SHMHard
Question
The motion of a particle is represented by the function ″Asin2ωt + Bcos2ωt + Csincos″ where x, ω and t represent displacement angular frequency and time respectively. The constants A, B and C are related to the amplitudes of displacement. select CORRECT alternatives(s).
Options
A.The motion of particle is SHM when A = B.
B.The motion of particle is SHM when A = B and C = 0.
C.If B = 
= - A, then the amplitude of AHM is √2.
= - A, then the amplitude of AHM is √2.D.If A = B = , the axis of vibration of SHM shifts by a distance B towards +x axis.
, the axis of vibration of SHM shifts by a distance B towards +x axis.Solution
If A = B then x = A + Csinωtcosωt = A + sin2ωt ⇒ SHM
If A = B & C = 0 then x = A ⇒ along a straight line
If B = = -A then x = B cos2ωt ⇒ amplitude = B√2.
If A = B = then x = B + Bsin2ωt ⇒ Axis of vibration of SHM shifts by a distance B to wards + x - axis.
sin2ωt ⇒ SHMIf A = B & C = 0 then x = A ⇒ along a straight line
If B =
= -A then x = B cos2ωt ⇒ amplitude = B√2.If A = B =
then x = B + Bsin2ωt ⇒ Axis of vibration of SHM shifts by a distance B to wards + x - axis.Create a free account to view solution
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