Table 1 Definitions of physical parameters.
From: Dynamic balance of circles with one support point on pommel horse exercise
Symbol | Description | Value |
|---|---|---|
H | Body height | Directly given (m) |
\(W_\text{BMI}\) | Body mass index | 22 (for \(H \ge 1.5\)), \(30(H-1.3) + 16\) (for \(H<1.5\)) |
m | Body weight | \(H^2 \times W_\text{BMI}\) (kg) |
\(\bar{\varvec{I}}\) | Inertial tensor about center-of-mass | \(\text{diag} (\bar{I}_x, \bar{I}_y, \bar{I}_z )\) \(\mathrm (kg \cdot m^2)\) |
| Â | Â | \(\bar{I}_x= \bar{I}_z = 2.42 H^2 + 0.126 m - 4.33\), \(\bar{I}_y = \bar{I}_x/12\) (longitudinal axis) |
\(\ell _\text{HS}\) | Distance between wrist and shoulder | \((0.186+0.146) H\) (m) |
\(\ell _\text{SG}\) | Distance between shoulder and CoM | \((0.818-0.56) H\) (m) |
\(\ell _\text{GA}\) | Distance between CoM and ankle | \((0.56-0.039) H\) (m) |
\(\ell _\text{GT}\) | Distance between CoM and toe | \((0.56+0.091) H\) (m) |
