If a SHM is given by y-sin - - cos - t m- which of the following statement are true-

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SHM expression

If a SHM is g...

Question

If a SHM is given by $y = (s i n ω + c o s ω t) m$ , which of the following statement are true?

The amplitude is 1 m

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The amplitude is

\sqrt{2} m

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Time is considered from y=1 m

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Time is considered from y=0 m

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Solution

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S H M

y = (sin ω t + cos ω t) m,

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) .

y

t

y = 3 sin 3.14 t + 4 cos 3.14 t

x -

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

t = 0

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

t = 2 s

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