Cp/ Cv = (gamma)

= 5/3=1.66 (monoatomic)

= 7/5=1.40 (diatomic)

= 8/6=1.33 (triatomic)

 simple concept with 2 mass pulley system.

acceleration=net pulling force /total mass.

e.g.

2 masses of mass 10 kg and 5 kg are attached to a pulley on either side then the acceleration of the blocks 

= net pulling force /total mass.

=(100-50)N/15KG

=10/3 ms^-2

 A ball falls frm height "h" and hits surface inelastically then



height of ball after nth collision = e²ⁿ . h

 work done on tilting 



1>rod placed horizontally 

w = mg(L/2)(sin@)



2>rod placed vertically 

w = mg(L/2)(1 - cos@)

 {x}dx = (b-a)/2

          where {.}denotes fractinol function. a,b  I

 when a body is allowed to fall freely from a height h₁ and if rebounds to height h₂



then e ²= h₂ /h₁

 The foot of the perpendicular (h,k) from (x₁,y₁) to the line ax+by+c=0 is given by

 The image or reflection of the point (x₁,y₁) in the line ax+by+c=0 is (h,k) where

 if an equation 



ax^2+by^2+2hxy+2gx+2fy+c=0 is given



then the equation of its angle bisector



is 



(x^2-y^2)/(a-b)=xy/h

 vel of projectile at any instant

 The sum of coefficient of odd terms in the exp (1 + x)ⁿ is = to sum of coeff. of even terms and each

= to 2^n-1

 LEAST COUNT

meter scle = 10^-3 m

 cos3x=4cos³x-3cosx

 PROJECTILE

y = xtan@ {1 - x/R}



R = range

  projectile motion...............







R / H = 4 /tan (theta)