The Block–Spring System Revisited

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A 0.500-kg mass attached to a spring with a force constant of 8.00 N/m undergoes simple harmonic motion with an amplitude of 10.0 cm. The discussion focuses on calculating the maximum speed and acceleration, as well as the speed and acceleration when the mass is 6.00 cm from the equilibrium position. A user initially miscalculated the angular frequency (ω) and the time taken to move from x=0 to x=8 cm due to incorrect mass and angle measurement. Corrections were suggested, emphasizing the importance of using the correct mass value and measuring angles in radians. The conversation highlights the need for careful calculations in physics problems related to harmonic motion.
adashiu
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Please help me to solve this verz simple problem :


Code:
A 0.500-kg mass attached to a spring with a force constant
of 8.00 N/m vibrates in simple harmonic motion
with an amplitude of 10.0 cm. Calculate (a) the maximum
value of its speed and acceleration, (b) the speed
and acceleration when the mass is 6.00 cm from the
equilibrium position, and (c) the time it takes the mass
to move from to x=0 to x= 8 cm.

Thanks, Adam
 
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First you need to post what you've attempted.

Try writing down the equation for simple harmonic motion for a spring.
 
I have done point a )

b)
I need to have time t.
x=6cm
\omega=\sqrt{\frac{8}{5}}
6cm=10cm*sin(\omega*t)

sin(\omega*t) = 0,6
t=~30

Which is not correct... I think... Why? I don't know :(
 
Recalculate ω. The mass is 0.5, not 5. Be sure to measure the angle in radians, not degrees.
 
Oh yes ;] You are right. Thanks guys :)
 
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