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A semicircular plate rests on the x-axis, between x = -2 and x =-(Answered)

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Question

A semicircular plate rests on the x-axis, between x = -2 and x = 2.? Assuming that the density of the plate varies with a continuous mass-density function given by
1

 


 

Mass=

 


 

? ( 1+ y ) dy

 

?1

 


 

=

 


 

[ ]

 

y+

 


 

y2

 

2

 


 

?1+

 

=

 


 

1

 

2

 


 

(1+ 12 )??

 

?

 


 

=

 


 

([ 1 12 )+ 12 ]

 


 

= 2 Gram

 


 

 

Paper#9209063 | Written in 27-Jul-2016

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