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Which of the following quantities are always negative in a simple harmonic motion?
For the motion to be simple Harmonic, Force must be linearly proportional to the displacement.
F =-kx
(a). =
Cosθ
Direction of Force and acceleration is always same. Therefore, it will always be positive.
(b).
Direction of Velocity and displacement is always same; thus it is also coming positive.
(c).
Force is opposite to displacement.
Dot product will become negative as for >90° ,
is negative
So, this expression is negative
Again,
(d)
Force is opposite to displacement so it will also be negative.
Therefore, Option (c). and (d) are correct.