Solving Statics Rope Problem: Finding Force & Angle

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SUMMARY

The discussion centers on solving a statics problem involving a uniform strut and a pulley system supporting a 30-kg engine. The key equations used include the equilibrium conditions Fx=0 and Fy=0, along with the moment equation T=rF=0. The tension in the rope is determined to be equal to the weight of the engine (Tension=mg), and participants suggest taking moments about the hinge to analyze the forces exerted by the strut.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with tension and moment calculations
  • Knowledge of forces acting on rigid bodies
  • Basic mechanics of pulleys and struts
NEXT STEPS
  • Study the concept of static equilibrium in detail
  • Learn about calculating moments about a pivot point
  • Explore tension forces in pulley systems
  • Review examples of rigid body analysis in statics
USEFUL FOR

This discussion is beneficial for students studying physics or engineering, particularly those focusing on statics and mechanics. It is also useful for educators and tutors looking to enhance their teaching methods in these subjects.

Jstew
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Homework Statement


Using a uniform strut, a rigid brace hinged at the floor, a
person holds a 30-kg engine in equilibrium while it is being
repaired. The strut has a mass of 12.5 kg. A smooth rope passes
over a pulley at the end of the strut. (a) What is
the force exerted on the rope by the person? (Specify the direction
of this force by calculating the angle theta that the rope
makes with the horizontal.) (b)What forces are exerted by the
strut?

30coitw.jpg



Homework Equations


Fx=0
Fy=0
T=rF=0

The Attempt at a Solution


Looking at the engine, Fy=0 so Tension=mg. I don't know where to go from here.
 
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Hi Jstew! :smile:
Jstew said:
Looking at the engine, Fy=0 so Tension=mg.

Well, that's the answer to (a), isn't it? :smile:

For (b), start by taking moments about the hinge. :wink:
 

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