A particle is projected at an angle alpha with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta . show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)

Question

Shobhit Varshney · Answer

Dear student,

in such type of problems. choose the coordinate axes as x-axis along the wedge and y-axis normal to wedge. Apply equations of motion , such that when it strikes the plane, y-component of the velocity becomes zero.
Simplify the equations and get the result

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A particle is projected at an angle alpha with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta . show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)

A particle is projected at an angle alpha^{with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta .}
^{show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)}

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A particle is projected at an angle alpha with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta . show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)

A particle is projected at an angle alpha with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta .show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)

1 Answers

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A particle is projected at an angle alpha^{with the horizontal from the foot of the plane ,whose inclination to the horizontal is beta .}
^{show that It will strike the plane at right angles If cot beta=2 tan(alpha - beta)}