A purchasing agent wants to order high accuracy$/$precision micrometers for use in the

metrology lab. He$/$she wants to buy lower cost micrometers that do not have a ratchet

stop. Steel parts that are ${0\mathrm{.}01}^{\text{'}\text{'}}{0\mathrm{.}01}^{\text{'}\text{'}}{1}^{\text{'}\text{'}}$ long are measured for length using

tolerances of $\frac{+}{-}110,{000}_{th}$ of an inch. Assuming that users can vary by $5$ lbs $-$force,

what deviation or error will result in the $1"$ dimension measurement for micrometer

not having a ratchet stop. Hint: assume that the micrometer jaws are rigid and the

workpiece has steel mechanical properties. Analyze the error using engineering

stress$/$strain calculations of $+-110,{000}^{th}($I$.$e$.0\mathrm{.}0001")$ of an inch. Assuming that users vary

by $5$ lbs$-$force, what deviation or error will result compared to a more expensive micrometer

having a ratchet stop. Hint: analyze this using engineering stress$/$strain calculations. Show

your calculations.