Align the hypotenuse of a right triangle with the vector and the coordinate dire

Question

Align the hypotenuse of a right triangle with the vector and the coordinate direction with as the included angle. side along a Vector Components-Review To introduce you to vectors and the use of sine and cosine for a triangle when resolving components. Vectors are an mathematics, and engineering. They are used to discuss Correct currents, stress and strain in structures and materials and flows of atmospheres and fuids, and they have many other Part D depending on the signs of the x and y coordinates (Figure 3). Consider the following conditions is a to position, velocity um, and angular momentum are all vector quanties, resolving A 0.v0 is the most important skill required in a course Which of these lettered conditions are true in which the numbered quadrants shown in (Egure 3)7 Write the answer in the following way: If A were true in the third quadrant, B in the second, C in the first, and D in the fourth, enter "3, 2, 1, 4" as your response. Part E Now find the components N, and N, of N in the tited coordinate system of Part B Express your answer in terms of the length of the vector N and the angle 8, with the

Explanation / Answer

Solution ) Part D

Here answer will be 1,4,2,3

As per the given information A is in first quadrant as both x and y are greater than zero

B is in fourth quadrant as x is greater than zero but y less than zero

C is in second quadrant as x less than zero and y greater than zero

D is in third quadrant as both x and y are less than zero

So the answer is 1 , 4 ,2,3

Part E

The components Nx and Ny as it is tilted we get

Nx= -Nsin(theeta)

Ny=Ncos(theeta)

Therefore Nx,Ny= -Nsin(theeta) , Ncos(theeta)

  

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