Question

A S.H.M is represented by x=2sin(3t+n/6) where the amplitude is in calculate
a) frequency,f
b)angular frequency
c) period
d) amplitude
e)the phase angle​

Answer 1

Explanation:

Given that, age of father is 30 years more than that of his son.

☯ Let's consider that the age of his son be x.

:\implies\sf Father's \ age = (x + 30):⟹Father

′

s age=(x+30)

After five years, age of son would be (x + 5).

And, father's age would be (x + 35)

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⠀⠀\begin{gathered}\underline{\bigstar\:\boldsymbol{According \ to \ Question\::}}\\ \\\end{gathered}

★According to Question:

After five years, hence father's age will be thrice of his sons age.

\begin{gathered}:\implies\sf 3(x + 5) = (x + 35) \\\\\\:\implies\sf 3x + 15 = x + 35 \\\\\\:\implies\sf 3x - x = 35 - 15\\\\\\:\implies\sf 2x = 20\\\\\\:\implies\sf x = \dfrac{\cancel{20}}{\cancel{\: 2}}\\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 10}}}}}\end{gathered}

:⟹3(x+5)=(x+35)

:⟹3x+15=x+35

:⟹3x−x=35−15

:⟹2x=20

:⟹x=

2

20

:⟹

x=10

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Now,

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Present age of son, x = 10 years.

Present age of his father (x + 30), = 30 + 10 = 40 years.

\therefore\:{\underline{\sf{The\: Present \ ages \ of \ son \ and \ his \ father \ is \ {\textsf{\textbf{10 and 40 years.}}}.}}}∴

ThePresent ages of son and his father is 10 and 40 years..

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