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Q.10 (a) A temperature probe having a first-order response with a time constant of 1 second is giving a step input 50°C from 0°C. Calculate the temperature indicated 0.6 second after the application of the input. ----------------------------------------- (b) A linear second-order, single-degree-of-freedom system has a mass of 8 gm and a stiffness of 1000N/m. Calculate the natural frequency of the system. Determine the damping constant necessary to just prevent overshoot in response to a step input of force.

Q.10
(a) A temperature probe having a first-order response with a time constant of 1 second is
giving a step input 50°C from 0°C. Calculate the temperature indicated 0.6 second
after the application of the input.
-----------------------------------------
(b) A linear second-order, single-degree-of-freedom system has a mass of 8 gm and a
stiffness of 1000N/m. Calculate the natural frequency of the system. Determine the
damping constant necessary to just prevent overshoot in response to a step input of
force.

Grade:12

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