A Force $\overrightarrow{\mathbf{F}}$ Is Applied to a Cylindrical Roll of Paper of Radius

question 42

Multiple Choice

A force $\overrightarrow{\mathbf{F}}$ is applied to a cylindrical roll of paper of radius R and mass M by pulling on the paper as shown. The acceleration of the centre of mass of the roll of paper (when it rolls without slipping) is:

• A) \(\frac{1}{2} \frac{F}{M}\) .
• B) \(\frac{F}{M}\) .
• C) \(\frac{3}{2} \frac{F}{M}\) .
• D) \(\frac{4}{3} \frac{F}{M}\) .
• E) \(\frac{2 F}{M}\) .

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Definitions:

Trichomes

Hairlike outgrowths on the epidermis of plants that serve various functions, including defense against pests and protection from excessive transpiration.

Parenchyma

A type of plant tissue consisting of living cells that are often large and have various functions such as photosynthesis, storage, and secretion.

Collenchyma

A type of plant tissue that provides support, often found in areas of new growth, characterized by elongated cells with thickened cell walls.

Epidermis

The outermost layer of skin cells in animals or layer of cells in plants, serving as a protective barrier against environmental damage.