A particle has simple harmonic motion- The equation of its motion is x -5 sin4 t -6- where x is its displacement- If the displacement of theparticle is 3 units- then it velocity is -MP PMT 1994-A- 2 -3B- 5 -6C- 16D- 20

The correct option is C 16 From the given equation , a = 5 and ω = 4 nbsp; ∴ v = ω√(a^2 y^2) = 4 √((5)^2 (3)^2) = 16 nbsp; ...

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Standard XII

Physics

Periodic Motion

A particle ha...

Question

A particle has simple harmonic motion. The equation of its motion is

x = 5 sin $(4 t - \frac{π}{6})$ , where x is its displacement. If the displacement of the

particle is 3 units, then it velocity is

[MP PMT 1994]

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Solution

The correct option is D
16

From the given equation , a = 5 and $ω$ = 4

$∴ v = ω \sqrt{a^{2} - y^{2}} = 4 \sqrt{(5)^{2} - (3)^{2}} = 16$

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A particle has simple harmonic motion. The equation of its motion is x = 5 sin (4t−π6) , where x is its displacement. If the displacement of the particle is 3 units, then it velocity is [MP PMT 1994]

The correct option is D 16 From the given equation , a = 5 and ω = 4 ∴v=ω√a2−y2=4√(5)2−(3)2=16

A particle has simple harmonic motion. The equation of its motion is

x = 5 sin $(4 t - \frac{π}{6})$ , where x is its displacement. If the displacement of the

particle is 3 units, then it velocity is

[MP PMT 1994]

The correct option is D
16

From the given equation , a = 5 and $ω$ = 4

$∴ v = ω \sqrt{a^{2} - y^{2}} = 4 \sqrt{(5)^{2} - (3)^{2}} = 16$