Dear Sir,Please explain the solution at equation ...5A cylinder mass M and radius r rolls without slipping cylinder surface radius R determine frequency of oscillation cylinder displaced equilibrium position.Thank youSiddarth

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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