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Forces & Motion
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Forces & Motion
A block on a horizontal surface with a live free-body diagram, static-friction threshold, net-force equation, and time plots.
MECHANICS / 03
Forces & Motion
Cross the friction threshold, then follow the motion.
MOTION STATE
DRIVEN: SPEEDING UP
STATIC-FRICTION THRESHOLD
BREAKAWAY
0
fₛ,max 17.2 N
|F| 25.0 N · applied
FREE-BODY DIAGRAM
signed horizontal forces
x₀
x = 0.00 m
m
N
mg
F
app
f
k
Fapp = 25.0 N
f = -12.3 N
kinetic friction opposes motion
NEWTON'S SECOND LAW
ΣFₓ = 12.7 N
ΣFₓ = F
app
+ f = ma
a = 2.55 m/s²
FORCE vs TIME
+25.0
0
-25.0
0
2.5
5.0 s
N
applied
friction
net
VELOCITY vs TIME
force released: 2.0 s
+5.1
0
-5.1
0
2.5
5.0 s
m/s
Rigid block · Constant friction · 1D motion
SCIENCE STUDIO