Situation $3-$ A $200-$

mm $-$diameter

pulley

is

prevented from

rotating relative to

$60-$mm$-$diameter

shaft by a $70-mm-$

long key, as shown

in the figure.

Given: $a=70mm$;

$c=10mm$

If the torque $T=2\mathrm{.}2kN-m,$ determine the shearing force $($ kN $)$ applied

in the key.

A$.11\mathrm{.}00$

B$.22\mathrm{.}00$

C$.36\mathrm{.}67$

D$.73\mathrm{.}33$

If the torque $T=2\mathrm{.}2kN-m,$ determine the required smallest width

$($mm$)"$b$"$ if the allowable shearing stress in the key is $60$ MPa $.$

A$.15$

B$.18$

C$.20$

D$.24$

If $b=15mm$ and the allowable shearing stress in the key is $50$ MPa $.,$

what is the largest magnitude of torque $(kN-m)$ can be applied in the

shaft?

A$.1\mathrm{.}57$

B$.1\mathrm{.}79$

C$.1\mathrm{.}65$

D$.1\mathrm{.}25$