Question

Xh MH txs F[e] Ms F[e] KH KH KB KB M MB Brain Skull Helmet B Obtain the equations of motion for the model of head and helmet dynamics, where the force $F(t) = \text{Real}[Ae^{j\omega t}]$ can be delivered to (a) the head directly if the helmet is removed, or (b) to the helmet. (a) Specifically, for the case of no helmet, fill in the ? in the following matrix form of the equations: $\begin{bmatrix} ? & ? \\ ? & ? \end{bmatrix} \begin{bmatrix} x_B \\ x_S \end{bmatrix} = \begin{bmatrix} ? \\ ? \end{bmatrix}$ (b) Specifically, for the case with a helmet, fill in the ? in the following matrix form of the equations: $\begin{bmatrix} ? & ? & 0 \\ ? & ? & ? \\ 0 & ? & ? \end{bmatrix} \begin{bmatrix} x_B \\ x_S \\ x_H \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}$

          Xh
MH
txs
F[e]
Ms
F[e]
KH
KH
KB
KB
M
MB
Brain
Skull Helmet
B
Obtain the equations of motion for the model of head and helmet dynamics, where the force $F(t) = \text{Real}[Ae^{j\omega t}]$ can be delivered to (a) the head directly if the helmet is removed, or (b) to the helmet.
(a) Specifically, for the case of no helmet, fill in the ? in the following matrix form of the equations:
$\begin{bmatrix} ? & ? \\ ? & ? \end{bmatrix} \begin{bmatrix} x_B \\ x_S \end{bmatrix} = \begin{bmatrix} ? \\ ? \end{bmatrix}$
(b) Specifically, for the case with a helmet, fill in the ? in the following matrix form of the equations:
$\begin{bmatrix} ? & ? & 0 \\ ? & ? & ? \\ 0 & ? & ? \end{bmatrix} \begin{bmatrix} x_B \\ x_S \\ x_H \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}$

Xh
MH
txs
F[e]
Ms
F[e]
KH
KH
KB
KB
M
MB
Brain
Skull Helmet
B
Obtain the equations of motion for the model of head and helmet dynamics, where the force F(t) = Real[Ae^jω t] can be delivered to (a) the head directly if the helmet is removed, or (b) to the helmet.
(a) Specifically, for the case of no helmet, fill in the ? in the following matrix form of the equations:
< b m a t r i x >

< b m a t r i x >
=
< b m a t r i x >
(b) Specifically, for the case with a helmet, fill in the ? in the following matrix form of the equations:
< b m a t r i x >

< b m a t r i x >
=
< b m a t r i x >

Added by Rachel H.

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