Two forced A and B acting on a particle. Force A is 3 N directed north and B is 4 newton, 30 degrees of east. Find the resultants force using the laws of sines and cosine.
1
Expert's answer
2021-09-23T08:30:30-0400
If the second force points 30° N of E, the angle between them is θ=90°-30°=60°. The angle between their lines, counting clockwise, is γ=180°-60°=120°.
According to the law of cosines, the resultant will be
R=A2+B2−2ABcosγ==32+42−2⋅3⋅4cos120°=6.1 N.
The angle toward E from N, according to law of sines, is
Comments
Thank you so much
Leave a comment