ch. 16 - kinematics of ero-2d - part 1

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Ch. 12 - Kinematics of P-2D Ch. 13 - Kinetics of P-2D (F = ma) Ch. 14 - Kinetics of P-2D (Work-Energy) Ch. 15 - Kinetics of P-2D (Impulse-Momentum) Ch. 16 - Kinematics of ERO-2D (Extended Rigid Object) Kinematics (how?) -> Goal: Trying to determine motion (s, v, a, ) For ERO's, motion can be translational and/or rotational Rectilinear Translation (RT) 1. Curvilinear Translation (CT) 2. Rotation about a Fixed Axis (Rot) 3. General Plane Motion (GPM -> T + R) 4. 4 Types of Motion for an ERO-2D: Rot 1. RT 2. GPM 3. CT 4. Motion: It take ~6.28 (2) radians to go around the outside of our circle. How far have we rotated if an object is undergoing an = 2 rad/s? Just like T motion, if R has a constant , then we can use the 'Kinematic Equations of Motion.' (Rot) Ch. 16 - Kinematics of ERO-2D - Part 1 Tuesday, June 24, 2014 12:20 PM Su 14 Page 1

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  • Ch. 12 - Kinematics of P-2DCh. 13 - Kinetics of P-2D (F = ma)Ch. 14 - Kinetics of P-2D (Work-Energy)Ch. 15 - Kinetics of P-2D (Impulse-Momentum)

    Ch. 16 - Kinematics of ERO-2D (Extended Rigid Object)

    Kinematics (how?) -> Goal: Trying to determine motion (s, v, a, )

    For ERO's, motion can be translational and/or rotational

    Rectilinear Translation (RT)1.Curvilinear Translation (CT)2.Rotation about a Fixed Axis (Rot)3.General Plane Motion (GPM -> T + R)4.

    4 Types of Motion for an ERO-2D:

    Rot1.RT2.GPM3.CT4.

    Motion:

    It take ~6.28 (2) radians to go around the outside of our circle.

    How far have we rotated if an object

    is undergoing an = 2 rad/s?

    Just like T motion, if R has a constant , then we can use the 'Kinematic Equations of Motion.'

    (Rot)

    Ch. 16 - Kinematics of ERO-2D - Part 1Tuesday, June 24, 201412:20 PM

    Su 14 Page 1

  • Relative QuantitiesvB/A = vB - vA

    (sitting in A watching B)

    Using Translational Coordinate System -> The X,x and Y,y always remain parallel.

    vB/A = vB - vA

    Gears:

    Example:

    Su 14 Page 2