The distance d (in meters) of the bob of a pendulum of mass m (in kilograms) from its rest position at time t (in seconds) is given. The bob is released from the left of its rest position, which represents a negative direction.(a) Describe the motion of the object. Be sure to give the mass and damping factor.(b) What is the initial displacement of the bob? That is, what is the displacement at t = 0?(c) Graph the motion using a graphing utility(d) What is the displacement of the bob at the start of the second oscillation?(e) What happens to the displacement of the bob as time increases without bound?d = -10e-0.6t/40 cos 

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What will be an ideal response?


(a) The motion is damped. The bob has mass m = 20 kg with a damping factor of 0.6 kg/s.
(b) 10 m leftward
(c)

(d) -9.28 m leftward
(e) d ? 0

Mathematics

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Solve the problem.Find the moment of inertia about the z-axis of a thick-walled right circular cylinder bounded on the inside by the cylinder r = 1, on the outside by the cylinder r = 2, and on the top and bottom by the planes 

A. 30? B. 60? C. 15? D. 32?

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Solve the problem and write the answer using scientific notation.The national debt of a small country is  and the population is 2,135,000. What is the amount of debt per person?

A. $3.68 × 106 B. $36.80 C. $3.68 × 103  D. $3.68

Mathematics

Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 5 - 1-x; relative to f(x) = 1x

A. Reflected across y-axis;
reflected across x-axis;
moved up 5 unit(s)

B. Reflected across y-axis;
reflected across x-axis;
moved down 5 unit(s)

C. Moved up 5 unit(s);
reflected across, y-axis;
reflected across x-axis;

D. Moved up 5 unit(s);
reflected across, y-axis;
reflected across x-axis;

Mathematics

Add.68,7717214

A. 94,795 B. 93,695 C. 95,795 D. 94,695

Mathematics