The velocity of the 8-kg cylinder is 0.3 m∕s at a certain instant. The speed v after dropping an additional 1.5 m is 2.5 m/s. The mass of the grooved drum is 12 kg, its centroidal radius of gyration is k = 210 mm, and the radius of its groove is ri = 200 mm. The frictional moment at O is a constant 3 N∙m. Find the frictional force.

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Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.