Zadanie 2a
For the test run, find (i) the amplitude; (ii) the initial displacement; (iii) the first positive time at which the head passes O.
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Znaleziono 1343 zadania
For the test run, find (i) the amplitude; (ii) the initial displacement; (iii) the first positive time at which the head passes O.
Find ds/dt and d²s/dt² and thereby verify the restoring-acceleration equation.
(i) Use the chain rule to establish a = v dv/ds on a monotone motion branch. (ii) Solve the resulting differential equation to prove v2 = n2(A2 − s2). (iii) Hence or otherwise find the maximum speed.
Show that .
On the branch moving in the positive direction, write the positive velocity as v₊(s). For −A<s<A, the density has form fS(s) = k/v+(s) with k>0. Find k.
(i) Find E(S), with justification. (ii) Interpret this value in the scanning-head model.
Find the common ratio r.
Find the first term in the form a × 10k, with 1 ≤ a < 10 and integer k.
Find a, b and c.
The same height is written as . Find the least positive integer d.