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A cart with a mass of  6kg is inside a container. The cart is connected to the container via dampers and springs seen in the figure with coefficients k1 = 500N/m, k2 = 800N/m, c1 = 50N.s/m and c2 = 75N.s/m. There is no friction between the cart and the container between the wheels. The motion of the container is given by xb = 10 sin(ωt). Find the equation of motion for the system? Calculate the undamped natural frequency of the system in Hz? Calculate the damping ratio of the system?

A cart with a mass of  6kg is inside a container. The cart is connected to the container via dampers and springs seen in the figure with coefficients k1 = 500N/m, k2 = 800N/m, c1 = 50N.s/m and c2 = 75N.s/m. There is no friction between the cart and the container between the wheels. The motion of the container is given by xb = 10 sin(ωt). Find the equation of motion for the system? Calculate the undamped natural frequency of the system in Hz? Calculate the damping ratio of the system?

Refrigeration and Air Conditioning Technology (MindTap Course List)
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter33: Hydronic Heat
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Problem 28RQ: The varying intensity of the sun's energy that reaches the earth is due in part to the A. solar...
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A cart with a mass of  6kg is inside a container. The cart is connected to the container
via dampers and springs seen in the figure with coefficients k1 = 500N/m, k2 = 800N/m, c1 =
50N.s/m and c2 = 75N.s/m. There is no friction between
the cart and the container between the wheels. The motion of the container is given by xb = 10 sin(ωt). Find the equation of motion for the system? Calculate the undamped natural frequency of the system in Hz? Calculate the damping ratio of the system? 

Xb C1 wwwwwww k₁ X m C2 www k2₂
Transcribed Image Text:Xb C1 wwwwwww k₁ X m C2 www k2₂
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