For a simple harmonic motion with given angular frequency `omega`, two arbitrary initial conditions are necessary and sufficient to determine the motion completely. These initial conditions may be
A
Amplitude and initial phase
B
Amplitude and total energy of oscillation
C
Initial phase and total energy of oscillation
D
Initial position and initial velocity
Text Solution
Verified by Experts
The correct Answer is:
A,D
Spring constant in parallel combination `k' = 2k + 2k = 4k` `:. T = 2pisqrt((m)/(k')) = 2pisqrt((m)/(4k)) = 2pisqrt((m)/(k)) xx (1)/(sqrt(4)) = (T)/(sqrt(4)) = (T)/(2)`
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