Force on refrigerator acts in 2 directions
Force acts in 2 directions
H. Resolution of Forces - Breaking down a single vector into 2 or more vectors
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St. Mary's HS Physics
Which component is responsible for making this cart move?
Only horizontal part (Fx)
of
applied force
If the angle were increased, how would it change the size of the:
Vertical component?
Increase
Horizontal component?
Decrease
Ex 1) A car is pulled with a force of 60. N at angle of 37° from the horizontal. Find the vertical and horizontal components of the applied force
Scale: 1 cm = 10 N
Using Trigonometry
| SinӨ = | Opp | = | Fy |
| Hyp | F |
Cross Multiply
| Fy = FsinӨ |
| Fx = FcosӨ |
"One size fits all"
Fy = 60. Nsin37°
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?
O N
Vertical Component of Weight Force?
8O N
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
St. Mary's Physics
St. Mary's HS
Vertical component - smaller
Horizontal component - larger
Ex 4) Parallel & perpendicular components
St. Mary's H.S. Physics
F = 10 N (Weight)
F = 10. N (Weight)
Find the force holding cart on ramp and force that acts down
Force (down
ramp) = Fapplied
sinӨ =
5 N
Force (on ramp) = Fapplied cosӨ =
8.7 N
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