Homework Help: Mechanics AS (Vectors)

Posted by Jat on Tuesday, February 21, 2012 at 1:00pm.

When Studying Vectors, How Would I Go About Answering This Question?

In Each of the following Cases, find the magnitude and direction of the resultant vectors of the two given vectors:

a) a displacement of magnitude 26km on a bearing of 175 degrees and a displacement of magnitude 18km on a bearing 294 degrees

b) Forces of 355 N on a bearing of 320 degrees and 270 N on a bearing of 025 degrees

help would be MUCH appreciated, if you could also explain how you answer it ?

also if you feel like drawing a diagram on paint or something if you could link it?

THANKS :D

Mechanics AS (Vectors) - Steve, Tuesday, February 21, 2012 at 1:21pm
in order to add vectors, it's necessary to convert to (x,y) from (r,θ)

For problem (a), we want to add

(26,175°) and (18,294°)
Now, bearings use 0° as North, measured clockwise, so we have to use

x = r*sinθ
y = r*cosθ

(26,175°) -> (2.266,-25.901)
(18,294°) -> (-16.444,7.321)
add 'em up to get
(-14.178,-18.580)
convert back to (r,θ) to get distance and bearing.

now go and do (b) the same way

Answer this Question

Related Questions

vectors - ok theres a graph. its like this. basically theres a ray coming from ...
math - given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q ...
math - given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q ...
Calculus and vectors - Please, help I don't understand vectors T.T 1. In the...
physics - Can you help me with this one also? I know how to do it with 3 vectors...
physics-vectors - If the magnitude of the sum of two vectors is greater than the...
Math - Algebraic Vectors - Given the vectors: u = [3, 0] v = [-1, 2] a) Express ...
math - if vectors a+b+c=0 and modulus of the vectors a, b and c are 3 ,5 and 7 ...
math - two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the ...
math - two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the ...

For Further Reading

First Name:
School Subject:
Answer: