Finding tension and reaction force for a boom

In summary, a 1100 N uniform boom is being supported by a cable that is perpendicular to it, with a hinged bottom and a 2000 N weight hanging from the top. The tension in the cable can be found by taking into account the perpendicular angle and the downward force of the weight. The torque produced by the weight and the weight of the boom are also important factors to consider.
  • #1
mandy9008
127
1

Homework Statement


A 1100 N uniform boom is supported by a cable perpendicular to the boom, as in the figure below. The boom is hinged at the bottom, and a 2000 N weight hangs from its top.

p8-26alt.gif


(a) Find the tension in the supporting cable.
(b) Find the components of the reaction force exerted on the boom by the hinge.

The Attempt at a Solution


I can't find any examples in my book that look anything like this. Please help me to get started.
 
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  • #2
They said the tension is perpendicular to the boom. The weight acts downwards.

So what is the torque produced by the weight and the weight of the boom?
 

Related to Finding tension and reaction force for a boom

1. How do you calculate the tension and reaction force for a boom?

To calculate the tension in a boom, you will need to determine the weight of the boom and any loads or objects attached to it. The tension can then be calculated using the equation T = W + L, where T is the tension, W is the weight, and L is the load. The reaction force can be calculated using the equation R = T + L, where R is the reaction force.

2. What factors can affect the tension and reaction force of a boom?

The tension and reaction force of a boom can be affected by several factors, including the weight and placement of any loads or objects attached to the boom, the angle of the boom, and the material and thickness of the boom itself. External forces such as wind or movement of the boom can also impact the tension and reaction force.

3. How do you ensure the safety of a boom under tension?

To ensure the safety of a boom under tension, it is important to carefully calculate and monitor the tension and reaction force. The boom should also be made of strong and durable materials that can withstand the calculated tension, and regular inspections and maintenance should be performed to identify any potential weaknesses or damage.

4. Can the tension and reaction force of a boom be adjusted?

Yes, the tension and reaction force of a boom can be adjusted by changing the weight or placement of any loads, adjusting the angle of the boom, or using different materials for the boom. It is important to carefully recalculate the tension and reaction force after making any adjustments to ensure the safety and stability of the boom.

5. What is the purpose of finding the tension and reaction force for a boom?

The tension and reaction force of a boom are important to calculate in order to ensure the safety and stability of the boom. This information can also be used to determine the appropriate materials and design for a boom, as well as to make any necessary adjustments to keep the boom functioning properly.

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