Well, I was trying to find other choices, but only these two angles make x(t=0)=0 .
Moreover, problem is that when I put pi/2 to find my time I get negative time. That's why i chose 3/2pi to overcome it.
Can you suggest the angle? I don't see. May be I can find angle from v0=v(t=0) part of...
I am very much in doubt about finding t from T/2 . It doesn't agree with t found from solving SHO general solution equation. See above.
Can you please comment?
@ dummyano
1) Yes, the way you found x is correct.
2) It seems you can't find t without SHO
I am very much in doubt about finding t from T/2 . It doesn't agree with t found from solving SHO general solution equation. See above. I am stuck.
But this equation v(t)=v0+at is also differential v(t)=v0+d2x/dt2*t . I have acceleration in both equations. I substitute one into another. Wanna understand why this is not right thing to do?
T=pi/ω=pi/3.16=0.99 s.
But I tried using equations of motion: v(t)=v0+at. for acceleration I put acceleration from N2L -(k+αmg)/m*x=d2x/dt2.
0=v(t1)=vo-(k+αmg)/m*x*t
x1=2
t1=.316 s.
Something wrong.
I have found how far it travels using work - energy theorem. May be using equations of motion: x(t)=x0+v0t+1/2at^2, v(t)=v0+at. and for acceleration put acceleration from N2L -(k+αmg)/m*x=d2x/dt2. May be then I can find my t?
Homework Statement
A small block of mass m=1 kg and v0=6.32m/s hits a massless relaxed spring with spring constant k= 3 N/m, which starts to be compressed as the block continues to move horizontally. There is friction between the block and the horizontal surface, and it is not uniform. As a...
Isn't it better to write equation of motion for center of mass?
We need to find ω(θ) relationship. And to do this. Well, I am stuck too with this problem.