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1D/2D Particle Kinetics – Newton’s 2nd law
General approach to solving Newton’s 2nd law problems
1.
Identify the motion
(the type of motion) and its characteristics
.
2.
Draw FBD
.
3.
Set up proper coordinate system
based on the motion
:
a.
xy
: horizontal or vertical motion
b.
xy
: parallel and perpendicular to an incline
c.
nt
: vertical circular motion
d.
n

y
: horizontal circular motion
4.
Apply Newton’s 2nd law in the components form
, that is, along the coordinate axes.
:
:
:
xx
yy
nn
tt
F
ma
xy
F
ma
F
ma
nt
F
ma
F
ma
ny
F
ma
Σ=
−
−
−
Additional information is based on forces (friction force formula) and kinematics (acceleration).
Example
1. A 75 Kg man standing on a 15 Kg cart exerts a 150 N force on the rope to pull himself up the smooth ramp as
shown. If the angle of the incline is
θ
= 30
˚, f
ind the acceleration of the man. (
Ans
: 0.1 m/s
2
)
2. The small sphere on the smooth inner surface of the spinning cone is observed to move with the cone without
sliding along the surface. The small sphere has mass
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This note was uploaded on 10/02/2011 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.
 Spring '08
 TSChang

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