In the equations below- A- B- omega and phi are constants- y and t are variables- t represents time- Only one of the following equations does not represent SHM- Which one is that-y- A sin omega ty- A sin omega t - B cos omega ty- B cos omega ty- A sin omega t - B cos -2omega t-

Question

Toppr Admin · Accepted Answer

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion-But the combination of two incoherent simple harmonic motions-Asin-x3C9-t-Bcos-2-x3C9-t- is NOT an SHM-Hence the answer is option D-

In the equations below, A, B, $ω$ and $ϕ$ are constants; $y$ and $t$ are variables; $t$ represents time. Only one of the following equations does not represent SHM. Which one is that?
$y = A s i n ω t$
$y = A s i n ω t + B c o s ω t$
$y = B c o s ω t$
$y = A s i n ω t + B c o s (2 ω t)$

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion.
But the combination of two incoherent simple harmonic motions( $A s i n ω t, B c o s (2 ω t)$ ) is NOT an SHM.
Hence the answer is option D.

In the equations below, A, B, ω and ϕ are constants; y and t are variables; t represents time. Only one of the following equations does not represent SHM. Which one is that?y=Asinωty=Asinωt+Bcosωty=Bcosωty=Asinωt+Bcos(2ωt)

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion.But the combination of two incoherent simple harmonic motions(Asinωt,Bcos(2ωt)) is NOT an SHM.Hence the answer is option D.

In the equations below, A, B, $ω$ and $ϕ$ are constants; $y$ and $t$ are variables; $t$ represents time. Only one of the following equations does not represent SHM. Which one is that?
$y = A s i n ω t$
$y = A s i n ω t + B c o s ω t$
$y = B c o s ω t$
$y = A s i n ω t + B c o s (2 ω t)$

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion.
But the combination of two incoherent simple harmonic motions( $A s i n ω t, B c o s (2 ω t)$ ) is NOT an SHM.
Hence the answer is option D.