A 375-G Stone Hangs from a Thin Light String That

question 88

Short Answer

A 375-g stone hangs from a thin light string that is wrapped around the circumference of a frictionless pulley with a moment of inertia of 0.0125 kg ∙ m² and a radius of 26 cm. When the stone is released, the stone accelerates downward and the pulley rotates about its axis as the string unwinds.
(a) What is the magnitude of the acceleration of the stone?
(b) What is the tension in the string?

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Definitions:

Negative Punishment

Stopping bad behavior by taking away something good; also known as a time-out.

Positive Reinforcement

Rewards or incentives for good behavior.

Negative Reinforcement

Rewards desired behavior by taking away something aversive.

Variable-Ratio Reinforcement

Giving out a reward after a random number of behaviors.