Grade 11Mechanics

A uniform rod of mass m and length l is bend to form A right angled triangle as shown in figure locate the centre of mass of rod

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Jayesh

9 Years agoGrade 11

1 Answer

Vikas TU

9 Years ago

As the rod is uniform and the three sides of triangle contributes the total length.

that is to say that ------->

let suppose the sides be x and y respectively.

x + y + root(x^2 + y^2) = l …..........(1)

and from geometry,

1/root3 = x/y

y = root3 * x...............(2)

solve both eqns first and write x and y first in terms of l.

then suppose taking origin at B point we will write their x and y axis com.

thus,

com for AB rod = > (0,x/2)

com for BC rod = > (y/2,0)

com for rod AC = > (find its coordinates at half of root(x^2 + y^2)

Then apply the formulae:

Xcom =(m*x1 + m*x2)/(total mass)

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A uniform rod of mass m and length l is bend to form A right angled triangle as shown in figure locate the centre of mass of rod

Jayesh

1 Answer

Vikas TU

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