B, C and F Blocks reviewed the concepts of torque, center of mass, moment of inertia and rotational equilibrium before moving on to Newton's 2nd Law for rotational motion and angular momentum. When working with N-2 for rotation, the relationships between the variables are the same as for plain ol' vanilla N-2. Net torque is directly proportional to angular acceleration and inversely proportional to moment of inertia:
For angular momentum, again, the concept is analogous to translational momentum and the formula is a one-for-one substitution when scripting an expression for angular momentum:
And, yes, angular momentum is conserved in the absence of external torque and we discussed the example of the ice skater going into a spin by bringing in their arms to lower their moment of inertia (to raise angular speed) and also collected data using the rotary motion sensor to verify that conservation of angular moment is a valid idea.
E Block discussed the concept of rotational equilibrium. Extended objects can be analyzed in terms of translation and/or rotational equilibrium and we examined some problems that used both conditions of equilibrium to assess the magnitude of forces acting on systems. We'll go over these problems tomorrow before moving on to Newton's 2nd Law for rotational motion and angular momentum.
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