A body executing simple harmonic motion has a maximum acceleration equal to 24 metres - 2 and maximum velocity equal to 16 metres - 2- The amplitude of the simple harmonic motion isA- 3- metres 32B- 1024-32 metresC- 32-0 metres 3D- 04-9 metres

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Standard XII

Physics

SHM:The Calculus Picture

A body execut...

Question

A body executing simple harmonic motion has a maximum acceleration equal to 24 metres $/ s e c^{2}$ and maximum velocity equal to 16 metres $/ s e c^{2}$ . The amplitude of the simple harmonic motion is

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Solution

The correct option is A
Maximum velocity = $a w$ =16
Maximum acceleration $= w^{2} a = 24$
$\Rightarrow a = \frac{(a w)^{2}}{w^{2} a} = \frac{16 \times 16}{24} = \frac{32}{3} m$

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A body executing simple harmonic motion has a maximum acceleration equal to 24 metres/sec2 and maximum velocity equal to 16 metres/sec2. The amplitude of the simple harmonic motion is

The correct option is A Maximum velocity =aw=16 Maximum acceleration =w2 a=24 ⇒ a=(aw)2w2a=16× 1624=323m

A body executing simple harmonic motion has a maximum acceleration equal to 24 metres $/ s e c^{2}$ and maximum velocity equal to 16 metres $/ s e c^{2}$ . The amplitude of the simple harmonic motion is

The correct option is A
Maximum velocity = $a w$ =16
Maximum acceleration $= w^{2} a = 24$
$\Rightarrow a = \frac{(a w)^{2}}{w^{2} a} = \frac{16 \times 16}{24} = \frac{32}{3} m$