Engineering mechanics question about weight/cables/pulleys

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SUMMARY

The discussion focuses on solving an engineering mechanics problem involving static equilibrium with three cables (GH, HK, HNL) and two boxes (L and K). The mass of box L is specified as 64 kg, and the goal is to determine the mass of box K to achieve a 25-degree angle (theta) and to calculate the reaction forces at supports G and N. Additionally, the required cable diameter is to be calculated based on a tensile strength of 20 MPa.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of tension in cables and forces
  • Familiarity with basic mechanics equations
  • Ability to perform calculations involving mass and angles
NEXT STEPS
  • Study the principles of static equilibrium in detail
  • Learn how to calculate reaction forces in support structures
  • Research tensile strength requirements for different cable materials
  • Explore methods for determining cable diameter based on load and strength
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Students in engineering mechanics, mechanical engineers, and anyone involved in structural analysis or cable systems design.

bobmarly12345
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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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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?
 

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