Dear Sir,

Please explain the solution at equation ...5

A cylinder mass M and radius r rolls without slipping cylinder surface radius R determine frequency of oscillation cylinder displaced equilibrium position.

Thank you

Siddarth

Dear Sidddarth,

COMPLETE SOLUTION OF SYSTEM EXECUTING SHM
The equation of motion of system executing SHM can be represented by
m && + k ( x ) = 0 ----------------------------------------(1)x
dx 2dx+ ω2=02dtdt
The general solution of equation (1) can be expressed as
X = A cos( ω t) + B sin ( ω t)
Where A and B are arbitrary constant which can be determined from the initialconditions of the system. Two initial conditions are to be specified to evaluate these
constants. x=x0 at t=0 and
------------------------(2)
&x = Vo at t=0. substituting in the equation (2)

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