A Solid Cylinder of Mass 3 $\degree$ , and Rolls to the Bottom Without Slipping

question 46

Multiple Choice

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15 $\degree$ , and rolls to the bottom without slipping. (For a cylinder I = 0.5MR².) The upper end of the ramp is 1.5 m higher than the lower end. Find the linear speed of the cylinder when it reaches the bottom of the ramp. (g = 9.8 m/s²)

• A) 4.7 m/s
• B) 4.4 m/s
• C) 4.0 m/s
• D) 2.4 m/s

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Definitions:

Vertical Asymptote

A vertical line that a graph approaches but never touches or crosses, indicating that the function approaches infinity or negative infinity as it gets close to the line.

Domain

In mathematics, it refers to all possible values of the independent variable of a function.

Logarithm

The exponent by which a base must be raised to produce a given number.

Properties

Characteristics or rules that define mathematical operations.