We consider the angular response to a unit step input force f(t). we observe that the unit step response θ(t) is oscillatory with the following properties: i) the angular displacement θ(t) reaches a maximum value θmax = 6 deg ii) the angular displacement θ(t) converges to a steady-state value θss = 4 deg when t → [infinity]. using this information, determine the values of the mass m and the rotational damping coefficient br.
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Acar jack with a mechanical advantage of 6 needs to produce an output force of 600 n to raise a car. what input force is required? 6 n 100 n 600 n 3,600 n
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Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r
Answers: 1
We consider the angular response to a unit step input force f(t). we observe that the unit step resp...
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