3. A cylindrical surface is a sweep surface; it is produced by the motion of a straight line which during its motion con

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3 A Cylindrical Surface Is A Sweep Surface It Is Produced By The Motion Of A Straight Line Which During Its Motion Con 1 (84.7 KiB) Viewed 30 times

3. A cylindrical surface is a sweep surface; it is produced by the motion of a straight line which during its motion contacts a fixed curve while maintaining its direction. The figure below represents a circle of radius a, that is centered at the origin and located on the z = 0 plane. The angle is the angle the position vector ç (that defines the generic point of the circle) makes with the x-axis; it is the parameter of the rotation of the point Ç about the z-axis at a distance a to the axis. Fill in the blanks in the vector equation below, so that it represents the cylindrical surface generated by the motion of the straight line d1 given in the first question) which during its motion maintains its contact with the circle ç. Point P is the generic point of the cylindrical surface (The figure does not refer to line di in true state.). Z y 1 p = ) + k ( ....... ), - k < 0 C C х Р a