Step 1: Understand the basic working principles of each machine tool.
Lathe Machine: In a lathe, the workpiece rotates about a horizontal axis, and the cutting tool is typically fed linearly (horizontally or along the axis of rotation) to remove material. The primary motion of the workpiece is rotary, and the cutting tool's motion is translational.
Slotting Machine: A slotting machine is essentially a vertical shaper. The workpiece is usually held stationary on a table, and the cutting tool, held in a ram, moves in a vertical reciprocating motion to remove material. The table can provide feed motion in either the horizontal or rotary direction.
Shaper Machine: In a shaper, the workpiece is held stationary on a table, and the single-point cutting tool is mounted on a ram that moves in a horizontal reciprocating motion to remove material. The table feeds the workpiece perpendicular to the ram's motion after each cutting stroke.
Planer Machine: A planer is used for machining large and heavy workpieces. The workpiece is mounted on a table that moves in a horizontal reciprocating motion past one or more stationary cutting tools.
Step 2: Identify the machine tool with a vertical reciprocating cutting tool motion.
Based on the descriptions above, the cutting tool in a slotting machine moves in a vertical reciprocating motion.
Step 3: Match the motion with the correct machine tool.
The question specifically asks for a machine tool where the cutting tool has a vertical reciprocating motion. This is characteristic of the slotting machine.