A 10 Foot Chain of Weight Density 2 Pounds Per $x ( t )$

question 32

Multiple Choice

A 10 foot chain of weight density 2 pounds per foot is coiled on the ground. One end is pulled upward by a force of 10 pounds. The correct differential equation for the height, $x ( t )$ , of the end of the chain above the ground at time $t$ is

• A) \(x \frac { d x } { d t } \frac { d ^ { 2 } x } { d t ^ { 2 } } + \frac { d x ^ { 2 } } { d t } + 32 x = 160\)
• B) \(\frac { d x } { d t } \frac { d ^ { 2 } x } { d t ^ { 2 } } + \frac { d x ^ { 2 } } { d t } + 32 x = 160\)
• C) \(x \frac { d ^ { 2 } x } { d t ^ { 2 } } + \frac { d x ^ { 2 } } { d t } + 32 x = 160\)
• D) \(x \frac { d x } { d t } \frac { d ^ { 2 } x } { d t ^ { 2 } } + \frac { d x } { d t } + 32 x = 160\)
• E) \(x \frac { d x } { d t } \frac { d ^ { 2 } x } { d t ^ { 2 } } + \frac { d x ^ { 2 } } { d t } = 160\)

Learn the importance of dissenting opinions in preventing groupthink and enhancing critical thinking within groups.

Understand the distinctions between indirect costs and direct costs in project budgeting.

Distinguish between formative evaluations and summative evaluations in project assessment.

Interpret common acronyms used in project proposals, such as RFP and IFB.

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Definitions:

Experimental Group

The group in an experiment that receives the variable being tested, as opposed to the control group, which does not.

Dependent Variable

This is the variable in experimental research that is expected to change as a result of manipulations to the independent variable.

Random Assignment

A method used in experiments to place participants into either a control or experimental group, ensuring that each has an equal chance of being assigned to any given group.

Blind Observations

Observational research in which the observers are unaware of the subjects' conditions or the outcomes expected by the researchers, to prevent bias.