ENGR 215 ~ Dynamics Section 16.5

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14 Νοε 2013 (πριν από 3 χρόνια και 11 μήνες)

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ENGR 215 ~ Dynamics

Section 16.5

Relative Motion Analysis

Relative Motion Analysis


Relative Motion Analysis

Relative Motion Analysis



A
B
A
B
A
B
A
B
/
/
r
ω
v
v
v
v
v





The Big Helper Slide


Clockwise Rotation =
-
ω


Count
-
Clockwise Rotation = +

ω



-

Relative position drawn from A to B

B/A
r
Lecture Example 1:
Find the velocity vector of Point B at
θ
=10
°

when
ω
=2
π

rad/sec. The radius of the wheel is 1
meter. Assume the wheel is pinned at the center and will
only rotate about its center. It will not roll.

Lecture Example 2:
Find the velocity vector at Point B
when
θ
=10
°

and when
ω
=2
π

rad/sec. The radius of the
wheel is 1 meter. Assume the will roll.

Cycloids

http://mathworld.wolfram.com/Cycloid.html

Lecture Example 3
: Find the velocity of the wagon wheel
at Point A when the disk is rolling to the right with a
velocity, v
B
, of v m/s. Assume no slippage between the
wheel of radius, r and the ground.

Lecture Example 4
: Determine the velocity of the
piston C at
Φ
=30
°

and the angular velocity of BC.