rticle Kinetics Homework Problems
ME 274
roblem IV-52
iven: Particle P (of mass m = 8 kg) moves within a vertical plane inside a rough,
Chapter IV: Particle Kinetics Homework
circular slot. The coefficient of kinetic friction between particle P and the slot
is µk = 0.2, and the radius of the slot is r = 2 meters. At the position shown
below,Homework
the speed of4.A
P is known to be v = 3 m/sec.
nd:
Given: Particle P (of mass m) moves within a vertical plane inside a rough, circular slot. The
For this
position:of kinetic friction between particle P and the slot is µk , and the radius of the slot is r.
coefficient
the position
below,
theof
speed
of P is contact
known to
be v.
a) At
Determine
the shown
numerical
value
the normal
force
of the slot
on P.
Find: For this position:
b) (a)
Is PDetermine
in contactthe
with
the innervalue
or outer
surface
of contact
the slot?force of the slot on P;
numerical
of the
normal
Determine
of change
of speed
c) (b)
Determine
thethe
raterate
of change
of speed
of of
P. P.
v
rough
surfaces,
m
P
µk
r
53.13°
O
g
Use the following parameters in your analysis: m = 8 kg, µk = 0.2, r = 2 m and v = 3 m/s.
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IV-3
Chapter IV: Particle Kinetics Homework
Homework 4.B
Given: Block A (having a mass of m) is connected to block B (with a mass of 2m) through the
cable-pulley system shown. The system is released with block B moving downward with a speed
of vB and with block A displaced to the left of the path of B by an amount of sA and moving to
the right along the its horizontal guide. Consider all surfaces to be smooth. Assume that the cable
remains taut during this motion and that the radii of the pulleys are small.
Find: Determine the acceleration of blocks A and B for this position.
O
sB
g
h
vB
m
A
B
2m
smooth
sA
Use the following parameters in your analysis: m = 10 kg, sA = 0.5 m, h = 2 m and vB = 10 m/s.
IV-4
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