Q. A body is projected up a smooth inclined plane with a velocity from point as shown in the figure. The angle of inclination is and top of the plane is connected to a well of diameter . If the body just manages to cross the well, the value of is (Length of the inclined plane is , and )

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A

B

C

D

Solution:

Let be the velocity at point B at it cross the well. thus the range of the projection motion.

also as the inclined plane is at an angle thus for projection motion is also
thus

now given initial velocity is so apply the equation of motion

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