Recent content by Patrick Herp

  1. Patrick Herp

    Calculating acceleration of a prism and block connected to a wall through a rope and pulley

    Well, I'll try. Assuming the rest reference frame of the floor, if I set the "downhill" acceleration of the block relative to the prism as ##a_b## while the acceleration of the prism as ##a##, then Newton's 2nd law on the block perpendicular to the inclined plane is $$ N - mg \cos{\alpha} = ma...
  2. Patrick Herp

    Calculating acceleration of a prism and block connected to a wall through a rope and pulley

    The figure shows a block of mass m above a prism of mass M with a slope α. The block is connected to the wall through a massless rope and pulley system. Assume all surfaces are smooth. Determine the acceleration of prism M with respect to the ground. (Figure is the last attached image) I can...
  3. Patrick Herp

    Calculating the time needed until a known velocity for a vehicle with friction as a function of velocity

    For more clarification, I don't really "know" where this question comes from, I just found it randomly on the internet, among other questions that I think belong to high school questions, so I find it really weird that this particular part of the question suddenly jumps in difficulty. I did get...
  4. Patrick Herp

    Calculating the time needed until a known velocity for a vehicle with friction as a function of velocity

    The solutions for (a) and (b) are pretty straightforward, which I got 13 kW and 225 kW each, but when I try to solve for (c), I get stuck with this: $$ \begin{align} a &= \frac{F}{m} \nonumber\\ &= \frac{F_\text{max}-f(v)}{m} \nonumber\\ &= \frac{7(30)+6(30)^2 -70v-6v^2}{1.000} \nonumber\\...
  5. Patrick Herp

    A problem in applying Kirchhoff's Voltage Law

    Figure 1, Figure 2 *I'm using his textbook's rule in applying KVL here: $$ \begin{aligned} 21I_1 + 4.8I_3 &= 100 &&\textrm{Loop I (clockwise)}\\ 24I_2 + 4.8I_3 &= 0 &&\textrm{Loop II (clockwise)} \\ I_1 &= I_2 + I_3 \end{aligned} $$ From the above equations, I get ##I_3 \approx 4.63\textrm{...
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