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  1. A

    I Why is the driven gear's torque's direction clockwise?

    Ah. I figured it out. The torque for the right gear is drawn as the load's torque.
  2. A

    I Why is the driven gear's torque's direction clockwise?

    No. I am applying a torque just to gear A. And apparently the torque for gear B is in the opposite direction because it is some reaction torque to gear A.
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    I Why is the driven gear's torque's direction clockwise?

    We have two gears A and B (left and right). Gear A is driven with a clockwise torque. Why is gear B's torque also clockwise? I would say that if gear B is driven to turn counterclockwise, the torque should be in the counterclockwise direction.
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    I If frictional force in system is <= us*N then there is no slipping

    According to my notes if the frictional force <= us*N, then no slipping occurs, but if frictional force > us*N then there is slipping? My notes say this, specifically what does part 3b mean? If Ff > us*N why are we now slipping because isn't the Ff < us*N if Ff = uk*N?
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    I If frictional force in system is <= us*N then there is no slipping

    If frictional force in system (say a block being pushed on a horizontal surface) is less than or equal to us*N then there is no slipping. Why is it that if the frictional force (Ff) in the system is greater than us*N then there is slipping (I am finding it hard to wrap my head around this)? us...
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    I How come you have to use work energy to find v0 of spring?

    I mean what is the initial velocity once you let go of the spring pulled a certain distance x. Why can't you do that with kx*(delta t) and what is delta t
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    I How come you have to use work energy to find v0 of spring?

    I am just looking for the initial velocity though
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    I How come you have to use work energy to find v0 of spring?

    If you use work energy, you can get 0.5*k*x^2 = 0.5*m*v^2 to get the velocity if you pulled the spring a distance x. How come you cannot do kx*(delta t) = m*v to get the initial velocity and what would be the delta t value?
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    I Force Generated By Leg Muscles in Free Body Diagrams

    Ok, so I guess I am asking what force causes the force of the leg muscle onto the foot and since it is an internal force, what is the reaction force to that force?
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    I Force Generated By Leg Muscles in Free Body Diagrams

    Suppose a person is walking on the ground without slipping. For the free body diagram of just the person, only the frictional force is drawn in the horizontal direction. The force exerted by the leg muscles to generate a force against the ground is considered an internal force. What would be the...
  11. A

    Engineering Derive the governing equation for the voltage Vc across the capacitor

    I don't understand. I drew the circle and currents in blue below:
  12. A

    Engineering Derive the governing equation for the voltage Vc across the capacitor

    Can you explain explicitly? I still believe there can be current from a to b...
  13. A

    Engineering Derive the governing equation for the voltage Vc across the capacitor

    I still don't understand why the current in the middle is zero....if I do KCL at point a or b, it seems like there could be current there....
  14. A

    Engineering Derive the governing equation for the voltage Vc across the capacitor

    I don't know if the resistors have the same current -- that is just an attempt of mine. In fact I think the resistors might have different current.
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    Engineering Derive the governing equation for the voltage Vc across the capacitor

    Yeah, I meant KVL: -5 + Ic*2*10^3 + Ic*10^3 = -Vc I know what part a is. I am wondering about part b.
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    Engineering Derive the governing equation for the voltage Vc across the capacitor

    I was thinking about doing KVL around the circuit at the right but I noticed when the switch opens, the current through the circuit at the right is not the same throughout -5 + Ic*2*1-^3 + Ic*10^3 = -Vc Ic is not the same around the right circuit so I am stuck....
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    Engineering Short vs Open Circuit: Is That Correct?

    Ok, I wrote my equations wrong initially. But I am wondering what frequency is the impedance an open circuit? The impedance would have to equal infinite?
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    Engineering Short vs Open Circuit: Is That Correct?

    For the first circuit, Req = ZL + ZC = -j/(w*C) + j*w*L = 0 for short circuit, so w = 0? For the open circuit case, -j/(w*C) + j*w*L = infinity, so w = infinity? Is that correct?
  19. A

    Energy conservation law question with capacitor

    Does the work energy theorem: delta W = delta KE apply with external and nonconservative forces as well or does that formula only work if there are only conservative forces and external forces = 0?
  20. A

    Energy conservation law question with capacitor

    Ok, I had a follow up question. How come in the work energy theorem, work = change in kinetic energy; but in the energy conservation law work = change in kinetic energy + change in potential energy?
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    Energy conservation law question with capacitor

    I was wondering why energy of capacitor does not equal change in kinetic energy PLUS change in potential energy where potential energy is the change in the potential energy of the charges. I believe that should be so because energy conservation = change in kinetic energy plus change in potential...
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    What does weak chemisorption mean?

    I am reading a research paper that says weak chemisorption of silver with olefins basically means more effective olefin/paraffin separation. If silver weakly binds to olefins, wouldn't that make a lousy separator?
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    I Finding the center of area (centroid) of a right triangle

    Yes off by a factor of two. Can you explain that more clearly? What do you mean by "instead of the height of the strip's centroid halfway up?"
  24. A

    I Finding the center of area (centroid) of a right triangle

    $$x(y) = b - y\frac{b}{h}$$ $$y(x) = \frac{-h}{b}x +h$$ No they would be different because $$\int_{0}^{h} y*x(y)dy = \int_{0}^{h} y*(b - y\frac{b}{h})dy$$ this does not equal $$\int_{0}^{b} y(x)*y(x)dx = \int_{0}^{b} (\frac{-h}{b}x +h)^2 dx$$
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    I Finding the center of area (centroid) of a right triangle

    To find the y value of the centroid of a right triangle we do $$\frac{\int_{0}^{h} ydA}{\int dA} = \frac{\int_{0}^{h} yxdy}{\int dA}$$ What is wrong with using $$\int_{0}^{h} ydA = \int_{0}^{b} y*ydx$$ as the numerator value instead especially since ydx and xdy are equal and where h is height of...
  26. A

    I The speed of a waves on a string in Simple harmonic motion

    Ok, not sure how the tension in the x direction can be approximated as the resultant tension
  27. A

    I The speed of a waves on a string in Simple harmonic motion

    Yes, this makes the tension of the string in the horizontal direction as well
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    I The speed of a waves on a string in Simple harmonic motion

    Yes, I know that F is the tension but is F the tension of the string in the x direction or is F the tension that is tangent to the string. My book derives it like this, implying that F is the tension of the string in the x direction
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    I The speed of a waves on a string in Simple harmonic motion

    The speed of a wave in simple harmonic motion on a string is $$v= \sqrt{\frac{F}{\mu}}$$ where v= the horizontal velocity of the wave on a string. Is the F the horizontal force or the resultant force (combination of Fy and Fx)?
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    Can this system of inequalities be solved for x?

    That is solving it graphically. I would like to solve it algebraically.
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    Can this system of inequalities be solved for x?

    Summary: Can these two equations be solved for x like a system of linear inequalities, and how? ##x- 2y \le 54## ##x + y \ge 93## We start with ##x- 2y \le 54## ##x + y \ge 93## Multiplying the second equation by 2, we have ##2x + 2y \ge 184##. We cannot seem to cancel the y out with the...
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    I Translational force of a pulley

    So with weights on either end of the red string, it would be (M+m + Weights)g?
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    I Translational force of a pulley

    What about "I am wondering how come you are dividing the tensions into 0<ϕ<π/2 and π/2<ϕ<π. I interpreted the tension being 20 N - 60 N at all infinitesimal points around the pulley." So is ##dl = -R\sin\phi d\phi \vec i + R\cos\phi d\phi \vec j## or ##-\sin\phi\hat xdx+\cos\phi\hat ydy =...
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    I Translational force of a pulley

    Not translational is rotational force
  35. A

    I Translational force of a pulley

    Translational is the force in the x and y directions.
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    I Translational force of a pulley

    I am wondering how come you are dividing the tensions into ##0<\phi<\frac{\pi}{2}## and ## \frac{\pi}{2}<\phi<\pi##. I interpreted the tension being 20 N - 60 N at all infinitesimal points around the pulley. Also I do not understand why we have to multiply by dl in ##d\vec{T}=20d\vec{l}##...
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    I Translational force of a pulley

    If that's the total torque how come a lot of the videos show torque in my example as 20r - 60r where r is the radius of the pulley? Source:
  38. A

    I Translational force of a pulley

    I just want the translational force of the pulley and am not sure if to calculate the translation force of the pulley I would have to consider all the forces at all the points along the circumference
  39. A

    I Translational force of a pulley

    Would just -20 - 60 - Mg + B = 0 be enough?
  40. A

    I Translational force of a pulley

    How do you draw the triangle?
  41. A

    I Translational force of a pulley

    Below is a pulley with mass and a string around it where the tension of one end of the string is 20 N and the tension of the other end of the string is 60 N. I know there is a net torque due to the differing tensions of the string, so I am wondering what the translational forces are on the...
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    B Conservation of momentum and conservation of energy details

    So you're saying the equation should beJ = ## \int_{t1}^{t2}(-k{x(t)})dt## where k is the spring constant of the ball, and x(t) the ball's compression?
  43. A

    B Conservation of momentum and conservation of energy details

    So the force exerted on the ball by the ground equals the force exerted by the ball on the ground, so we were just talking about a sign difference? So then if the impulse is the force exerted on the ball by the ground, J = ##\int_{t1}^{t2}(k_2{x_2(t)})dt##, where ##k_2## is the spring constant...
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    B Conservation of momentum and conservation of energy details

    According to my class notes, the impulse (change in momentum) for the ball, is just the force the ball exerts on the ground integrated for a certain time duration.
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    B Conservation of momentum and conservation of energy details

    Yes. I am talking about an elastic scenario. In scenario 2, would the impulse = ##\int_{t1}^{t2}(0.5k{x(t)}^2 + 0.5k_2{x_2(t)}^2)dt## or just J = ##\int_{t1}^{t2}(0.5k{x(t)}^2)dt## where k is the spring constant of the ball, and x(t) is the ball's compression, or should it be ##k_2## the spring...
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    B Conservation of momentum and conservation of energy details

    For conservation of mechanical energy for dropping a ball on the ground, I have 3 scenarios for conservation of energy: 1) For the scenario right before the ball hits the ground ##mgh = 0.5mv^2## 2) For the scenario while the ball hits the ground using the potential spring force of the ball and...
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    B Conservation of momentum and conservation of energy details

    Ok, got it. My last question was if there were an external force that caused the ball to drop with initial velocity v, would conservation of energy still be applicable since there was an external force? Or would the conservation of energy be applicable only after the external force stopped...
  48. A

    B Conservation of momentum and conservation of energy details

    What if 2 balls collide each with mass m, one with initial velocity and one at rest, and both end up with 0 velocity. The conservation of momentum doesn't make sense like this: mv = 0. How come?
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