A given spring stretches 0.1m when a force of 20N pulls on it. A 2-kg block attached to it on a frictionless surface is pulled to the right 0.2m and released. What is the frequency of oscillation of the block? What are the velocity and acceleration when x = 0.12m, on the block’s first passing this point?

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A given spring stretches 0.1m when a force of 20N pulls on it. A 2-kg block attached to it on  a frictionless surface is pulled to the right 0.2m and released.  What is the frequency of oscillation of the block? What are the velocity and acceleration when x = 0.12m, on the block&#8217;s first passing this point?

Rajan Kumar Khadka · Accepted Answer

solution The spring attached(x)=0.1 m force (f)= 20 N mass of block(m)=2 kg distance toward right (r)=0.2 m frequency of oscillation of block (f)=? velocity and accleration when x=0.12 on the spring block =? we have , f=kx k=f/x= 20/0.1 =200 n/m a. frequency (f)= (frac{1}{2pi}sqrt{frac{k}{m}}) =(frac{1}{2pi}sqrt{frac{200}{2}}) =1.6 Hz velocity when x=0.12m pasing this point, v=ω(sqrt{r^2-x^2}) =2(pi))*f(sqrt{0.2^2-0.12^2}) =1.6 msec2 accleration (a)=ω2x =(2(pi))*1.6)2*0.12 =12.12 msec2

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