Torque & Tension: Find FT1, FT2 & θ for 120-N Board

In summary, torque and tension are important concepts in physics that refer to the force applied to an object and its resulting movement or change in shape. Torque is calculated by multiplying the force applied by the distance from the point of rotation, while tension is the force exerted by a rope, string, or cable on an object. FT1 and FT2 refer to the forces acting on an object, and θ is the angle at which these forces are applied. In real-world applications, torque and tension are used in building structures, operating machinery, and even in sports equipment.
  • #1
Felix Gana
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The uniform, 120-N board shown in Fig. 5-19 is supported by two ropes as shown. A 0.40-kN weight is suspended one quarter of the way from the left end. Find FT1, FT2, and the angle θ made by the left rope.

Thank you for those who will give time and solve this problem. :)
 
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  • #2
Fig. 5-19
 

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  • #3
Felix Gana said:
The uniform, 120-N board shown in Fig. 5-19 is supported by two ropes as shown. A 0.40-kN weight is suspended one quarter of the way from the left end. Find FT1, FT2, and the angle θ made by the left rope.

Thank you for those who will give time and solve this problem. :)
You're operating under a misunderstanding of the rules for HW threads here at PF.

You are the one who must solve this problem. We're here to give you hints or to answer questions you might have as you work through the problem. PF is not a HW service. :frown:
 
  • #4
+1 Forum rules say you should use the homework template and make an attempt to solve it. Not only do you learn more that way but we avoid wasting time teaching stuff you already know.
 

1. What is torque and tension?

Torque and tension are two important concepts in physics that refer to the force applied to an object and its resulting movement or change in shape.

2. How do you calculate torque and tension?

Torque is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. Tension is the force exerted by a rope, string, or cable on an object. To calculate tension, you need to know the magnitude of the force and the angle at which it is applied.

3. What is FT1, FT2, and θ in relation to torque and tension?

FT1 and FT2 refer to the forces acting on the 120-N board in the problem. FT1 is the force applied at the left end of the board, and FT2 is the force applied at the right end. θ is the angle at which these forces are applied, and it affects the overall torque and tension on the board.

4. How can I find FT1, FT2, and θ in a problem like this?

To find FT1, you can use the equation FT1 = (120 N)(cos θ). To find FT2, you can use the equation FT2 = (120 N)(sin θ). You can then use the equation θ = tan-1(FT2/FT1) to find the angle at which the forces are applied.

5. What are some real-world applications of torque and tension?

Torque and tension are used in a variety of real-world applications, such as building bridges and structures, operating machinery and vehicles, and even in sports equipment like tennis rackets and golf clubs. Understanding these concepts is essential for engineers, architects, and anyone who works with forces and movement.

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