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H. Resolution of Forces - Breaking down a single vector into 2 or more vectors
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
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
Answer:
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?
Vertical component - smaller
Ex 4) Parallel & perpendicular components
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
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