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GATE Mechanical 2023 | Question: 35

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A $\text{CNC}$ machine has one of its linear positioning axes as shown in the figure, consisting of a motor rotating a lead screw, which in turn moves a nut horizontally on which a table is mounted. The motor moves in discrete rotational steps of $50$ steps per revolution. The pitch of the screw is $5 \mathrm{~mm}$ and the total horizontal traverse length of the table is $100 \mathrm{~mm}$. What is the total number of controllable locations at which the table can be positioned on this axis?
 

  1. $5000$
  2. $2$
  3. $1000$
  4. $500$
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