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a rectangular box containig water is accelerated up at 3 m/s/s.on a inclined plane 30 degrees to the horizontal.find the slope of the free liquid surface?

a rectangular box containig water is accelerated up at 3 m/s/s.on a inclined plane 30 degrees to the horizontal.find the slope of the free liquid surface?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear vivek


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mg force is acting on the liquid element in downward direction

and inertial force ma is acting in the apposite direction of acceleration

let F is resultant of these two

F2 =(mg)2 + (ma)2 + 2(mg)(ma)cos60

this force F makes and angel Φ with mg

tanΦ =ma sin60 /(mg + ma cos60)

   T is apposite to F

and free surface of liquid will be perpendicular to T

   
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Badiuddin

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