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ENGR 215 ~ Dynamics Sections 16.1 – 16.3. Rigid Body Motion When all the particles of a rigid body move along paths which are equidistant from a fixed.

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Presentation on theme: "ENGR 215 ~ Dynamics Sections 16.1 – 16.3. Rigid Body Motion When all the particles of a rigid body move along paths which are equidistant from a fixed."— Presentation transcript:

1 ENGR 215 ~ Dynamics Sections 16.1 – 16.3

2 Rigid Body Motion When all the particles of a rigid body move along paths which are equidistant from a fixed plane the body is said to undergo planar motion. Three types of planar motion –Translation Rectilinear Curvilinear –Rotation about a fixed axis –General Plane Motion

3 Rigid Body Planar Motion

4 Rigid Body Motion Example

5 Translation

6 Rotation about a Fixed Axis Angular Motion Angular Position Angular Velocity Angular Acceleration

7 Rotation about a Fixed Axis

8 Rotation about a Fixed Axis with Constant Angular Acceleration

9 Motion of a Point P Position Velocity

10 Motion of a Point P Acceleration

11 Motion of a Point P Acceleration

12 Motion of a Point P

13 Lecture Example 1 : You have been asked to help design a Human Powered Paper Vehicle for some of your classmates. They designed their vehicle with 48:15 gears, where the first number is the front sprocket and the second number is the rear sprocket. If their vehicle has 16 inch wheels and their maximum pedal cadence is 80 rev/min, is their gearing adequate to complete the 300m (900 ft) course in under 2 minutes with 2 rider changes at 15 seconds each.

14 Lecture Example 2: Determine the angular velocity and acceleration after the mass-less 0.5 m radius disk has rotated 10 times starting from rest.

15 Lecture Example 3: The angular velocity of the disk is defined by ω=(5t 2 +2) rad/sec. Determine the magnitude of the velocity and acceleration when t=0.5 seconds of Point A.


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