1. As shown in the figure, a spring and a block are attached to a rigid...

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1. As shown in the figure, a spring and a block are attached to a rigid pulley with a mass moment of inertia of J, with respect to its pinning point O, and the inner and outer radii of r₁, and r₂ (as shown). The mass of the block is m. Include no friction, no drag. 1 (1.0) Determine the equivalent stiffness ke of the system for the coordinate x. Provide detailed derivations. (1.b) thinking. (1.c) m NO 344 x(1) Pulley, mass moment of inertia J JAL Determine the equivalent mass me of the system for rotational motion. Briefly explain your Determine the natural frequency of the system. Briefly explain your thinking. 1. As shown in the figure, a spring and a block are attached to a rigid pulley with a mass moment of inertia of J, with respect to its pinning point O, and the inner and outer radii of r₁, and r₂ (as shown). The mass of the block is m. Include no friction, no drag. 1 (1.0) Determine the equivalent stiffness ke of the system for the coordinate x. Provide detailed derivations. (1.b) thinking. (1.c) m NO 344 x(1) Pulley, mass moment of inertia J JAL Determine the equivalent mass me of the system for rotational motion. Briefly explain your Determine the natural frequency of the system. Briefly explain your thinking.

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