Find Angle of Inclined Plane w/ Load & Cart

Thread starter smitheric420
Start date Oct 5, 2004
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Angle

AI Thread Summary

To find the angle of an inclined plane with a cart and load, a free body diagram and Newton's second law are utilized. The masses of the cart and load do not affect the angle calculation, as the acceleration is the key factor. Given the cart's mass of 7.6 kg, the load's mass of 4.2 kg, and an acceleration of 1.2 m/s², the angle can be determined through the relationship between gravitational force and acceleration. The discussion emphasizes that the frictionless nature of the plane and pulley simplifies the analysis. Ultimately, applying these principles leads to the solution for the angle of the inclined plane.

Oct 5, 2004

smitheric420

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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Oct 5, 2004

Pyrrhus

Homework Helper

What have you done?

Do a free body diagram

Use Newton's 2nd Law

\sum_{i=1}^{n} \vec{F}_{i} = m \vec{a}

Oct 5, 2004

Diane_

Homework Helper

It's also worth noting that the masses will turn out to be irrelevant to the answer.

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