Question #51071

Two forces act on a point object as follows: 100 N at 170 and 100N at 50 . Find the resultant force
1

Expert's answer

2015-03-20T02:58:15-0400

Answer on Question #51071, Physics, Mechanics | Kinematics | Dynamics

Question:

Two forces act on a point object as follows: 100 N at 170 and 100N at 50. Find the resultant force

Answer:


Components of the resultant force equals:


Fx=100cos50+100cos170F _ {x} = 1 0 0 \cos 5 0 {}^ {\circ} + 1 0 0 \cos 1 7 0 {}^ {\circ}Fx=100sin50+100sin170F _ {x} = 1 0 0 \sin 5 0 {}^ {\circ} + 1 0 0 \sin 1 7 0 {}^ {\circ}


The resultant force equals:


F=Fx2+Fy2=100NF = \sqrt {F _ {x} ^ {2} + F _ {y} ^ {2}} = 1 0 0 N


Angle equals:


arctanFyFx=110\arctan \frac {F _ {y}}{F _ {x}} = 1 1 0 {}^ {\circ}


Answer: 100 N at 110110{}^{\circ}

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