In the last experiment, we measured the acceleration on an inclined frictionless air track. (a) Please draw the force diagram of the cart and then derive the relationship between (b) acceleration and angle theta, (c) normal force and angle theta.

In the last experiment, we measured the acceleration on an inclined frictionless air track. (a) Please draw the force diagram of the cart and then derive the relationship between (b) acceleration and angle theta, (c) normal force and angle theta.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 3CQ

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Expert Solution

Step 1

Free body diagram

Step 2

(b) Apply newton’s second law along the plane of the incline

$\begin{array}{rcl} \sum F_{x} & = & m a \\ m g \sin θ & = & m a \\ a & = & g \sin θ \end{array}$

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