Question $4.$

$4\mathrm{.}1$ Refer to figure $3$ in the addendum that shows the setup of a cutting tool holder of a shaping machine. The ram of the shaping machine has a mass of $100$ kg and is in operation with a cutting stroke length of $250$ mm $.$ The total work done during one cutting stroke is equal to $125$ J and the coefficient of friction between the ram and the slides is $0,2.$

Calculate:

$4\mathrm{.}1\mathrm{.}1$ The work done to overcome the friction between the ram and the slides.

$(3)$

$4\mathrm{.}1\mathrm{.}2$ The cutting force exerted on the cutting tool.

$(3)$

$4\mathrm{.}1\mathrm{.}3$ The force exerted on the two$-$contact points A and $B,$ if the clamping force in the clamping screw is $1000$ N $.$

$(8)$

Total: $14$ marks

Figure $3$