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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: rotation
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arpan1 (665)

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ques 1

two forces F1 and F2 are applied on a spool of mass M and moment of inertia I about an axis passing through its centre of mass . find the ratio F1/F2 so that the force of friction is zero. given I = 2Mr2 

i am getting ans as INFINITY... but it is given as 1/2 .... pls solve




ques 2

a disc is placed on grpund . friction co-efficient is  mue . what is the minimum force required to move the disc if it is applied at the topmost point.


ques...3

can mechanical energy b conserved if friction does  work on a body....
give reasons in support of ur ans








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arpan1 (665)

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hey people ans .....

rates assured

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arpan1 (665)

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pls answer buddies....


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arpan1 (665)

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hey buddies, why don't u  all solve it


is it too hard or too easy

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computer001 (1847)

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arpan ans for 1st 1 is coming 1/3...
wait il post my method

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computer001 (1847)

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are both forces applied only @ dist R from centre??
i mean lik this?


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anchitsaini (4352)

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F1 - F2 = Ma -----1

F1R + F2R = I alpha = Ia/r

F1 + F2 = Ia / r^2 = 2Ma --------2

adding 1 and 2

F1 = 3Ma / 2

F2 = Ma / 2

my answer -- 3:1

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sid_29 (2)

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not given any solution dude
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computer001 (1847)

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lets say both forces are fwd...
if 1 is back ans will come in negative but v care only abt mod value...
so F1+F2 =ma
now for frictional force to be 0 there shud be pure rolling
so (F1-F2)R=I@ where @ is alpha
(F1-F2)R=2mR^2*@
also a=R@
so v have F1-F2=2ma=2F1+2F2
so F1=-3F2 is backward but ratio is 1/3


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computer001 (1847)

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it is f1/f2 so tht shud be 3

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computer001 (1847)

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anchit i repeat:
V BLEED THE SAME BLOOD :D

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computer001 (1847)

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2)
F0 is enuf to make it move

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computer001 (1847)

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as for the smallest possible force applied itself..friction will have to act backward to prevent the linear motin...producing a torque making the body move

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computer001 (1847)

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3)
i dont think so...due to dissipation of energy as heat...
but in case of pure rolling pt of contact @ rel rest so in this case v can do mech energy cons... in this case W done by fric=0
but as the question states work is done...so it cant be used