Statics - Impending motion, moments help

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SUMMARY

The discussion centers on calculating the force required to tip a cup filled with 6 oz of coffee, with the center of gravity located at point G. The participant applied the principle of moments, stating that the sum of moments around point A equals zero, resulting in a calculated force of -0.5 lbs. The conversation highlights the importance of considering normal force in such static equilibrium problems, confirming the need for thorough analysis in statics.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with the concept of moments in physics
  • Knowledge of forces and their calculations (w=mg)
  • Ability to analyze forces acting on rigid bodies
NEXT STEPS
  • Study the application of the sum of moments in static equilibrium problems
  • Learn about normal force and its role in tipping scenarios
  • Explore detailed examples of static analysis in engineering mechanics
  • Investigate the effects of varying center of gravity on stability
USEFUL FOR

Students in physics or engineering courses, particularly those focusing on statics and mechanics, as well as educators seeking to enhance their teaching of equilibrium concepts.

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Homework Statement


The cup shown in the picture is filled with 6 oz of coffee. The center of gravity is located at G. If a vertical force is applied to the rim of the cup a shown in the picture, determine its magnitude so that the cup is on the verge of tipping.
14vpbtd.jpg


Homework Equations



sum of moments = 0
sum of forces = 0
w=mg

The Attempt at a Solution


I summed the moments around point A and came up with the force = - .5 lbs.

not sure if that's right, Do I need to factor in a normal force?

Thanks!
 
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