How do I find acceleration and tension on an inclined plane

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SUMMARY

The discussion focuses on calculating the acceleration and tension in a system involving two objects of 2.8 kg and 4.2 kg connected by an inextensible cord on a frictionless inclined plane at 22°. A downward force of 60N is applied. The net force equation ΣFnet = ma is utilized, leading to an acceleration of -12.24 m/s². The tension in the cord is derived from the weight and applied force, emphasizing the importance of free body diagrams in solving such problems.

PREREQUISITES
  • Understanding of Newton's Second Law (ΣFnet = ma)
  • Knowledge of free body diagrams
  • Familiarity with inclined plane physics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the effects of friction on inclined planes
  • Learn about tension in multi-body systems
  • Explore advanced applications of Newton's laws in dynamics
  • Practice problems involving forces on inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to enhance their teaching of inclined plane problems.

ivan ripalda

Homework Statement


Two objects of 2.8kg and 4.2kg are connected by an inextensible cord. The object's at rest on a plane inclined 22°, determine the object's acceleration and tension in the cord if a 60N force is used to push the object downward.

Homework Equations


ΣFnet = ma

the plane is frictionless.

The Attempt at a Solution


a = Σfnet/m
a= weight + F/m
a = -25.70N - 60N / 7kg
a = - 12.24

weight - F -T = ma
T = tension[/B]
 
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Welcome to PhysicsForums. The way that this site works for homework problems: you provide your attempt at a solution, then we will provide prompts to help guide you toward the solution. Please add what attempts you have made at a solution.

Hint: it will help you to draw a free body diagram for each object.
 

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