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Force and Motion-II Applying Newton’s Second Law to More Complex Problems: The Atwood Machine and the Inclined Plane. Lecture 5 Thursday:29 January 2004. Applying Newton’s Second Law (F=ma) to more complex problems. Recall,. Motion in Two-Dimensions. - PowerPoint PPT Presentation
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Force and Motion-IIApplying Newton’s Second Law
to More Complex Problems:The Atwood Machine and the Inclined Plane.
Lecture 5
Thursday:29 January 2004
Applying Newton’s Second Law (F=ma) to more complex problems.
Recall,
yyxxmm
m
aFaF
aF
,
:dimensions 2in
,
Motion in Two-Dimensions
• Motion in x direction is completely independent of motion in y direction.
• Break problem into two parts. One regarding x-motion, one regarding y-motion
• Each part is then handled just like motion in 1-Dim.
What do we know?
• Is tension the same for both masses?
• Is acceleration the same for both masses?
• Is the acceleration equal to g?
Atwood’s Machine
T mg ma Mg T Ma
T
Mg mg Ma ma
M m g M m a
aM m
M mg
Add these to eliminate .
( ) ( )
Problem Solving Tip:
Rotate your coordinate system for the inclined plane. Make one axis along the
direction of motion.
You can leave the coordinate system in the “traditional” form for the hanging
weight.
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