Engineering mechanics question about weight/cables/pulleys

In summary, the conversation is about an assembly with three cables and a box with a mass of 64kg. The questions involve determining the mass of box K to achieve a 25 degree angle, finding the reaction forces at supports G and N, and calculating the required cable diameter based on its tensile strength. The principles involved are static equilibrium and other principles may also apply.
  • #1
bobmarly12345
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0

Homework Statement


An assembly shown in the picture, GH , HK, HNL are three cables. the mass of box L IS 64Kg,
a) determine the mass of box K in order to make angle theta as 25 degrees
b) determine the reaction forces at supports G and N
c) calculate required cable diameter when tensile strength of the cable is 20MPaI can't seem to do these questions and its stressing me out because i could do it before but I've totally forgotten how to now. any help would be more than great!

Homework Equations


The Attempt at a Solution

 

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  • #2
First identify which principles will be involved. In this case, static equilibrium. What do you know about equilibrium that might apply in this case? What other principles might be involved?
 

Related to Engineering mechanics question about weight/cables/pulleys

1. What is the relationship between weight and tension in a cable?

The tension in a cable is directly proportional to the weight it is supporting. This means that as the weight increases, the tension in the cable also increases.

2. How does the number of pulleys affect the mechanical advantage?

The more pulleys there are in a system, the greater the mechanical advantage. This is because each additional pulley reduces the amount of force needed to lift a weight.

3. How does the angle of the cable affect the tension?

The tension in a cable will increase as the angle of the cable becomes steeper. This is because the weight of the object being lifted is distributed over a smaller area, resulting in a greater force on the cable.

4. What is the difference between static and dynamic loading?

Static loading refers to a constant and unchanging load, while dynamic loading involves a changing or varying load. In engineering mechanics, this can affect the design and stability of structures and machines.

5. How do you calculate the mechanical advantage of a pulley system?

The mechanical advantage of a pulley system can be calculated by dividing the weight being lifted by the force applied to the rope or cable. This will give the number of times the force is multiplied by the pulley system.

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