Oscillations Question 5

Question 5 - 29 January - Shift 2

A particle of mass $250 g$ executes a simple harmonic motion under a periodic force $F=(-25$ x) N. The particle attains a maximum speed of $4 m / s$ during its oscillation. The amplitude of the motion is $cm$.

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Answer: (40)

Solution:

Formula: Simple harmonic motion

$\frac{1}{4} a=-25 x \quad ; \quad a=-100 x$

$ \omega^{2}=100 \quad \omega=10 $

$\omega A=4$

$A=\frac{4}{10}=0.4 m$

$A=40 cm$