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This lecture covers the concept of calculating the velocity and projection of a point on the axis of rotation of a rigid body, as well as the conditions for rolling without slipping. The instructor explains the kinematics of two solids in contact, illustrating the movement of a wheel rolling without slipping on a surface. The lecture delves into the importance of determining the direction of angular velocity in planar motion, using examples like a cylinder rolling on a surface. The discussion includes the velocity analysis of different points on the cylinder and emphasizes the significance of understanding planar motion in rigid bodies.
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