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Kinetics of a Particle

An application of Newton's law will be illustated by solving the dynamics of the following system:

It is desired to find out the acceleration of 30 kg mass , when the chord is being pulled by (20×9.81) N force.

Sol:

We neglect friction and the mass of the pulley and make the free body diagram of 30 kg mass as well as the pulley attached with it. In that case, the tension everywhere in the chord is equal to the pull of (20×9.81) N.