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Question
A particle moves on the X-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude
Options
A
B
A + B
\[\sqrt{A^2 + B^2} .\]
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Solution
B
At t = 0,
Displacement \[\left( x_0 \right)\] is given by, x0 = A + sin ω(0) = A
Displacement x will be maximum when sinωt is 1 or,
xm = A + B
Amplitude will be:
xm \[-\]xo = A + B \[-\] A = B
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