Question

from a mettalic plate which is a squareof side 10 cn a circular disc of diameter 3.5 cn is cutt off find tge weighr of the remaining part if 1sq cn of the plate weight 0.5 gm
​

Answer 1

ANSWER

REF.Image.

Area of square plate = d

2

So mass M

s

=pd

2

p = mass per unit area.

Area of circular dies = π(

2

d

)

2

=

4

πd

2

⇒ mass M

c

=P

4

nd

2

trations c as the origin the coordinate

of center of mass of the square plate

will be x

5

=0 & that for circular

disc will be x

c

=

2

3d

So coordinate of center of mass of system

will be X=

m

s

+M

c

m

s

x

s

+m

c

x

c

=

pd

2

+

4

πd

2

p

0+

4

pπd

2

2

3d

⇒X=

2(π+4)

3πd

from center of square plate

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