A torsional pendulum as in Figure above has a natural frequency of 200 cycle/min when vibrating...

    

 

 

          

 
 

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A torsional pendulum as in Figure above has a natural frequency of 200 cycle/min when vibrating in vacuum. The mass moment of inertia of the disk is 0.2 kg-m². It is then immersed in a viscous fluid which produces a damping constant of c, to the system. The natural frequency of the system is found to have changed to 180 cycle/min. • Discuss the changes of the system's frequency (in rad/s) which is caused by the oil and identify the damping constant of the system. • The disk is given an initial displacement 0,= 2° when it is placed in the fluid. Identify displacement of the disk at the end of the first cycle where t = td- (b) Fluid, c, Shaft, k Disc, Jo A torsional pendulum as in Figure above has a natural frequency of 200 cycle/min when vibrating in vacuum. The mass moment of inertia of the disk is 0.2 kg-m². It is then immersed in a viscous fluid which produces a damping constant of c, to the system. The natural frequency of the system is found to have changed to 180 cycle/min. • Discuss the changes of the system's frequency (in rad/s) which is caused by the oil and identify the damping constant of the system. • The disk is given an initial displacement 0,= 2° when it is placed in the fluid. Identify displacement of the disk at the end of the first cycle where t = td- (b) Fluid, c, Shaft, k Disc, Jo

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The changes in the systems frequency in rads caused by the oil can be analyzed using the equation fo... View the full answer