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Chapter 6: Dynamics II: Motion in a Plane

Chapter 6: Dynamics II: Motion in a Plane. 6.1 Kinematics in two Dimensions 6.2 Dynamics in Two Dimensions 6.3 Projectile Motion 6.4 Relative Motion. Position and Velocity. Instantaneous velocity. The Instantaneous velocity vector is tangent to the trajectory.

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Chapter 6: Dynamics II: Motion in a Plane

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  1. Chapter 6: Dynamics II: Motion in a Plane 6.1 Kinematics in two Dimensions 6.2 Dynamics in Two Dimensions 6.3 Projectile Motion 6.4 Relative Motion

  2. Position and Velocity

  3. Instantaneous velocity The Instantaneous velocity vector is tangent to the trajectory. The direction of the velocity is to the curve.

  4. Don’t confuse these two graphs

  5. Acceleration

  6. The instantaneous acceleration can bedecomposed into parallel and perpendicular components

  7. Projectile Motionobject moves in two dimensions under the gravitational force.

  8. Plot of projectile motion in t-xy

  9. Launch angle

  10. Ex. A ball thrown horizontally at velocity Vi , travels a horizontal distance of R m before hitting the ground. From what height was the ball thrown?(1) Since ball is thrown horizontally, Vi =VxThere is no acceleration at x direction.ie. R = Vxt, t = R/Vx(2) Viy=0, h = -1/2gt2

  11. Problem 42 Solve a quadratic equation to get t

  12. The maximum height and distance of fly ball For projectile motion, always remember:

  13. Relative Motion • Relative position Relative velocity

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