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Solid cylinder of mass m is connected to the two springs of total stiffness k as shown. Each of the springs is attached to a wall. Find the period of small oscillations of the cylinder assuming that it does not slide on the floor.
 one year ago
 one year ago
Solid cylinder of mass m is connected to the two springs of total stiffness k as shown. Each of the springs is attached to a wall. Find the period of small oscillations of the cylinder assuming that it does not slide on the floor.
 one year ago
 one year ago

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manjuthottamBest ResponseYou've already chosen the best response.0
here is the pic attached
 one year ago

VincentLyon.FrBest ResponseYou've already chosen the best response.1
Your system is conservative since the cylinder is not slipping. Use energy method, choosing a common parameter such as the position of the centre of the cylinder x and its derivative v. Kinetic Energy = ....... + ......... = f(v) Elastic potential Energy = ......... + .......... = g(x) Sum is constant, so add them up and take timederivative.
 one year ago

akhil009Best ResponseYou've already chosen the best response.0
@vincent in above problem if we have frictional force in addition then it will be non conservative force system then how are we gonna solve this problem ?
 one year ago

VincentLyon.FrBest ResponseYou've already chosen the best response.1
You can use the same method, slighly adapted for your new situation. The derivative of total energy is not 0, but is equal to the (negative) power of the friction force.
 one year ago

akhil009Best ResponseYou've already chosen the best response.0
ooh I see so you are still taking sum of total forces (conservative+ non cons) eqauls to zero am I right? @VincentLyon.Fr
 one year ago
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