A 375-G Stone Hangs from a Thin Light String That $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

question 31

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 $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ 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:

Accumulated Depreciation

The total amount of depreciation expense that has been recorded for an asset over its useful life, reducing its initial cost to its current book value.

Book Value

The value of an asset as recorded on a company's balance sheet, calculated as its cost minus accumulated depreciation.

Adjusting Entry

An accounting journal entry made to update the accounts and reflect the correct financial position before financial statements are prepared.

Liability Account

An account on the balance sheet that represents obligations to pay debts or amounts owing to lenders, suppliers, employees, or other creditors.