Which of the following functions represent `SHM` :- (i) `sin 2omegat` , (ii) `sin omegat + 2cos omegat` , (iii) `sinomegat + cos 2omegat`
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To determine which of the given functions represent Simple Harmonic Motion (SHM), we need to check if the acceleration is directly proportional to the negative of the displacement. This can be mathematically expressed as:
\[ a = -k x \]
where \( k \) is a constant, \( a \) is the acceleration, and \( x \) is the displacement.
Let's analyze each function step by step.
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Which of the following equations can form stationary waves? (i) y= A sin (omegat - kx) (ii) y= A cos (omegat - kx) (iii) y= A sin (omegat + kx) (iv) y= A cos (omegat - kx) .
Find the average value in the following cases (i) i=4+3 cos omegat (ii) I=5sinomegat + 2sin2omegat + 3sin3omegat (iv) V= cosomegat + 3cos2omegat + 3cos3omegat + 2
The following equations represent transverse waves : z_(1) = A cos(kx - omegat) , z_(2) = A cos (kx + omegat) , z_(3) = A cos (ky - omegat) Identify the combination (s) of the waves which will produce (i) standing wave(s), (ii) a wave travelling in the direction making an angle of 45^(@) with the positive x and positive y axes. In each case, find the positions at which the resultant intensity is always zero.
Funcation x=A sin^(2) omegat+B cos^(2) omegat+ C sin omegat cos omegat Represents SHM.
Calcualte rms value of current and voltages for the giving cases i) I = 4+3sinomegat ii) V = 5+2 cosomegat (iii) i= 2+3 sinomegat=2cosomegat iv) V =cosomegat + 2cos2omegat
Out of the following functions representing motion of a particle which represents SHM? 1. x=sin^(3)omegat 2. x=1+omegat+omega^(2)t^(2) 3. x=cosomegat+cos3omegat+cos5omegat 4. x=sinomegat+cosomegat
Out of the following functions representing motion of a particle which represents SHM? 1. x=sin^(3)omegat 2. x=1+omegat+omega^(2)t^(2) 3. x=cosomegat+cos3omegat+cos5omegat 4. x=sinomegat+cosomegat
Which of the following functions of time represent (a) simple harmonic (b) periodic but not simple harmonic and (c ) non periodic motion? Give period for each case of periodic motion (omega is nay positive constant) (1) Sin^(3) omegat (2) 3cos (pi//4 -2 omegat) (3) cos omegat +cos 3 omegat + cos 5 omegat (4) e^(-omega^(2)t^(2)) (5) 1 + omegat +omega^(2) t^(2)
Given that Y = a sin omegat + bt + ct^(2) cos omegat . The unit of abc is same as that of
