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Chapter 10 – Rotation and Rolling - Physics

Chapter 10 Rotation and RollingII. Rotation with constant angular accelerationIII. Relation between linear and angular variables- Position, speed, variables- Angular position, displacement, velocity, accelerationIV. Kinetic energy of rotationV. Rotational inertiaVI. TorqueVII. Newton s second law for rotationVIII. Work and rotational kinetic energyIX. Rolling motionI. Rotational variablesRigid body:body that can rotate with all its parts locked together andwithout shape Rotation axis:every point of a body moves in a circle whose center lieson the Rotation axis. Every point moves through the same angle duringa particular time position:the angle of the reference line relative to the positivedirection of the : radians (rad)Reference line:fixed in the body, perpendicular to the Rotation axis and rotating with the Note:we do not reset to zero with each complete Rotation of the reference line about the Rotation axis.

rad rev rad r r rev 1 57.3 0.159 2 2 1 360 Note: we do not reset θto zero with each complete rotation of the reference line about the rotation axis. 2 turns θ=4π Translation: body’s movement described by x(t). Rotation: body’s movement given by θ(t) = angular position of the body’s reference line as function of time.

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