Problem 7.122 Challenge

กำหนดให้ \(a = 2.00 m/s^{2}, ω_{0} = 0 rad/s\) และ \(θ = \frac{\pi}{2}\)

จาก \(\Sigma \vec{F} = m\vec{a}\)

\(\mu mg = m\sqrt{a_{t}^{2}+a_{r}^{2}}\)

\(\mu g =\sqrt{a^{2} + (\omega ^{2}r)^{2}}\)

\(\mu g =\sqrt{a^{2} + ((\omega _{0}^{2} + 2\alpha ·\theta )r)^{2}}\)

\(\mu g =\sqrt{a^{2} + ((\omega _{0}^{2}r + 2(\alpha r)\theta )^{2}}\)

\(\mu g =\sqrt{a^{2} + ((\omega _{0}^{2}r + 2a\theta )^{2}}; \omega _{0} = 0\)

\(\mu g =\sqrt{a^{2} + (2a\theta )^{2}}\)

\(\mu g = a\sqrt{1 + (2\theta )^{2}}\)

\(\mu =\frac{a1 + (2\theta )^{2}}{g}\)

\(\mu = 0.673\)