The figure shows a mass-pulley system. It consists of a pulley which is connected to the inertial frame through a frictionless revolute joint. The pulley has two sheaves, one with radius r=50 mm and the other with radius R=100mm. The sheaves are rigidly coupled together. The moment of inertia of the pulley is 1=0.03 kg m². A mass M-8 kg is suspended from the smaller sheave the pulley. A damper with damping coefficient C is connected between the mass and the inertial frame. A spring with stiffness k links the larger sheave to the inertial frame. The undamped natural frequency of the system is a = 50 rad/s and the damping ratio is = 0.6. 1. k www R M Focos(12t) Figure: Mass pulley system Calculate the stiffness, k, of the spring and the damping coefficient, C.

Elements Of Electromagnetics
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The figure shows a mass-pulley system. It consists of a pulley which is connected to the inertial
frame through a frictionless revolute joint. The pulley has two sheaves, one with radius r=50 mm and
the other with radius R=100mm. The sheaves are rigidly coupled together. The moment of inertia of
the pulley is 1=0.03 kg m². A mass M-8 kg is suspended from the smaller sheave the pulley. A damper
with damping coefficient C is connected between the mass and the inertial frame. A spring with
stiffness k links the larger sheave to the inertial frame.
The undamped natural frequency of the system is w₁ = 50 rad/s and the damping ratio is = 0.6.
k
www.
1.
R
M
Focos (nt)
Figure: Mass pulley system
Calculate the stiffness, k, of the spring and the damping coefficient, C.
Transcribed Image Text:The figure shows a mass-pulley system. It consists of a pulley which is connected to the inertial frame through a frictionless revolute joint. The pulley has two sheaves, one with radius r=50 mm and the other with radius R=100mm. The sheaves are rigidly coupled together. The moment of inertia of the pulley is 1=0.03 kg m². A mass M-8 kg is suspended from the smaller sheave the pulley. A damper with damping coefficient C is connected between the mass and the inertial frame. A spring with stiffness k links the larger sheave to the inertial frame. The undamped natural frequency of the system is w₁ = 50 rad/s and the damping ratio is = 0.6. k www. 1. R M Focos (nt) Figure: Mass pulley system Calculate the stiffness, k, of the spring and the damping coefficient, C.
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