Good question


threads of lengths h1 ,h2 and h3 are fastened to the vertices of a homogenous triangular plate of weight W
The other ends are fastened to a common point,as shown in the figure
What is the tension in each thread, expressed in the given terms?
I ve almost solved it but coudnt get the answer

13 Answers

1
Rohan Ghosh ·

I,m just getting

T1/H1=T2/H2=T3/H3=W/3A
by applying vector method

where A distance of centre of mass from hinge

the problem is that i am not able to express A in terms of the given quantities

can anybody help?

1
ith_power ·

suppose hinge as origin..
then pos. vector of three pts. H1,H2,H3 ISN'T A=(H1+H2+H3)/3??

1
skygirl ·

is the plate equilateral???

1
Rohan Ghosh ·

no its not of any specific type

1
Rohan Ghosh ·

ith power what if a= h1+h2+h3/3

it is only in the vector form
we cant write the answer in that form

1
chethannt.chetha ·

i dont know

9
Celestine preetham ·

rohan
i got the same ans u got
and its the right ans
considering hinge as O
you would ve got Σy=0 ,Σx=0,Σz=3A

co ordinates x,y,z have infinite solutions
hence Σz isnt a constant
but the proportionality holds true always

1
Rohan Ghosh ·

so it means the ans should be in the vector form

9
Celestine preetham ·

i dint understand wat u said just now
can u be specific

1
Rohan Ghosh ·

didnt u get the result

A->=(H1->+H2->+H3->)/3

9
Celestine preetham ·

yes i got a more specific one that

Σy=0 ,Σx=0,Σz=3A

implying A vector to be along z axis

9
Celestine preetham ·

yes i got a more specific one that

Σy=0 ,Σx=0,Σz=3A

implying A vector to be along z axis

1
Rohan Ghosh ·

oh i din see that u had already written the same result anyway

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