Mechanics - Newton's laws-easy

1

skygirl ·2008-12-14 02:25:03

Ta1 + Ta2 + 2Ta3 =0 => constraint equation...
a1= acc of 2m, a2 = of 3m , a3 = of m.

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skygirl ·2008-12-14 02:25:42

oh sry actually constaint eqn is a1 +a2 + 2 a3 =0

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62

Lokesh Verma ·2008-12-14 02:28:27

accelerations are for masses from left to right

take a₁, a₂, a₃

2a1+a2+a3=0

mg-2t=ma1
2mg-t=2ma2
3mg-t=3ma3

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skygirl ·2008-12-14 02:28:45

from force eqn, express a1, a2, a3 in terms of T(tension) , m , g ...
put it into the constraint eq.
get value of T.
thence, find each of the accelerations :)

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greatvishal swami ·2008-12-14 02:31:45

m=(19/5)
2m=(g/5)
3m=g/5
now it should be correct
time to polish my phy skills i guess

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62

Lokesh Verma ·2008-12-14 02:37:06

vishal check ur answer!

I am not sure that is the right answer :)

Your answer doesnot satisfy the constraint relation itself!

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skygirl ·2008-12-14 02:55:32

not so good ans.. i got some bad ans..

m= -19/29 g
2m = 17/29 g
3m= 21/29 g

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greatvishal swami ·2008-12-14 03:00:32

m is deaccelerating wow!!! ..... how!!!

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skygirl ·2008-12-14 03:03:48

where deccelerating???

'-' sign indicates that acceleration of m is upwards..

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