A Small Disk of Radius R₁ Is Fastened Coaxially to a Larger

question 67

Multiple Choice

A small disk of radius R₁ is fastened coaxially to a larger disk of radius R₂.The combination is free to rotate on a fixed axle, which is perpendicular to a horizontal frictionless table top, as shown in the overhead view below.The rotational inertia of the combination is I.A string is wrapped around the larger disk and attached to a block of mass m, on the table.Another string is wrapped around the smaller disk and is pulled with a force as shown.The tension in the string pulling the block is:

• A)R₁F/R₂
• B)mR₁R₂F/(I - mR₂²)
• C)mR₁R₂F/(I + mR₂²)
• D)mR₁R₂F/(I - mR₁R₂)
• E)mR₁R₂F/(I + mR₁R₂)

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Definitions:

Semicircular Canals

Structures located in the inner ear that are critical for maintaining balance and spatial orientation by detecting rotational movements.

Vestibular Sacs

Structures within the inner ear involved in the sense of balance, helping to detect changes in the position of the head.

Inner Ear

The innermost part of the ear, containing the cochlea, vestibule, and semicircular canals, which is essential for hearing and balance.

Frequency Theory

A theory explaining the perception of pitch that asserts neurons fire at the same rate as the frequency of an auditory stimulus.