A right$-$angle rod OAB $($assumed massless$)$ carries a point mass m and is supported by a linear spring $($stiffness k$)$ and a torsional spring $($stiffness kT$).$When $0$ is zero, the system is in static equilibrium and the initial torque applied by the torsional spring balances the moment due to mg$.$ The springk at point $4$ is upstretched at $0=0.$Lh$1.$ What is the mass moment of inertia of point mass m about the axis of rotation through point O$?2.$ Draw the free body diagram in the disturbed position $($as shown$)$ for small e$3.$ Find the equation of motion for small $0($Youcan use either Newton's $2$nd Law or energy method. Hint: when you u you may want to do a static analysis first.$)4.$ What is the condition so that the system will oscillate about the $0=0$