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Three identical rods, each of length , are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the triangle is

a)

b)

c)

d)



Question ID - 52755 | SaraNextGen Top Answer

Three identical rods, each of length , are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the triangle is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

The radius of gyration is the distance from the                  

axis of rotation at which if whole mass of the

body is supposed to be concentrated.

Here, the whole mass of the equilateral triangle

acts  at point . So the distance  is the radius of gyration of

this system. Now from triangle

or     

or      

or       

Hence, the distance,

But, the distances  are the same.

So,          

Hence, the radius of gyration of this system is .

127 votes


127