Please teach me how to solve this problem. It makes me confused because of a hyp

Question

Please teach me how to solve this problem.

It makes me confused because of a hypotenuse and tank which is on the stable cart(?)

Consider a tank of rectangular cross-section partially filled with a liquid placed on an inclined surface, as shown in the figure. When frictional effects are negligible. that the slope of the liquid surface will be the same as the slope of the inclined Surface when the tank is released. What can you say about the slope of the free surface when the friction is significant?

Explanation / Answer

whenfriction is absent then a=g*sinalpha

Now component of a along y direction

=ay=g*tanalpha

so tantheta=ay/g

tan(theta)=tan(alpha)

when friction is thre then we have theta<friction as ay is less in that case

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