forces at angles. recall: in this case the applied force is horizontal only if the f=ff, it means...
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![Page 1: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/1.jpg)
Forces at Angles
![Page 2: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/2.jpg)
Recall: In this case the
Applied Force is horizontal only
If the F=Ff, it means the object is either at rest or moving at a constant velocity
Ff
![Page 3: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/3.jpg)
Force at an Angle
What happens to the all of the Forces if the Applied force is placed at an angle?
θ
Fa
Ff
Fg=W
FN
Actual Drawing
![Page 4: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/4.jpg)
FBD
Draw two different FBD The actual FBD The component FBDθ
θ
Fa
Ff
Fg=W
FN
Ff
Fg=W
FN
Fx= Facosθ
Fy= Fasinθ
![Page 5: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/5.jpg)
Determining Acceleration When a question asks about an
acceleration of a block (x-direction) Use Newton’s Second Law
Be sure to sum the forces ONLY in the X-direction FNet = Fx - Ff
m
Fa Net
![Page 6: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/6.jpg)
Determining Normal Force When a question asks about
the Normal force of a block (y-direction)
FN = Fg – Fy
Be sure to sum the forces ONLY in the Y –direction
![Page 7: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/7.jpg)
Example:
If the little girl in the picture before is pulling her 10 kg little sister with a force of 50N at an angle of 15o and the force of friction is 5N, what is the girls acceleration and what is the normal force?
![Page 8: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/8.jpg)
Rotating orientation
When looking at objects on an incline the easiest idea is to rotate the orientation of the X-Y axis to the angle
X
Y
X
Y
![Page 9: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/9.jpg)
Weight on an Incline
θ
old x axis
old y axis
new x axis:parallel to incline
new y axis:perpendicular to incline
Zoomed In
Fg
FN
Ff
θ
![Page 10: Forces at Angles. Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant](https://reader036.vdocument.in/reader036/viewer/2022082917/55144d03550346494e8b4f27/html5/thumbnails/10.jpg)
Determining Parallel & Perpen Force of Friction:
Force of friction is opposite the angle and you know the hypotenuse
Normal Force: Normal force is adjacent to
the angle and you know the hypotenuse
Fg
FN
Ff
θ
singf FF
cosgN FF
sin
sin
g
f
F
FH
O
cos
cos
g
N
F
FH
A