(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the attachment there is a drawing of the situation.

Mass one = 4kg and Mass two = 5kg

The coefficient of friction between mass one and the inclined plane = 0.24

Find the magnitude of the acceleration of the masses and the tension in the cord.

2. Relevant equations

F_{k}= μ_{k}F_{normal}

Fnet_{x}=Mg*Sinϑ-F_{k}=Ma

F_{normal}=Mg*Cosϑ

Fnet_{x}=F_{k}+Mg*Sinϑ-T=Ma ???

3. The attempt at a solution

a=(Sinϑ-μ_{k}Cosϑ)g.... a=9.8(Sin30-0.24*Cos30)=2.86m/s^{2}

t=MgSinϑ-MgCosϑ*μ_{k}-Ma... t=33.9481-8.1476-14.3=11.5N

I'm not sure if the equation I ended up with for acceleration is correct and I am pretty sure that my equation for tension is completely wrong.

The book is giving me the answers a=2.4m/s/s and t=37N

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# Acceleration and Tension of two masses on an inclined plane with friction.

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