The descending pulley shown in the figure has a radius 20 cm and moment of inertia 0.20 kg-m^2 . The fixed pulley is light and the horizontal plane frictionless. Find the acceleration of the block if its mass is 1.0 kg .

Correct answer: A. 10 m/s^2 Apply Newton's second law to the block and rotational dynamics to the descending pulley. Using = Iα with α = a/r and the string constraint, the acceleration evaluates to 10 m/s^2 .

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

The descending pulley shown in the figure has a radius 20 cm and...

The descending pulley shown in the figure has a radius

20 \text{ cm}

and moment of inertia

0.20 \text{ kg-m}^2

. The fixed pulley is light and the horizontal plane frictionless. Find the acceleration of the block if its mass is

1.0 \text{ kg}

The descending pulley shown in the figure has a radius 20 cm and moment of inertia 0.20 kg-m^2 . The fixed pulley is

Options

A $10 \text{ m/s}^2$
B $5 \text{ m/s}^2$
C $8 \text{ m/s}^2$
D $12 \text{ m/s}^2$

Correct answer

A. $10 \text{ m/s}^2$

Step-by-step solution

Apply Newton's second law to the block and rotational dynamics to the descending pulley. Using

\tau = I\alpha

with

\alpha = a/r

and the string constraint, the acceleration evaluates to

10 \text{ m/s}^2

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