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Engineering Mechanics Lecture 3

Engineering Mechanics Lecture 3. 5/10, Friday 4-5am. Tendency of Force to Rotate a Body. Two effects of force: Move a body in the direction of its application Rotate a body around an axis. Moment Arm. Tendency of the force to rotate a body Is proportional to F and d.

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Engineering Mechanics Lecture 3

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  1. Engineering MechanicsLecture 3 5/10, Friday 4-5am

  2. Tendency of Force to Rotate a Body • Two effects of force: • Move a body in the direction of its application • Rotate a body around an axis.

  3. Moment Arm Tendency of the force to rotate a body Is proportional to F and d d: perpendicular distance from the axis to the line of force action

  4. Right-Hand Rule Moment in the direction of thumb Fingers curl in the direction of the tendency to rotate

  5. Sign of Moment (2D Convention) Plus sign (+): counter clockwise Minus sign (-): clockwise

  6. Many-Particle Interactions For an N particles system, in equilibrium F3 3 f32 f23 f31 2 f13 f21 F1 f12 1

  7. Many-Particle Interactions Newton’s 1st law: For an N particles system, in equilibrium ? Can you prove: Need Newton’s 3rd law Therefore:

  8. Many-Particle System For a N-particle system, in equilibrium

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