forces at angles. recall: in this case the applied force is horizontal only if the f=ff, it means...

Forces at Angles

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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 velocity

Force at an Angle

What happens to the all of the Forces if the Applied force is placed at an angle?

Fg=W

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

FBD

Draw two different FBD The actual FBD The component FBDθ

Fg=W

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

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

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

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

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

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

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

Weight on an Incline

old x axis

old y axis

new x axis:parallel to incline

new y axis:perpendicular to incline

Zoomed In

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

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

singf FF

cosgN FF

sin

cos

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