A 1 kg particle moves along the x -axis under F = − 9 π 2 x N. At t = 1 s it passes the origin and at t = 4 s its speed is 6 m/s. Find the amplitude, in m.

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PhysicsSHMOscillations and SHMHard2 min

PhysicsHardnumerical

A 1 kg particle moves along the $x$ -axis under $F = - \frac{π ^{2}}{9} x$ N. At $t = 1$ s it passes the origin and at $t = 4$ s its speed is 6 m/s. Find the amplitude, in m.

Answer:

5.73

Solution:

$ω = π /3$ rad/s. In 3 s, $ω Δ t = π$ : at the origin again, so $A ω = 6$ and $A = 18/ π = 5.73$ m.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

⏱ 2m

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