In object e in the (Figure 1), what magnitude of force F (if any) is needed to put the object into rotational equilibrium about the axis AA shown?

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Chapter1: Units, Trigonometry. And Vectors
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In object e in the (Figure 1), what magnitude of force F (if any) is needed to put the object into rotational equilibrium about the axis AA shown?

The image consists of five diagrams labeled (a) to (e), each showing a beam subjected to different forces and pivot point denoted as "A". Here's a detailed description of each scenario:

(a) A beam is supported at a point labeled "A" and has a 50 N force acting upwards at the left end. The beam is 40 cm long, with the force placed 30 cm from point "A".

(b) This beam also has a point "A" and a 50 N force acting upwards, but this time, the force is at the right end of the beam. The beam is again 40 cm long, with the force 30 cm from point "A".

(c) In this scenario, the beam has two forces: 50 N applied 10 cm from the left end and 40 N applied 20 cm from the left end. Point "A" is positioned 30 cm from the left end.

(d) For this setup, a 50 N force is 10 cm from the left end, and a 40 N force is 10 cm from point "A". "A" is located 30 cm from the right end.

(e) A 50 N force is applied 15 cm from the left end, a 100 N force is at the left edge, and point "A" is 10 cm from the right end. The beam is loaded with an upward force \( F \) at the right end.

These diagrams illustrate different configurations of forces acting on a pivoted beam, useful for studying torque and equilibrium principles in physics.
Transcribed Image Text:The image consists of five diagrams labeled (a) to (e), each showing a beam subjected to different forces and pivot point denoted as "A". Here's a detailed description of each scenario: (a) A beam is supported at a point labeled "A" and has a 50 N force acting upwards at the left end. The beam is 40 cm long, with the force placed 30 cm from point "A". (b) This beam also has a point "A" and a 50 N force acting upwards, but this time, the force is at the right end of the beam. The beam is again 40 cm long, with the force 30 cm from point "A". (c) In this scenario, the beam has two forces: 50 N applied 10 cm from the left end and 40 N applied 20 cm from the left end. Point "A" is positioned 30 cm from the left end. (d) For this setup, a 50 N force is 10 cm from the left end, and a 40 N force is 10 cm from point "A". "A" is located 30 cm from the right end. (e) A 50 N force is applied 15 cm from the left end, a 100 N force is at the left edge, and point "A" is 10 cm from the right end. The beam is loaded with an upward force \( F \) at the right end. These diagrams illustrate different configurations of forces acting on a pivoted beam, useful for studying torque and equilibrium principles in physics.
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