Calculating Net Force Two forces act on an object: 1) a force of magnitude F₁ and direction 0₁ 2) a force of magnitude F2 and direction 02 The net force on the object has a magnitude of Fnet and a direction of Onet- Solution: Forces must be added in component form (x and y separately): Fnet,x=F₁ cos 0₁ + F₂ cos 0₂ Fnet cos Onet Fnet y = F₁ sin 0₁ +F₂ sin 02 Fnet sin net The 2 equations above have 6 variables. So if 4 variables are given, the equations can be solved. Tip: Plug in decimals for sines/cosines of known angles. 3 4 F₁ 184N 305.6 F₁ 0₁ 170⁰ 0₁ 156⁰ N Type your answer... F₂ 349N F2 336N 0₂ 289⁰ 0₂ 301⁰ Fnet N Onet 244⁰

University Physics Volume 1
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Chapter5: Newton's Law Of Motion
Section: Chapter Questions
Problem 23P: While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch....
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Calculating Net Force
Two forces act on an object:
1) a force of magnitude F₁ and direction 0₁
2) a force of magnitude F2 and direction 02
The net force on the object has a magnitude of Fnet and a direction of Onet.
Solution:
Forces must be added in component form (x and y separately):
Fnet,x=F₁ cos 0₁ + F₂ cos 0₂ = Fnet CoS Onet
Fnet.y
Fnet sin net
The 2 equations above have 6 variables. So if 4 variables are given, the
equations can be solved.
Tip: Plug in decimals for sines/cosines of known angles.
=
· F₁ sin 0₁ + F2 sin 0₂
=
3
4
F₁
184N
305.6
F₁
N
Type your answer...
0₁
170⁰
0₁
156⁰
F₂
349N
F₂
336N
02
289⁰
02
301⁰
Fnet
N
Onet
244⁰
--DO
Transcribed Image Text:Calculating Net Force Two forces act on an object: 1) a force of magnitude F₁ and direction 0₁ 2) a force of magnitude F2 and direction 02 The net force on the object has a magnitude of Fnet and a direction of Onet. Solution: Forces must be added in component form (x and y separately): Fnet,x=F₁ cos 0₁ + F₂ cos 0₂ = Fnet CoS Onet Fnet.y Fnet sin net The 2 equations above have 6 variables. So if 4 variables are given, the equations can be solved. Tip: Plug in decimals for sines/cosines of known angles. = · F₁ sin 0₁ + F2 sin 0₂ = 3 4 F₁ 184N 305.6 F₁ N Type your answer... 0₁ 170⁰ 0₁ 156⁰ F₂ 349N F₂ 336N 02 289⁰ 02 301⁰ Fnet N Onet 244⁰ --DO
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