MCQ
A spring hangs vertically from the ceiling and a mass is attached to its free end. When the mass is pulled down and released, it oscillates vertically with simple harmonic motion of period $T$ . The variation with time $t$ of its distance from the ceiling is as shown. Which statement gives a correct deduction from this graph?
  • A
    The amplitude of the oscillation is $70\ cm$
  • B
    The kinetic energy is maximum at $t = \frac {1}{2}\ T$ 
  • C
    The restoring force on the mass increases between $t = 0$ and $t = \frac {1}{4}\ T$ 
  • The speed is maximum at  $t = \frac {1}{4}\ T$ 

Answer

Correct option: D.
The speed is maximum at  $t = \frac {1}{4}\ T$ 
d
Speed is maximum at the mean position
Distance between extreme position $ = 2A$ .
$2A = 70$
$A = 35\ cm$

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