A Solid Disk (I_cm = MR²) Rolls Without Slipping $\theta$

question 78

Multiple Choice

A solid disk (I_cm = mR²) rolls without slipping up a plane a distance s. The plane is inclined at an angle $\theta$ with the horizontal. The disk has mass m, radius R, and an initial translational speed v. The distance s the disk rolls is

• A) v²/(g sin \(\theta\))
• B) v²/(g sin \(\theta\))
• C) Rv/(g sin \(\theta\))
• D) mg(sin \(\theta\) - cos \(\theta\))(Rv)²
• E) v²/(g sin \(\theta\))

---

Definitions:

Regression Method

A statistical approach for determining the relationship between a dependent variable and one or more independent variables.

Industrial Lathe Sales

The total revenue or the number of transactions related to the sale of industrial lathes, which are machine tools used for shaping materials.

MAD

An abbreviation for Mean Absolute Deviation, which measures the average of the absolute deviations from the mean in a data set.

Double Exponential Smoothing

A forecasting technique that applies two levels of exponential smoothing to capture both the level and trend of a time series data.