Recent content by Lito

ohh i miss the displacement ? The spring should range from 0 to ℓ therefore: $$ x(t)= 0.5ℓ - 0.5ℓ cos(2 \sqrt{k/m}*t) $$

Corresponding with the initial x, the new equilibrium position is x=0.5ℓ.

Hey, Thanks so much ! I noticed the mistake now, ##\dot x## with sine, it supposed to be: ##\dot x(0) = -0.5ℓωsin(ϕ)=0## ==> ## ϕ=0 ## about the negative value i wasn't sure if the equation is correct, should I put negative signs for both sides? The final equation is for x(t).

I tried to solve using the new equilibrium position combining with the equations: The new equilibrium position is x= 0.5ℓ Therefor the Amplitude is $$ A=0.5ℓ $$ Solving $$ \dot{x}(0)= 0 $$ $$ \dot{x}(0)= 0.5ℓ \omega cos(\phi) = 0$$ $$ \phi = 0 $$ The forces in the x(0) $$ 2kℓ = m...

Homework Statement Two springs each have spring constant k and equilibrium length ℓ. They are both stretched a distance ℓ and then attached to a mass m and two walls (which are 4 ℓ apart). At a given instant, the right spring constant is somehow magically changed to 3k (the relaxed length...

Homework Statement A block of mass M is positioned underneath an overhang that makes an angle θ > 0 with the vertical. You apply a horizontal force of Mg on the block, as shown in the figure. Assume that the friction force between the block and the overhang is large enough to keep the block at...

Homework Statement A train travels in the +x direction with a speed of β = 0.80 with respect to the ground. At a certain time, two balls are ejected, one traveling in the +x direction with x-velocity of +0.60 with respect to the train and the other traveling in the −x direction with x-velocity...

mfb thank you so much ! The second's index was a mistake. I made the train RF: so is it correct to use the equation as follows: $$ Δr_{EF-Brian} = (1-0.5 v^2) \Delta t_{ED-CD}$$ $$ \Delta t_{ED-CD} = \frac{100 }{(1-0.5*(10^{-7})^2)} = \frac {100}{(1-5*10^{-15})} $$ And therefore CD...

Homework Statement Alice is driving a race car around an essentially circular track at a constant speed of 60 m/s. Brian, who is sitting at a fixed position at the edge of the track, measures the time that Alice takes to complete a lap by starting his watch when Alice passes by his position...