Find the Mass and the Center of Mass of the Lamina

question 50

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 $( 0,0 ) \text {, }$ $( 2,5 )$ and $( 4,0 )$ , and having the mass density $\rho ( x , y ) = x$

• A) \(m =\) \(25\) , \(( \bar { x } , \bar { y } ) = \left( \frac { 7 } { 3 } , \frac { 5 } { 3 } \right)\)
• B) \(m = 20\) , \(( \bar { x } , \bar { y } ) = \left( \frac { 7 } { 3 } , \frac { 5 } { 3 } \right)\)
• C) \(m =\) \(25\) , \(( \bar { x } , \bar { y } ) = \left( \frac { 5 } { 3 } , \frac { 7 } { 3 } \right)\)
• D) \[m = 20\] , \(( \bar { x } , \bar { y } ) = \left( \frac { 5 } { 3 } , \frac { 7 } { 3 } \right)\)

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Definitions:

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists in the population from which a sample is drawn.

Number of Groups

Refers to the count of distinct categories or clusters into which data points or subjects are classified.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, and any observed difference is due to sampling or experimental error.

Number of Groups

The number of groups refers to the distinct categories or divisions within a dataset, often used in statistical analysis to compare and analyze differences.