Recent content by mopit_011

The following passage is from Halliday Resnick Krane in Chapter 3 which is about dynamics in one dimension. "We can measure frictional forces. By placing the body on a horizontal surface where it experiences a frictional force, we could attach a spring and pull the body with just the right...

Using the equation above, I plugged in 5.5 inches for the radiu and 0.5 inches for the value of dr and then solved for the estimate of the change in volume, dV. However, the solution instead uses a value of 6 inches for the radius receiving a different estimate for the problem than I did. Is my...

Thank you so much, I finally solved it!

I replaced v with ##(2\pi)(R \cos L)/T## and ##mg\sin L/ \sin(L +\theta)## with T (the tension) and substituted them into the first equation to get the following equation. ## (mg \sin L/\sin (L+ \theta))## ##- mg \cos L = -m ((2\pi R \cos L)/T)^2/R \cos L## Then, I canceled out m from both...

I started by making my coordinate system so that the x-axis aligned with the radius of the circle at a certain latitude L and the positive direction was facing away from the center of the circle, and the y-axis was parallel to the vertical axis of the Earth. Then, I wrote the equations for the...

Hello! So, I was beginning to skim Kleppner and Kolenkow for an upcoming course I’m taking over the summer. I saw this on pg. 17 and was wondering if I’m making a silly mistake in understanding what the book is saying. When they take the derivative of the position function, isn’t the velocity...

We could let f(u) be a function like u^2.

An example could be a function such as y = sin (1/x).

In Chapter 3 of Thomas’s Calculus, they give the following proof of the Chain Rule. After the proof, the text says that this proof doesn’t apply when the function g(x) oscillates rapidly near the origin and therefore leads delta u to be 0 even when delta x is not equal to 0. Doesn’t this proof...

I’m not sure of how begin solving for the inequality. How do I begin solving part (a)? Could I have a hint? Thank you!

(This is the diagram from the problem.) My professor assigned this as extra practice and I don’t understand why the answer is (C) instead of (B). Why would sharp bends be the correct answer? Isn’t the curved diagram more accurate for movement on a slope?

Thank you but then wouldn’t the uncertainty be 0.5 lb?

In the solution to the example problem, they wrote the following statement. “The least significant digit is the units digit, and so your weight is uncertain by about 1 pound. That is, your scale would read 119 lb for any weight between 118.5 and 119.5 lb.” I don’t understand why the scale...

When you use the power rule to differentiate the square root, the result is 1/2(sqrt. x) which is undefined at 0. But, when you use the definition of the definition of the derivative to calculate it, the result is infinity. What causes this difference between these two methods?

So in class today, we were talking about how if you fire a bullet aimed at a falling target and release the target and the bullet at the exact same time, they will surely collide. I asked if air resistance (since it’s not a constant force) wouldn’t affect the collision and my teacher didn’t have...