7. The period of the equation of motion given by x(t) = 6 sin (4nt) is( a) πS(b) 2 s1(c)(d) 0.5 s8. The frequency of the motion in (7) is(a) - cycle(b) 2 суcle(с) 0.5 суcle(d) 4п сусle9. The amplitude of the motion in (7) is(а) 4л(b) 6(c) 24 T(d) None of the above

Answered: 7. The period of the equation of motion…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

7. The period of the equation of motion given by x(t) = 6 sin (4nt) is
( a) πS
(b) 2 s
1
(c)
(d) 0.5 s
8. The frequency of the motion in (7) is
(a) - cycle
(b) 2 суcle
(с) 0.5 суcle
(d) 4п сусle
9. The amplitude of the motion in (7) is
(а) 4л
(b) 6
(c) 24 T
(d) None of the above

Expert Solution

Step 1

The function $f (x)$ is a rule that associates or fixes a number to the particular point x. If $y = f (x)$ , then the independent variable x is called the input of the function, and the dependent variable y is called the output of the function.

Periodic functions are the functions in which its output repeats after regular intervals of input, that regular interval is called the period of the function. Two common periodic functions are $\sin (x)$ and $\cos (x)$ and both have the period 2π.