(no friction) inclined plane acceleration

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SUMMARY

The discussion centers on calculating the acceleration (β) of an object on an inclined plane with no friction. The object remains stationary relative to the inclined plane while a horizontal acceleration is applied. The relationship between the angle of the incline (θ) and the acceleration is defined by the equation sin(θ) = 1/x. To solve for β, one must equate the force exerted by the acceleration against the incline with the gravitational force acting on the object.

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  • Understanding of inclined plane physics
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  • Familiarity with force decomposition into components
  • Basic algebra for solving equations
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  • Explore Newton's second law of motion in detail
  • Investigate the effects of friction on inclined planes
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Students studying physics, particularly those preparing for exams involving mechanics and inclined planes, as well as educators looking for practical examples of force analysis.

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Homework Statement





Homework Equations


on a inclined plane an object is at stationery. β accelaration is applied horizontally towards the inclined plane(no friction at all no where) being object is at rest relative to the inclined plane.the angle of the inclined plane is θ sinθ=1/x.what is the accelaration(β). I am a srilankan my physics test sum today
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The Attempt at a Solution

 
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If you apply an acceleration [itex]\beta[/itex] against an incline plane then you are applying a force [itex]m \beta[/itex] against that plane and the plane pushes back with a normal force with equal strength but with a different direction. Calculate the force pushing your object up and set this equal to the force of gravity pulling it down [itex]mg[/itex] and you're done.
Alternatively parameterize gravity and the pushing force into new components parallel to the ramp and solve for these being equal.
 

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