Section 12.4 The Rotational Law of Motion
Since a rigid object undergoes both translational and rotational motion, it is important to be able to relate the various forces acting on an object to each kind of motion. This is done by creating an angular analogue of The Law of Motion.
The angular acceleration introduced in Section 11.5 is the angular analogue for the translational acceleration. The moment of inertia is the angular analogue for mass, which you will study in more detail in upcoming sections. The net torque is a direct analogue to the net force: you can find it by determining the vector sum of all torques acting on a system.
Definition 12.4.2. Net torque.
Exercises The Catapult
Recall Figure 12.2.3, for which you previously drew an extended free-body diagram and found the torque exerted by each force.
1.
Use your previous answers along with the Rotational Law of Motion to determine the relationship between and that will allow the catapult to launch the rock.