Question: An L-shaped massless rigid member with a mass m at the tip and supported by a spring of stiffness k is hinged at point 0, as shown in Fig. It is required to:
(a) Derive the equation for the angular motion 6(r) about 0.
(b) Determine the equilibrium angle Os.
(c) Derive the differential equation for small angular motions Or (t) about Be.
(d) Determine the height H for which the system becomes unstable.