Torque = Lever Arm X Force %3D

A 15.7-N force is applied to a cord wrapped around a pulley of mass M = 3.63-kg and radius R = 22.5-cm The pulley accelerates uniformly from rest to an angular speed of 25.8 rad/s in 4.92-s. If there is a frictional torque  = 1.31-mN at the axle,  (a) determine the moment of inertia of the pulley, (b) determine the rough estimate of the moment of inertia. (The pulley rotates about its center)   What is the difference be (a) and (b)?   (5) identical  18.1-gram masses are 10.7-cm from an axis of rotation and rotating at 102-revolutions per minute. What is the moment of inertia of the 5-object system?  (The strings holding the masses are of negligible mass)   (5) identical  23.3-gram masses are 8.1-cm from an axis of rotation and rotating at 127-revolutions per minute. What is the Rotational Kinetic Energy?  (The strings holding the masses are of negligible mass)   What will be the speed of a solid sphere of mass 8.03-kg and radius 12.4-cm when it reaches the bottom of an incline if it…

Torque can be calculated by multiplying the force (N) applied at 90 ∘to the lever arm at a distance (m) from the pivot point (point of rotation), the compound SI unit for the torque is N⋅m. If the force (at 90 ∘to the lever arm) applied is 15 Nand it is applied at 2.0 mfrom the pivot point (point of rotation), what is the torque on the lever?

If my cat pulls a rope attached to the wall with 100N, and it is .5m long, and .3kg, what torque does the wall withstand?