Question

ht
2.
From a rectangular plate of dimensions /
* b, a rectangle of dimensions ; x is
removed. The remaining portion is shown
in the figure. The coordinates of the COM
of this remaining portion are
y
b​

Answer 1

Answer:

ANSWER

Centre of mass is at O(0,0) (Ref. image 1)

When are rectangle of

2

a

×

2

b

is removed

Let's assume each rectangle has mass m (Ref. image 2)

Plate 1 has COM(−

4

a

,

4

b

)

Plate 2 has COM(−

4

a

,

4

b

)

Plate 3 has COM(−

4

a

,−

4

b

)

Now COM of this whole plate is at O

′

(x,y)

X=

m+m+m

m(−

4

a

)+m(

4

a

)+m(

4

a

)

=

6

a

y=

m+m+m

m(−

4

b

)+m(

4

b

)+m(−

4

b

)

=

6

b

O

′

(

6

a

,

6

b

)

solution

Explanation:

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