Forces and laws of motion worksheet-Newtons first law

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SUMMARY

The discussion centers on a homework worksheet related to Newton's First Law of Motion, specifically addressing the calculation of net forces using vector components. The user references equations for force components: fy = sin(angle) x force and fx = cos(angle) x force, along with the net force formula fnet = √(fy² + fx²). The primary challenge lies in determining the correct approach to calculate the y component of the net force when multiple forces are in play, particularly for the third question on the worksheet.

PREREQUISITES
  • Understanding of Newton's First Law of Motion
  • Familiarity with vector decomposition in physics
  • Knowledge of trigonometric functions (sine and cosine)
  • Ability to perform calculations involving square roots and sums of squares
NEXT STEPS
  • Review vector decomposition techniques in physics
  • Study examples of calculating net forces in equilibrium scenarios
  • Learn about the application of trigonometric functions in physics problems
  • Practice solving problems involving multiple forces and their components
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Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators looking for examples of problem-solving in Newtonian physics.

meredith
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Homework Statement



http://go.hrw.com/resources/go_sc/phy/HF2SR042.PDF

this is the link to the worksheet I am having trouble with. if anyone could help me out that would be great. i got most of it but have a few questions.


Homework Equations


fy=sin(angle) x force
fx= cos(angle) x force
fnet = √(fy^2 + fx^2)



The Attempt at a Solution


1.) F1 + F2 + F3
2.) String 1: x component:0
y component: -Fg
String 2 x component: -F2cos(theta1)
y component: F2sin (theta1)
String 3: x component: F3cos(theta2)
y component: F3sin(theta2)

Number 3 is what I am having trouble with. i know that the Fx net is:
√0+xcomponent String2^2+x component String3^2)
but I am not sure about the y component. is it just the sqrrt of the sums of the squares of the three ycomponenents? or am i missing something?
oh and i think i can do #4 without a problem.

so can someone check my work and make sure its right and help me with #3? thanks!
 
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meredith said:

Homework Statement



http://go.hrw.com/resources/go_sc/phy/HF2SR042.PDF

this is the link to the worksheet I am having trouble with. if anyone could help me out that would be great. i got most of it but have a few questions.


Homework Equations


fy=sin(angle) x force
fx= cos(angle) x force
fnet = √(fy^2 + fx^2)



The Attempt at a Solution


1.) F1 + F2 + F3
2.) String 1: x component:0
y component: -Fg
String 2 x component: -F2cos(theta1)
y component: F2sin (theta1)
String 3: x component: F3cos(theta2)
y component: F3sin(theta2)

Number 3 is what I am having trouble with. i know that the Fx net is:
√0+xcomponent String2^2+x component String3^2)
but I am not sure about the y component. is it just the sqrrt of the sums of the squares of the three ycomponenents? or am i missing something?
oh and i think i can do #4 without a problem.

so can someone check my work and make sure its right and help me with #3? thanks!

1) It's in equilibrium...

2) 0, F_1=m\textbf{g}.

3) It's in equlibrium in both directions...

4) Sweet.
 

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