The displacement of an object oscillating on a spring is
given by X(t)=Xmcos(wt+theta)
• If the object is initially displaced in the negative x
direction and given a negative initial velocity, then the
phase constant is between
A. 0 and π/2 rad
B. π/2 and π rad
C. π and 3π/2 rad
D. 3π/2 and 2π rad
E. None of the above (it is exactly 0, π/2, π, or 3π/2 rad)

Question

The displacement of an object oscillating on a spring is
given by X(t)=Xmcos(wt+theta)
• If the object is initially displaced in the negative x
direction and given a negative initial velocity, then the
phase constant is between
A. 0 and π/2 rad
B. π/2 and π rad
C. π and 3π/2 rad
D. 3π/2 and 2π rad
E. None of the above (it is exactly 0, π/2, π, or 3π/2 rad)

anonymous · Answer

This is the phase diagram for the given equation.
|dw:1336898945246:dw|

Acc. to the given situation the particle should be at P.So its phase 'phi' should be between $$pi/2 \to pi$$