Force on refrigerator acts in 2 directions

 

 

H. Resolution of Forces - Breaking down a single vector into 2 or more vectors

Components
Animation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Which component is responsible for making this cart move? 

 

Only horizontal part (Fx) of applied force  

Ex 1) A car is pulled with a force of 60N at angle of 37° from the horizontal. Find the vertical and horizontal components of the applied force

Scale: 1 cm = 10 N

 

 


 
 

 


 

 Using Trigonometry

Sinq = Opp = Fy
           Hyp    F

 

Fy = Fsinq


 

 

 

Fx = Fcosq

 

 

Fy   = 60Nsin37°

 

Fy = 36 N North

 

Fx = 60Ncos37°

 

Fx = 48 N East

 

 

Check  a2 + b2 = c2  

36 N2 + 48 N2= 60 N2

 

 

Ex 2) Weight of cart = 80 N

  • horizontal component of weight force?

  • vertical component of weight force?

 

 

Answer:
 
horizontal component = 0 N
vertical component = 80 N down

 

Ex 3) A 50 N force at an angle of 80° has its' angle changed to 10°. 

 

 How will the vertical and horizontal components change?


Components Part II  
Angle & Components

Animations

Vertical component - smaller
Horizontal component - larger

 

 

Ex 4) Parallel & perpendicular components

Free Body Diagram
 
 Animation

 

F = 10 N (Weight)

 


        

F = 10 N (Weight)

 

 

 

 

Find the force holding cart on ramp and force that acts down

 

Force (down ramp) = Fapplied sinq = 6 N
Force 
(on ramp) = Fapplied cosq = 8 N  

 

Monster Shoot Out Game
Animation