Comparative Study of Displacement Velocity and Acceleration

Displacement 

From the above equations and graphs we can conclude that.

(i) All the three quantities displacement, velocity and acceleration show harmonic variation with time having same period.

(ii) The velocity amplitude is w times the displacement amplitude

(iii) The acceleration amplitude is  times the displacement amplitude

(iv) In S.H.M. the velocity is ahead of displacement by a phase angle p / 2

(v) In S.H.M. the acceleration is ahead of velocity by a phase angle p / 2

(vi) The acceleration is ahead of displacement by a phase angle of p

(vii) Various physical quantities in S.H.M. at different position :

 

Physical quantities

Equilibrium position (y = 0)

Extreme Position (y = ± a)

Displacement

Minimum (Zero)

Maximum (a)

Velocity

Maximum (aw)

Minimum (Zero)

Acceleration

Minimum (Zero)

Maximum ()

 

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