Two fixed frictionless inclined plane making the angle 30° and 60° with the vertical are shown in the figure . Two blocks A and B are placed on the two planes . what is the relative vertical acceleration of A with Respect to B
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Explanation:- Force applying on the block
- F = mgsin¢
- Or, mgsin¢ = ma
- ∴ a = gsin¢
Where, a is along the inclined plane .
- ∴Vertical component of acceleration is gsin²¢
- ∴ Ralative vertical acceleration of A with respect to B is
- g(sin²60° - sin²30°)
- g/2 = 4.9m/s² [in vertical direction]
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