Question $2$: Simple Machines$/$Power Trains

$2\mathrm{.}1.$Fig. Q$2\mathrm{.}1$ shows pulley arrangements $($a$),($b$),($c$),($d$)$ and $($e$)$ used to lift a load of $80$ kg mass.

$2\mathrm{.}1\mathrm{.}1.$ Determine the amount of force in Newtons $(N)$ that should be applied to lift the load in each arrangement.

$(15$ marks$)$

$2\mathrm{.}1\mathrm{.}2.$ How many ropes would be enough to give an effort of $1000$ N $?$

$(4$ marks$)$

rig. Q$2.1$ runey arrangement

$2\mathrm{.}2.$ Given a gear box in Fig.Q$2\mathrm{.}2,$ coupled with a motor at the input shaft and the required output rotational speed is $300$ rpm $.$ The main shaft is supported on bearings C and D and turns freely.

$2\mathrm{.}2\mathrm{.}1.$ At what rotational speed must the motor at the input shaft rotate? $(8$ marks$)$

$2\mathrm{.}2\mathrm{.}2.$ If the output shaft is required to rotate clockwise, in which direction is the motor supposed rotate? Motivate your answer.

$(3$ marks$)$

$[30$ Marks$]$