Find Angle of Inclined Plane w/ Load & Cart

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SUMMARY

The discussion focuses on calculating the angle of an inclined plane with a cart and a load using Newton's 2nd Law. Given a cart mass of 7.6 kg, a load mass of 4.2 kg, and an acceleration of 1.2 m/s², participants emphasize the importance of creating a free body diagram to visualize forces acting on the system. The conclusion drawn is that the masses do not affect the angle calculation, which simplifies the problem significantly.

PREREQUISITES
  • Understanding of Newton's 2nd Law of Motion
  • Ability to create and interpret free body diagrams
  • Familiarity with inclined plane physics
  • Basic knowledge of vector forces
NEXT STEPS
  • Study the derivation of forces on inclined planes
  • Learn about frictionless systems in classical mechanics
  • Explore advanced applications of Newton's Laws in multi-body systems
  • Investigate the role of pulleys in mechanical advantage
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding dynamics involving inclined planes and pulley systems.

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a cart on a (frictionless)inclined plane is attached to a load by a string that passes thru a frictionless pully. mass of cart =7.6 kg, mass of load = 4.2 kg, acc = 1.2 m/s^2. what is the angle of the plane?
 
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What have you done?

Do a free body diagram

Use Newton's 2nd Law

[tex]\sum_{i=1}^{n} \vec{F}_{i} = m \vec{a}[/tex]
 
It's also worth noting that the masses will turn out to be irrelevant to the answer.
 

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