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:
F x = 100 cos 50 ∘ + 100 cos 170 ∘ F _ {x} = 1 0 0 \cos 5 0 {}^ {\circ} + 1 0 0 \cos 1 7 0 {}^ {\circ} F x = 100 cos 50 ∘ + 100 cos 170 ∘ F x = 100 sin 50 ∘ + 100 sin 170 ∘ F _ {x} = 1 0 0 \sin 5 0 {}^ {\circ} + 1 0 0 \sin 1 7 0 {}^ {\circ} F x = 100 sin 50 ∘ + 100 sin 170 ∘
The resultant force equals:
F = F x 2 + F y 2 = 100 N F = \sqrt {F _ {x} ^ {2} + F _ {y} ^ {2}} = 1 0 0 N F = F x 2 + F y 2 = 100 N
Angle equals:
arctan F y F x = 110 ∘ \arctan \frac {F _ {y}}{F _ {x}} = 1 1 0 {}^ {\circ} arctan F x F y = 110 ∘
Answer: 100 N at 110 ∘ 110{}^{\circ} 110 ∘
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