and dropping the factor sin θ,
Aμ2 cos θ − G′μ + gMh = 0, or Aμ2 cos θ − CRμ + An2 = 0,
(5)
the condition for steady motion.
Solving this as a quadratic in μ, the roots μ1, μ2 are given by
| μ1, μ2 = | G′ | sec θ [1 ± √ (1 − | 4A2n2 | cos θ) ]; |
| 2A | G′2 |
(6)
and the minimum value of G′ = CR for real values of μ is given by
| G′2 | = cos θ, | CR | 2√(cos θ); |
| 4A2n2 | An |
(7)