| Problem statement Solution video |
DISCUSSION THREAD
Any questions??
Discussion and hints:
Your first decision on this problem is to choose your observer. Since an observer on the plate will have the simplest view of the motion of the insect, attaching the observer to the plate is recommended. Also, attach your xyz-axes to the plate.
Next write down the angular velocity and angular acceleration of the plate. Based on what we have been doing up to this point in Chapter 3, hopefully it is clear that the plate (and observer) has two components of angular velocity: Ω about the fixed X-axis and θ_dot about the moving z-axis. Take a time derivative of the angular velocity vector to find the angular acceleration of the plate (observer).
Following that, determine the motion of the insect as seen by the observer on the plate.
Use these results with the moving reference frame kinematics equation to determine the velocity and acceleration of the insect.
Is it safe to assume that k and K are in the same direction when the bug makes it to the edge of the plate?
Yes, that would work.
Is it okay to wrote out what we are going to do conceptually (i.e. the equation), then immediately plug in numbers for the cross product calculations? It seems easier to avoid cross product errors with this.
Yes, that is fine.