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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: from mechanics 1{dc pandey} do help
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destinationIIT09 (329)

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find the maximum speed at which a truck can safely travel without toppling over,on a curve of radius 250m.the height of centre of gravity of  the truck above the ground is 1.5 m and the distance b/w two wheels is 1.5m,the truck being horizontal?

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
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unconventional;thats me
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elastiboysai (2327)

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elastiboysai (2327)

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r u sure
i am still getting somthing different
35m/s
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destinationIIT09 (329)

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i got d solution now buddy{woke up a friend latenight}
he told the solution as,
v= (gra /h)^1/2
 
where a=( distance b/w the two wheels )/ 2
h= height of cg
 
 
 

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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elastiboysai (2327)

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thats similiar to what i have done
wats d book ans?
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destinationIIT09 (329)

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buddy
isnt it toppling and so isnt the method u used wrong??

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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destinationIIT09 (329)

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ok ok
u are right
maybe d buk ans  is wrong

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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destinationIIT09 (329)

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edited

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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destinationIIT09 (329)

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could u plz explain 2 me hw u got d inclination as 45

The secret of success is constancy of purpose;
Poverty is the step-mother of genius;
There is no knowledge that is not power,THIS IS KNOWLEDGE;
Hold fast to dreams, for if dreams die, life is a broken winged bird that cannot fly
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
unconventional;thats me
Damn d conventions,
Damn d prejudice,
Damn the authority,
Damn d bigotry.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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elastiboysai (2327)

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edited misread the qn .
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anchitsaini (4357)

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wait
i'll give my method

Impossible To be Impossible is Impossible
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elastiboysai (2327)

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found my mistake editing
i have misread the qn...it struc me after anchit pointed out...
Heres a general approach:
Consider a vehicle moving on a circular track:
for vert equm.
N1+N2=mg were N1 and N2 are the normals at the two wheels
f=mv^2/r
now balancing the torques abt COM,
N1(l/2) =N2(l/2)+f(h)
l is the dist between the 2 wheels.
N2=N1-mv^2/r(2h/l)
limiting case N2=0,N1=mg
v^2=lgr/2h
so for safe turn without toppling,
v<=[ ] lgr/2h
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anchitsaini (4357)

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