Umm, guys, i just did this using:
2Ffront - 2Frear = a(M + 4m),
τ - FfrontR = Iα,
FrearR = Iα,
but it gave me ##a = \frac {2τ} {R(M+2m)}## instead of ##a = \frac {2τ} {R(M+6m)}##
Is something missing?
Alright, finished, finally. Here are the results:
$$v(t) = v_T (1-e^{ - \frac t τ})$$ $$x(t) = v_T τ(\frac t τ + e^{ - \frac t τ} -1)$$ Where ##v_T = \frac F b## and ##τ = \frac m b##
On d:
I first found that velocity is ##v = \frac {v_T} 2## at time ##t=ln(2)τ##
Using ##W=ΔK+ΔE_{internal}##...
In this problem, if i compute ##τ=m/b## i get that ##τ=0.25## seconds. What fraction of ##v_T## does the block have when ##τ=0.25## seconds? Is that a bad question? Because it depends what ##v## is at the start, right?
So, ##R## is not an independent variable and that is why we can't use it?
Using ##b## instead yields: ##v_T=F/b##
And solving for dimension ##T## gives: ##m/b##
But, what does this ##T## mean here? The time constant means dropping the initial value to ##1/e## percent or increasing the value to...
##b## has dimensions ##MT^{-1}## and together with ##v## i got the ##R=-\frac {LM} {T^2}## above. Yeah, i already did that. I guess i don't understand "You can't have dimensions of ##v_T## on both sides of the equation.".
I understand what the time constant does now. I found a cool video on the...
Homework Statement
A block of mass ##m = 1.00 kg## is being dragged through some viscous fluid by
an external force ##F = 10.0 N##. The resistive force can be written as ##R = -bv##,
where ##v## is the speed and ##b = 4.00 kg/s## is a phenomenological constant. You
may ignore gravity (we...
There will be need for an increased frictional force to stay up. If the frictional force doesn't increase it will fall over, i guess.
I tried to find out if the rate of change of μ that we found earlier was enough to maintain equilibrium while moving the base back. I guess that's not what was...
Ok, ty, i get the maximum frictional force thing now.
On the e question, pulling it back will decrease the angle, but am guessing it won't change the angle in the same way as before? Before we moved the top, not the bottom.
A uniform beam of length L and mass m is inclined at an angle θ to the horizontal. Its upper end
is connected to a wall by a rope, and its lower end rests on a rough, horizontal
surface. The coefficient of static friction between the beam and surface is μs.
Assume that the angle θ is such that...