Finding Torque with axial force applied?

For finding the force rotating a pencil (Torque) while it is pushed against a surface, how much torque force is required (T) when the pencil is being pushed against a wall with force F. Should the friction come into play here with the wall?

I've drawn a 3D diagram to illustrate. What is the best approach here for solving? Is this a type of force free body diagram problem?

https://imgur.com/a/Sn0Yac4

submitted by /u/babaflowflee
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