Question #276918

A particle A of mass m moves on a smooth horizontal table and is connected by a light

inextensible string passing through a smooth hole O in the table to a particle B of the

same mas; m, which moves along the vertical through O. Initially B is at rest and a is the

distance from A to O, moving with velocity sqrtga/3sqrt{ga/3} perpendicular to O A.

What is the kinetic energy of the system?


1
Expert's answer
2021-12-07T20:11:09-0500

E=E1+E22,E=\frac{E_1+E_2}2,

E1=mga,E_1=mga,

E2=mv22,E_2=\frac{mv^2}2,

E=mga2+mga12.E=\frac{mga}2+m\sqrt{\frac{ga}{12}}.


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