}\) applied at a 60.0° angle to the lever. The lever has a length of 2.00 m from point O to the point of force application.

(e) Illustration shows a force \(\vec{F}\) applied at a 60.0° angle directly to the point O horizontally from the right.

(f) Illustration shows a force \(\vec{F}\) applied horizontally to the lever starting at point O.

These diagrams are useful for understanding how different angles and positions of force affect the torque and rotation of levers.
Transcribed Image Text:The image features a series of illustrations labeled (a) through (f), each depicting a bar or lever pivoted at point O, with a force \(\vec{F}\) acting upon it at various angles and positions. (a) Illustration shows a force \(\vec{F}\) applied at a 90.0° angle to the lever, which is oriented horizontally with point O on the left. (b) Illustration shows a force \(\vec{F}\) applied at a 120.0° angle to the lever. The lever is oriented horizontally, and the force is applied above the horizontal. (c) Illustration shows a force \(\vec{F}\) applied at a 30.0° angle downward to the lever. The lever and force orientation are similar to (b). (d) Illustration shows a force \(\vec{F}\) applied at a 60.0° angle to the lever. The lever has a length of 2.00 m from point O to the point of force application. (e) Illustration shows a force \(\vec{F}\) applied at a 60.0° angle directly to the point O horizontally from the right. (f) Illustration shows a force \(\vec{F}\) applied horizontally to the lever starting at point O. These diagrams are useful for understanding how different angles and positions of force affect the torque and rotation of levers.
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