a. What is the frequency of oscillation of block?

b. what is the velocity of the midpoint ?

c. what is its acceleration at either end?

d. what is the acceleration and velocity when x=0.12m on the block’s first passing this point?

This answer is restricted. Please login to view the answer of this question.

Login Nowsolution

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)= \(\frac{1}{2\pi}\sqrt{\frac{k}{m}}\)

=\(\frac{1}{2\pi}\sqrt{\frac{200}{2}}\)

=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 m\sec^{2}

accleration (a)=ω^{2}x

=(2\(\pi)\)*1.6)^{2}*0.12

=12.12 m\sec^{2}

If you found any type of error on the answer then please mention on the comment or report an answer or submit your new answer.

Click here to submit your answer.

HAMROCSIT.COM

## Discussion