A spring hangs vertically from the ceiling and a mass is attached… - Vidyadip

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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