Homework Statement
v(x)= (1/x^2) -(1/x) Find the frequency of small osciallations about the equilibrium point
Homework Equations
The Attempt at a Solution
I have so far worked out the equilibrium point is at x=2, to get this i differentiated v(x) and solved it, but could...
-\int\frac{1}{v^2}dv=\int\frac{1}{4}dt
Hi I've just realized at this point the limits should be,
for -\int\frac{1}{v^2}dv should be V and 1.
and for -\int\frac{1}{4}dt should be t and 0.
Could you give me any help here?:smile:
Could somebody confirm this answer for me please? :)
A particle of mass 2kg is subject to a drag force from the air: F(v)= -0.5v^2. The initial displacement of the mass is zero and the initial speed is 1ms. Find an expression for x(t) and hence work out x(4)
From the initial conditions we know...
And sorry yeah it does mention about seperating by variables, so this does seem correct. The only thing i have seen is when you have put -v(t)^2/m you have put m as 4, should it be 2 or have i got it wrong ha?
A particle of mass 2kg is subject to a drag force from the air: F(v)= -0.5v^2. The initial displacement of the mass is zero and the initial speed is 1ms. Find an expression for x(t) and hence work out x(4)
Ive got this question in one of my textbooks and can't seem to get it to work, could...