Intomathymnma
2022-07-25
Answered

A wrench 30 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction <0, 3, -4>at the end of the wrench. Find the magnitude of the force needed to supply 100 N-m of torque on the bolt.

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Abraham Norris

Answered 2022-07-26
Author has **16** answers

Tourque=(force)(distance)

$\frac{Torque}{distance}=force$

$\frac{100n\ast m}{30cm}=\frac{100n\ast m}{.3m}=333.333N$

$\frac{Torque}{distance}=force$

$\frac{100n\ast m}{30cm}=\frac{100n\ast m}{.3m}=333.333N$

asked 2021-02-19

Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in the figure. The sum of the forces $F}_{A$ and $F}_{B$ exerted on the unit by the horizontal cables is parallel to the line L, and ${F}_{A}=4200$ N. Determine $F}_{B$? Determine the magnitude of $F}_{A}+{F}_{B$?

asked 2021-02-21

Two small charged objects repel each other with a force F whenseparated by a distance d. if the charge on each object is reducedto one-fourth of its original value and the distance between themis reduced to d/2, the force becomes:

a) $\frac{F}{16}$

b) $\frac{F}{8}$

c) $\frac{F}{4}$

d) $\frac{F}{2}$

e)F

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Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force $\overrightarrow{F}$ The magnitude of the tension in the string between blocks B and C is T=3.00N. Assume that each block has mass m=0.400kg.

What is the magnitude F of the force?

What is the tension in the string between block A and block B?

asked 2021-01-06

A marble moves along the x-axis. The potential-energy functionis shown in Fig. 1

a) At which of the labeled x-coordinates is the force on the marble zero?

b) Which of the labeled x-coordinates is a position of stable equilibrium?

c) Which of the labeled x-coordinates is a position of unstable equilibrium?

asked 2022-05-17

I was wondering what is the difference between a spin-fluid Heisenberg Magnet and spin-glass Heisenberg Magnet. As far as I understand in a spin-glass the spins are randomly oriented compared to a ferromagnet material but I don't quite understand what we mean by spin-fluid phase. And also in the article I am reading its mentioned that spin-fluid phase is found to be generically "gapless", but I am not sure what we mean by phase being gapless and how is it related to the spin phase of the material?

asked 2022-05-14

Given the quantum Heisenberg model with Hamiltonian

$\hat{H}=-\frac{1}{2}\sum _{i,j}{J}_{ij}{\hat{\mathbf{\text{S}}}}_{i}\cdot {\hat{\mathbf{\text{S}}}}_{j}$,

the uniform mean-field approximation ${\hat{\mathbf{\text{S}}}}_{i}=\u27e8\hat{\mathbf{\text{S}}}\u27e9+({\hat{\mathbf{\text{S}}}}_{i}-\u27e8\hat{\mathbf{\text{S}}}\u27e9)$ allows to rewrite it as

${\hat{H}}_{MF}=\sum _{i}{\mathbf{\text{B}}}_{eff}\cdot {\hat{\mathbf{\text{S}}}}_{i}+\text{const.}$,

in order to perform a diagonalization by means of a Fourier transform. To do so, I am told to choose the z-axis so to align with the effective field ${\mathbf{\text{B}}}_{eff}$, which I find to be ${\mathbf{\text{B}}}_{eff}=-\u27e8\hat{\mathbf{\text{S}}}\u27e9\sum _{j}({J}_{ij}+{J}_{ji})$. That's where I remain stuck. First of all, how should the Fourier transform which allows me to diagonalize ${\hat{H}}_{MF}$ look like? And how is this related to the alignment of the effective field?

$\hat{H}=-\frac{1}{2}\sum _{i,j}{J}_{ij}{\hat{\mathbf{\text{S}}}}_{i}\cdot {\hat{\mathbf{\text{S}}}}_{j}$,

the uniform mean-field approximation ${\hat{\mathbf{\text{S}}}}_{i}=\u27e8\hat{\mathbf{\text{S}}}\u27e9+({\hat{\mathbf{\text{S}}}}_{i}-\u27e8\hat{\mathbf{\text{S}}}\u27e9)$ allows to rewrite it as

${\hat{H}}_{MF}=\sum _{i}{\mathbf{\text{B}}}_{eff}\cdot {\hat{\mathbf{\text{S}}}}_{i}+\text{const.}$,

in order to perform a diagonalization by means of a Fourier transform. To do so, I am told to choose the z-axis so to align with the effective field ${\mathbf{\text{B}}}_{eff}$, which I find to be ${\mathbf{\text{B}}}_{eff}=-\u27e8\hat{\mathbf{\text{S}}}\u27e9\sum _{j}({J}_{ij}+{J}_{ji})$. That's where I remain stuck. First of all, how should the Fourier transform which allows me to diagonalize ${\hat{H}}_{MF}$ look like? And how is this related to the alignment of the effective field?

asked 2022-05-07

Lets say you have an uniform prism magnet of Iron for example. How would you calculate the demagnetization field H which the bar magnet produces? As I understand, first you need the magnetization M which is the magnetic moments per volumen. But then what ? Or would you apply and external field to the bar magnet and see how it reacts, if this is the case, how does this work ?