Show that the acceleration of any object down a frictionless incline that makes an angle $\theta$ with the horizontal is $a=g \sin \theta .$ (Note that this acceleration is independent of mass.)
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- The normal reaction force acting perpendicular to the incline. Show more…
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Show that the acceleration of any object down an incline where friction behaves simply (that is, where $f_{\mathrm{k}}=\mu_{\mathrm{k}} N )$ is $a=g\left(\sin \theta-\mu_{\mathrm{k}} \cos \theta\right) .$ Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small $\left(\mu_{\mathrm{k}}=0\right)$
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