A Hoop with a Mass of 2 $25 ^ { \circ }$

question 69

Multiple Choice

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts down a ramp that makes an angle of 2 $25 ^ { \circ }$ below the horizontal. What is the
Forward speed of the hoop after it has rolled 3.0 m down as measured along the surface of the
Ramp?

• A) 5.7 m/s
• B) 6.3 m/s
• C) 4.9 m/s
• D) 8.0 m/s
• E) 5.2 m/s

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Definitions:

Pitch Diameter

The effective diameter of a screw thread, halfway between the major and minor diameters, crucial for thread engagement and measurement.

Diametral Pitch

The ratio of the number of teeth to the pitch diameter of a gear, indicating how densely the teeth are packed.

Chordal Thickness

A measurement of the thickness of an object at the midpoint of a chord, often used in reference to circular objects to specify a specific section's thickness.

Diametral Pitch

A measure of the fineness of a gear, computed as the number of teeth per unit diameter.