Two Blocks, M₁ = 1

question 8

Multiple Choice

Two blocks, m₁ = 1.0 kg and m₂ = 2.0 kg, are connected by a light string as shown in the figure. If the radius of the pulley is 1.0 m and its moment of inertia is 5.0 kg⋅m², the acceleration of the system is

• A) (1/6)g
• B) (3/8)g
• C) (1/8)g
• D) (1/2)g
• E) (5/8)g

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Definitions:

Modus Tollens (MT)

A form of logical argument where the denial of the consequent leads to the denial of the antecedent.

Simplification (Simp)

A logical operation that breaks down complex arguments or propositions into simpler components.

Modus Ponens (MP)

A form of valid argument in deductive logic that, if a given premise is true ('if P then Q'), and the antecedent (P) is also true, then the consequent (Q) must be true.

Universal Generalization (UG)

A principle in logic where a statement applies to all members of a category or class.