# Homework H3.J - Fa22

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 you 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.

## 3 thoughts on “Homework H3.J - Fa22”

1. skfree says:

Can we assume that the shaft is very thin so v_O would be zero? If the shaft had a non-negligible radius, v_O would have both velocity and acceleration, right?

1. Katherine says:

I just said that v_o was zero because it's the center of the rotating plate, but that's an interesting thought... I think that makes sense because it does say that O is on the shaft and not the plate.

2. Serigne Babacar Diagne says:

Should we assume that the radius of the shaft is negligible ?