A sail boat sails $$2$$ km due East, $$5$$ km $$37o$$ South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is $$6$$ km due East, determine the third displacement.

Question

Infinity Learn · Accepted Answer

Given resultant displacement is $$6$$ km due eastWhich may be expressed as $$6i^$$.Given displacements $$are(i)$$ $$2$$ km due east or $$2i^(ii)$$ $$5$$ km $$37o$$ south of east its components along $$x-axis$$ $$=5cos$$⁡$$37$$∘$$=5$$×$$45=4i^$$ along $$y-axis$$ $$=5sin$$⁡$$37$$∘$$=5$$×$$35=$$−$$3j^(iii)$$ unknown displacement let it be $$ai^+bj^$$∴ $$2i^+4i^$$−$$3j^+ai^+bj^=6i^$$∴ $$6i^+ai^$$−$$3j^+bj^=6i^comparing$$ the two $$sidesa=0$$ and $$b=3$$∴  Unknown displacement $$=3j^$$

A sail boat sails 2 km due East, 5 km 37^o South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6 km due East, determine the third displacement.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A sail boat sails 2 km due East, 5 km 37o South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6 km due East, determine the third displacement.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A sail boat sails 2 km due East, 5 km 37^o South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6 km due East, determine the third displacement.