Physics

Physics

Problem

Two forces

\mathbf{A}

and

\mathbf{B}

act on a particle such that their resultant is

\mathbf{R}=6\hat{i}+2\hat{j}\,\text{N}

. Force

\mathbf{A}

has magnitude

5\,\text N

and makes an angle

37^{\circ}

above the positive

x

-axis (take

\cos 37^{\circ}=0.8

and

\sin 37^{\circ}=0.6

). Determine

\mathbf{B}

. a)

3\hat{i}-2\hat{j}\,\text N

b)

2\hat{i}+1\hat{j}\,\text N

c)

2\hat{i}-1\hat{j}\,\text N

d)

-2\hat{i}+1\hat{j}\,\text N

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