An inelastic rod OM, with length 1 And its mass is neglected, carrying at the end a particle of mass m «The rod can rotate freely in the vertical plane ( xOz ) around ( Oy ) at fixed point O. The rod is pushed away from its equilibrium position ( 0 = 0 ) as the figue showin , In addition to the force of gravity g and the tensile force T of the rod . A particle is subjected to frictional force F Proportional to its velocity V. (f=- µV). The Question is : If we assume that the angle of displacement is small ( sin 0 ×0 ) and that the coefficient of friction ( u = 0 ) show that the differential equation is ( Ö + w² 0 = 0 ) then deduce w. and what is the type of the motion in this case ?

An inelastic rod OM, with length 1 And its mass is neglected, carrying at the end a particle of mass m «The rod can rotate freely in the vertical plane ( xOz ) around ( Oy ) at fixed point O. The rod is pushed away from its equilibrium position ( 0 = 0 ) as the figue showin , In addition to the force of gravity g and the tensile force T of the rod . A particle is subjected to frictional force F Proportional to its velocity V. (f=- µV). The Question is : If we assume that the angle of displacement is small ( sin 0 ×0 ) and that the coefficient of friction ( u = 0 ) show that the differential equation is ( Ö + w² 0 = 0 ) then deduce w. and what is the type of the motion in this case ?