সরল দোলন গতি

A particle executes simple harmonic motion with frequency 2.5 Hz and amplitude 2 m. The speed of the particle 0.3 s after crossing the equilibrium position is:

হানি নাটস

frequency, f = 2.5hz

amplitude, A = 2m

T=1f=12.5=0.4\displaystyle T=\frac{1}{f}=\frac{1}{2.5}=0.4 s

t=0.3s\displaystyle t=0.3s

displacement after t, x= Asin(wt) = 2sin(2πT×0.3)=2sin(0.6π0.4)=22sin(\frac{2\pi}{T} \times0.3)= 2sin(\frac{0.6\pi}{0.4}) = -2

speed v = wA2x2=2π0.422(2)2=0w\sqrt{A² - x²} = \frac{2\pi}{0.4} \sqrt{2² - (-2)²} = 0

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