Answer:
(a) [tex]\tau=40.32N\cdot m[/tex]
(b) [tex]\tau=34.92N\cdot m[/tex]
Explanation:
Torque is the ability of a force to change the state of rotation of the body around an axis that passes through a given point. Therefore, it is defined as:
[tex]\tau=Frsin\theta[/tex]
(a) In this case the angle between the force and the face of the door is [tex]90^\circ[/tex]:
[tex]\tau=(42N)(96*10^{-2}m)sin90^\circ\\\tau=40.32N\cdot m[/tex]
(b)
[tex]\tau=(42N)(96*10^{-2}m)sin60^\circ\\\tau=34.92N\cdot m[/tex]