Adoor closing mechanism, like the one we studied in homework 4, can be represented as a simple second-order system as follows: jθ" + bθ' + kθ = twhere j is the door inertia about the hinges, b is the damping coefficient in the closing damper, and k is the spring stiffness in the closing spring. θ is the angle of door opening, and t is the applied torque when the door is pushed open. write down the transfer function that relates the input torque t to the output angle θ.

the clapeyron equation (also called the clausius-clapeyron equation) relates the slope of a reaction line on a phase diagram to fundamental thermodynamic properties.

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A massive asteroid impact would create long-term changes in the atmosphere and climate of the planet. Upon impact, vaporized dirt and rock would fill the atmosphere, blocking sunlight and creating a state of near-permanent darkness and winter-like conditions.