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Try a few solved examples first and slowly you will learn how to proceed forward.
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I think you are wrong .How dou hold a sphere in your hands ........
from the outer surface not the centre of mass.
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Sorry in the above I made the diagram pretty clear but the computer did its formatting itself.But you can use the formula yourself aND CHECK its validity
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In case of the pulley problems we can directly apply the following formula to get the answers in all case------
a=[(helping mass - opposing mass) / total mass] x g
for instance
M
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!!!!!!!!!!!! m2>m1 !!!!!!!!!!!!!!!!!
m1 m2
a=(m2-m1)x g / (M+m1+m2)
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Study the Arihant series which is the better book for AIEEE aspirants
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It seems pretty obvious ,I think.
Since the both sides are identical and a>b thus it is true.
Isn't it.
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IN MECHANICS PULLEY PROBLEMS---- If there is a system of threads then the shortcut to constrint relation is ---- T x a==constant.Her t---Tension and a= acceleration. Sum the total tensions on body 1 and multiply to a1 and it will be equal to sum of T on other body X a2 T1x a1 =T2x a2=T3x a3=T4x a4=T5x a5 and so on.
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Correction--
Sorry, in point no 2 above it goes in backward direction to reach equilibrium conc.
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I have a wonderful line explaining the Le-Chateliers principle--------
"The system always tries to oppose any change in its state"
Example---
1-If temprature inc. then it will try to decrease it and go in the endothermic direction.
2-If we add product in the reaction mixture it tries to reduce it and reaction goes in the forward direction.
3-If we remove the products then it tries to make the conc of products same again and it goes in forard direction.
JUST REMEMBER THE ABOVE LINE AND YOU WILL NOT NEED TO LEARN IT ANY MORE.
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You can take a reference from University Physics by Young , Sears and Zemanesky.It is an excellent book in my views.
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Let us solve and get the answer.Let a,b be the intercepts on the axes X,Y respectively.Points (a,0) and (0,b) lie on it.Thus,
Eqn---
y/x-a=b/-a -------(1)
-ay=bx - ab
bx+ay-ab=0
P(2,2) lies on it.
2a+2a -a^2=0
a^2-4a=0
a(a-4)=0
a=0 or a=4
eqn are ----
putting in 1
4x +4y=16 i.e x+y =4
or using points (0,0) and (2,2) eqn is x=y. Ans
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PROBABLY YOU ARE TOO LATE BOUT IF YOU HAVE CONCEPTS OF SCHOOL ABSOLUTELY CLEAR THEN YOU CAN MAKE IT BY LOTS OF HARD WORK.
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Schaum's outline books are very good.
OTHER BOOKS ARE---
Maths--K.C. Sinha and S.L.Loney
Chemistry-- Morrison and Boyd, P.L.Soni
Physics--H.C. Verma and Don't Fear Physics are very good indeed.
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Pyrolysis is the cracking or decomposition of alkanes on heating.
An example is the pyrolysis of ethane which gives ethene on pyrolysis.
C2 H6 -----> CH2=CH--CH3
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RHS= 4(cosx - sinx)(1+sinx cosx)
LHS= cos3
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How can the IUPAC be wrong .If you do not believe it then you can have a look at iupac.org didi.
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In my view organic reaction mechanism is the most important topics
in organic chemistry.In fact I have observed that each year it has at least 1 or 2 questions which is enough to give the reason.
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Actually the answer given for this question on the IUPAC site is
3,3' (oxy-bis-(ethylene oxy )) dipropanoic acid
[This is the example given in the IUPAC nomenclature document]
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Clearly---
dv^2/2+P = P1 + dv2^2/2
Thus
1000 X 0.1225/2 + 100000/76 = P1 +1000 X 0.4225/2
61.25 + 1315.8 = P1 +211.25
P1 = 1165.8 Pa
In cm of Hg=1165.8 X 76/100000
=0.89 cm of Hg.
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