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Grade: Upto college level

                        

A thin uniform wire is bent to form the two equal sides AB and AC of the triangle ABC ,where AB=AC=5cm.The third side BC=6cm, is made from uniform wire oftwice the density of the first but hte thickness of BC is same as that of AB and AC. Find the distance of the centre of mass from A.

11 years ago

Answers : (1)

Ramesh V
70 Points
							

The three rods form a triangle as shown below:


4102-1553_5850_untitled.JPG

weight is concentraed at centre of each rod

let mass of AB=AC=d.5.A ,its C.O.M are (4.5 , 2) and (1.5 , 2)

let mass of BC=2d.6.A ,its C.O.M are (3 , 0)

COMx = (5*4.5 +5*1.5+3*12)/(5+5+12) = 3

COMy = (5*2 +5*2+0*12)/(5+5+12) = 0.91

distance P(3 , 0.91) and A(3 , 4) is 3.09m

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Regards,
Ramesh
IIT Kgp - 05 batch




11 years ago
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