A body is projected up a smooth inclined plane (length = 
) with velocity u from the point M as shown in the figure. The angle of inclination is 45 o and the top is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of v
Text Solution
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At point N angle of projection of the body will be 45 0 . Let velocity of projection at this point is v .
If the body just manages to cross the well then 
⇒ ⇒ 
But we have to calculate the velocity ( u ) of the body at point M.
For motion along the inclined plane (from M to N )
Final velocity ( v ) = 20 m/s ,
acceleration ( a ) = – g sin α α = – g sin 45 o , distance of inclined plane ( s ) = 
m
[Using v 2 = u 2 + 2 as ]
⇒ ⇒ u 
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