A SHM is given by y - 2sin - t - cos - t- Which of the following statements are true-

The correct options are B The amplitude is 2 √(2)m D When t = 0, the amplitude is 2 m ...

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A SHM is give...

Question

A SHM is given by $y = 2 (s i n ω t + c o s ω t)$ . Which of the following statements are true-

The amplitude is 1 m

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The amplitude is

2 \sqrt{2} m

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When t = 0, the amplitude is 0 m

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When t = 0, the amplitude is 2 m

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Solution

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y

t

y = a sin ω t + b cos ω t

S H M

y = 0

y -

y (m) = 5 (s i n 3 π t + \sqrt{3} c o s 3 π t) .

x = 5 \sqrt{2} (s i n 2 π t + c o s 2 π t)

\sqrt{2}

x -

y = \frac{1}{1 + x^{2}}

t = 0

y = \frac{1}{1 + (x - 1)^{2}}

t = 2 s

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