ON THE DYNAMICS OF AN ELASTIC MATHEMATICAL PENDULUM WITH A MOVABLE SUSPENSION POINT

Stefan Bachvarov; Vassil Zlatanov; Snejana Atanasova

Scientific paper ID 770 : 2013/1

ON THE DYNAMICS OF AN ELASTIC MATHEMATICAL PENDULUM WITH A MOVABLE SUSPENSION POINT

Stefan Bachvarov1 , Vassil Zlatanov2 , Snejana Atanasova2

The present paper treats an elastic mathematical pendulum with a movable suspension point. The load, which is taken as a point mass, is suspended with a homogeneous, elastic, massless string. The suspension point is fixed at center of a homogeneous disc, which rolls without slipping along a horizontal plane. The disc models a mechanism for moving in a stationary regime of motion. Non-linear mechanics is used to determine the law of motion of the elastic mathematical pendulum and the dynamic loading of the flexible cable.

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Еластично математично махало аналитични методи. Elastic mathematical pendulum analytical methods.Stefan Bachvarov Vassil Zlatanov Snejana Atanasova

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