Consider the situation of the previous problem. Th

Question

Consider the situation of the previous problem. The man has to reach the other shore at the point directly opposite to his starting point. If he reaches the other shore somewhere else, he has to walk down to this point. Find the minimum distance that he has to walk.

Deepak Patra · Accepted Answer

Sol. Velocity of man V ⃗m = 3 km/hr BD horizontal distance for resultant velocity R. X-component of resultant Rx = 5 + 3 cos θ t = 0.5 / 3sinθ which is same for horizontal component of velocity. H = BD = (5 + 3 cos θ) (0.5 / 3 sin θ) = (5+3 cos⁡θ)/(6 sin⁡θ ) For H to be min (dH/dθ) = 0 ⇒ d/(d θ) ((5+3 cos⁡θ)/(6 sin⁡θ )) = 0 ⇒ –18 (sin2 θ + cos2 θ) – 30 cos θ = 0 ⇒ –30 cos θ = 18 θ cos θ = –18 / 30 = –3/5 Sin θ = √(1-cos^2⁡〖θ 〗 ) = 4/5 ∴ H = (5+3 cos⁡θ)/(6 sin⁡θ ) = (5+3 (-3/5))/(6 x (4/5)) = 2/3 km

Mechanics> Consider the situation of the previous pr...

Consider the situation of the previous problem. The man has to reach the other shore at the point directly opposite to his starting point. If he reaches the other shore somewhere else, he has to walk down to this point. Find the minimum distance that he has to walk.

Shane Macguire , 11 Years ago

Deepak Patra

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Mechanics> Consider the situation of the previous pr...

Consider the situation of the previous problem. The man has to reach the other shore at the point directly opposite to his starting point. If he reaches the other shore somewhere else, he has to walk down to this point. Find the minimum distance that he has to walk.

Shane Macguire , 11 Years ago

Deepak Patra

LIVE ONLINE CLASSES

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