A Stone Is Released from Rest at a Height H $\sqrt { 2 }$

question 18

Multiple Choice

A stone is released from rest at a height h at the left side of a loop-the-loop, as shown in the figure. There is no appreciable friction from the track or from air resistance. If the radius of the loop is R, what is the minimum height h for which the stone will not fall off the track at the top of the loop?

• A)3.5 R
• B)2.5 R
• C)2.0 R
• D) \(\sqrt { 2 }\) R
• E)3.0 R

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Definitions:

Control Chart

A graphical tool used in process control to monitor, control, and improve the process performance over time by tracking data points against predetermined control limits.

Run Chart

A graph that displays observed data in a time sequence to identify any trends, shifts, or patterns.

Statistical Quality Control

The application of statistical methods and analyses to monitor and evaluate various aspects of product quality and manufacturing processes.

Process Capability Index

A statistical measure that quantifies how well a process is able to produce output within specified limits, often used in quality control.