union college mechanical engineering esc020: rigid body mechanics1 kinetics of particles free body...

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Union College Mechanical Engineering ESC020: Rigid Body Mechanics 1 Kinetics of Particles Free Body Diagrams Cylindrical Coordinates

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Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 1

Kinetics of Particles

Free Body Diagrams Cylindrical Coordinates

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 2

Example 1

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 3

Example 2

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 4

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 5

Example 4

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 6

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 7

Example 6

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 8

Cylindrical Coordinates

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 9

Calculating Ψ

ddr

r

/tan

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 10

Example 7The boy of mas 40kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components

Determine the components of force which the slide exerts on him at the instant t=2s. Neglect the boys size.

tz

t

mr

sm

s

5.0

7.0

5.11

Union CollegeMechanical Engineering

ESC020: Rigid Body Mechanics 11

Example 8

The 0.5 lb particle is guided along the circular path using the slotted arm guide. If the arm has an angular velocity of 4 rad/s and an angular acceleration of 8 rad/s2 ath the instant θ=30°, determine the force of the guide on the particle. Motion occurs in the horizontal plane.