ME 204 Day 10 Ch 16.1-16.3

# ME 204 Day 10 Ch 16.1-16.3 - In Class Problem Two boats...

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In Class Problem Two boats leave the shore at the same time and travel in the directions shown. If v A =30 ft/s and v B =20 ft/s, determine the speed of boat B with respect to boat A. How long after leaving the shore will the boats be 800 ft apart What is this really asking?

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Two boats leave the shore at the same time and travel in the directions shown. If v A =20 ft/s and v B =15 ft/s, determine the speed of boat B with respect to boat A. How long after leaving the shore will the boats be 800 ft apart j i v 30 cos 30 30 sin 30 A v A =30 ft/s v B =20 ft/s j i 98 . 25 0 . 15 j i v 45 cos 20 45 sin 20 B j i 14 . 14 14 . 14 A B A B / v v v A B A B v v v / What is the relative motion equation? Remember the boy on the bus rearrange j i 98 . 25 14 . 14 0 . 15 14 . 14 j i 84 . 11 14 . 29 2 2 / 84 . 11 14 . 29 B A v s ft 45 . 31 time dist v v dist time s ft ft 45 . 31 800 s 4 . 25
ME 204 Rigid Body Motion: Planar Kinematics Rotation about a fixed axis Chapters 16.1 – 16.3

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Types of planar motion
Today lets focus on rotation about a fixed axis Important new variables θ (angular position) ω (angular velocity) α (angular acceleration)

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dt ds v ocity linear vel Compare Linear Rotational dt dv a on accelerati linear S position linear dt d velocity Ang. dt d on accelerati Ang. position Angular
v Linear Velocity Compare UNITS Linear Rotational Angular Velocity s ft s m a Linear Acceleration 2 s ft 2 s m s rad min rev rpm What is a more common set of units for angular velocity Angular acceleration 2 s rad

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