Find the Mass and the Center of Mass of the Lamina

question 80

Multiple Choice

Find the mass and the center of mass of the lamina occupying the region $R$ , where $R$ is the triangular region with vertices $( 0,0 ) , ( 5,2 )$ , and $( 10,0 )$ , and having the mass density $\rho ( x , y ) = x$ .

• A)
• \[m = 50 , ( \bar { x } , \bar { y } ) = \left( \frac { 2 } { 3 } , \frac { 35 } { 6 } \right)\]
• B)
• \[m = 10 , ( \bar { x } , \bar { y } ) = \left( \frac { 2 } { 3 } , \frac { 35 } { 6 } \right)\]
• C)
• \[m = 10 , ( \bar { x } , \bar { y } ) = \left( \frac { 35 } { 6 } , \frac { 2 } { 3 } \right)\]
• D)
• \[m = 50 , ( \bar { x } , \bar { y } ) = \left( \frac { 35 } { 6 } , \frac { 2 } { 3 } \right)\]

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Definitions:

Normality

A statistical assumption that a dataset is normally distributed, with most data points clustering around the mean.

Attendance Policy

Guidelines or rules set by an organization outlining expectations and consequences related to attendance.

Registered Students

Individuals who have completed the enrollment process and have been officially added to the roster of participants in a course or program.

LCL

Lower control limit, a statistical measure used in quality control processes to indicate when a process is becoming out of control on the low side.