A sailboat has its sail inclined in the direction N20 o E. The wind is blowing i

Question

A sailboat has its sail inclined in the direction N20o E. The wind is blowing into the sail in thedirection S 45o W with a force of 220 lb (seefigure). (a) find the effective force of the wind on the sail Hint: find the components of the wind parallel to the sail andperpendicular to the sail. the component of the wind parallel tothe sail slips by and does not push on the sail. (b)If the keel of the ship is aligned due north, find theeffective force of the wind that drives the boat forward. Hint: only the component of the force found in part a that isparallel to the keel drives the boat forward

Explanation / Answer

a) the force perpendicular= 220 sin (45-20) = 22 sin(25) the force parallel=220 cos (25) b) The force is parallel from projection onto the directionalvector. Force = [220 cos (25)] cos(20) Force = 187.43

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