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Lecture 15 – Relative Motion Analysis: Velocity

BNG 202 – Biomechanics II. Lecture 15 – Relative Motion Analysis: Velocity. Instructor: Sudhir Khetan, Ph.D. May 3, 2013. Types of rigid body motion. Kinematically speaking… Translation Orientation of AB constant Rotation All particles rotate about fixed axis

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Lecture 15 – Relative Motion Analysis: Velocity

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  1. BNG 202 – Biomechanics II Lecture 15 – Relative Motion Analysis: Velocity Instructor: Sudhir Khetan, Ph.D. May 3, 2013

  2. Types of rigid body motion • Kinematically speaking… • Translation • Orientation of AB constant • Rotation • All particles rotate about fixed axis • General Plane Motion (both) • Combination of both types of motion B B B B A A A A focus of today!

  3. Kinematics of translation • Kinematics • Position • Velocity • Acceleration • True for all points in R.B. (follows particle kinematics) y rB rA x B A Simplified case of our relative motion of particles discussion – this situation same as cars driving side-by-side at same speed example fixed in the body

  4. Relative motion analysis: velocity • Transl. & Rotation (General Plane Motion) • Position • Velocity (time deriv) • Let’s say motion of A is known • We would like to find motion of B and (ω is rotation of member about A) drA dθ y rB/A rB/A (new) drA drB/A drB rA rB x A rotation translation why is this? B where

  5. Review of cross products • See Chapter 4 of your statics text for full details or

  6. Example Problem If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB at the instant shown.(F16-58, 2 rad/s) Strategy: In beginning of the solution (“data” section should just be the sketch of the setup), what other information do we know about the components?

  7. Example Problem If rod AB slides along the horizontal slot with a velocity of 60 ft/s, determine the angular velocity of link BC at the instant shown. (F16-11, 48 rad/s)

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