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Two identical masses are attached to frictionless pulleys by very light strings wrapped around the rim of the pulley and are released from rest. Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop. As the masses fall, in which case is the tension in the string greater, or is it the same in both cases? explain the answer

Respuesta :

onyebuchinnaji

The solid mass will create the most tension in the string due to its greater rotational kinetic energy.

Rotational kinetic energy of the masses

The rotational kinetic energy of the identical masses will determine which will create the most tension in the string.

K.E(rot) = ¹/₂Iω²

where;

  • I is moment of inertia of each mass

Moment of inertia of each mass

Moment of inertia of solid sphere = ²/₅mR²

Moment of inertia of a hoop = ¹/₂mR²

The moment of inertia of solid sphere is greater than the hoop, thus the solid mass will create the most tension in the string.

Learn more about moment of inertia here: https://brainly.com/question/14460640

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