Minimum Definition and 1000 Threads

Homework Statement If the resultant force acting on the bracket is required to be a minimum, determine the magnitude of F1. Set Φ=31° Homework Equations Fx=F(cos(θ)) Fy=F(sin(θ)) The Attempt at a Solution First I tried to find ∑Fx and ∑Fy ΣFx=0=200+cos(67.38)260+cos(59)F1x...

Problem Statement: If the resultant force acting on the bracket is required to be a minimum, determine the magnitude of F1 and the resultant force. Set ∅=30 deg. I have found the components of each force and set them up into a resultant vector, with F1 solved symbolically into its...

When I was solving questions on Ray optics I encountered a question wherein I had to prove that when a ray of light undergoes minimum deviation through a triangular prism then both the angles of refraction that is the first one at the incident point and the second one at the emergent point...

Homework Statement Find the point on the parabola y^2 = 2x that is closest to the point (1,4) Homework Equations d = ((x-1)^2 + (y-4)^2)^1/2 x=y^2/2 The Attempt at a Solution My attempt involves subbing in x in the d equation and differentiating it. I can't get the same answer as the book...

Homework Statement the equation of a stationary wave produced on a string whose both ends are fixed is given by y= [0.6sin(pi/10)x]cos(600pi)t what could be the smallest length of string?Homework Equations k=2pi/wavelength The Attempt at a Solution i got the wavelength to be 20 but don't know...

From my astrophysics class, we were given that the minimum altitude of a star relative to your latitude on Earth (\phi) is given by: $$h_{min} = \delta + \phi - 90°$$ (where \delta is the declination angle of the star) Supposing you were trying to view as many stars as possible in the night sky...

1. assume air is an iseal gas at 25C and 100kPa. the mole fractions of components are nitrogen_0.7567 oxygen=0.2035 water vapor=0.0303 carbon dioxide=0.0003 Calc. min work to seperate a-1kmol O2 at 25C 100kPa b-1kmol N2 at 25C 100kPa from atmosphere Homework Equations...

$a>0,b>0,c>0 ,\,\, and \,\, a+b+c=1$ find $min(\sqrt {a^2+b^2}+\sqrt {b^2+c^2}+\sqrt {c^2+a^2} )$

a trapezoid $ABCD,$ with $\overline {AD}// \overline {BC}, \overline {AB}=\overline {CD}$, and diagonal $\overline {AC}=15=\overline {BD}$ if R is its maximum area ,please find : (1)R (2)find its minimum perimeter P

Homework Statement Let $$p(x) = a_{2n} x^{2n} + ... + a_{1} x + a_{0} $$ be any polynomial of even degree. If $$ a_{2n} > 0 $$ then p has a minimum value on R. Homework Equations We say f has a minimum value "m" on D, provided there exists an $$x_m \in D$$ such that $$ f(x) \geq f(x_m) = m $$...

Homework Statement A charge Q = -820 nC is uniformly distributed on a ring of 2.4 m radius. A point charge q = +530 nC is fixed at the center of the ring. Points A and B are located on the axis of the ring, as shown in the figure. What is the minimum work that an external force must do to...

I am stuck on a problem regarding the minimum magnitude of an astronomical object that can be handled by a given telescope+spectroscope combination. The telescope aperture (D_T) is 2 m wide, the exit beam (D1) is 3 cm wide. The slit width (s) is 10 micrometers. The wavelength of interest is 450...

Homework Statement I have the following algorithms: Prime MST with array, Prime MST with priorityq and Kruskal with priorityq. I have to choose the best algorithm to find the minimum spanning tree on a planar graph. A planar graph has the property in which the number of edges is in O(number of...

Homework Statement 9.12) The mass of the box on the left is 30kg and the mass of the box on the right is 40kg. The coefficient of static friction between each box and the inclined plane is μs = 0.2. Determine the minimum angle α for which the boxes will remain stationary. Homework Equations...

Homework Statement We look at the center of one face of a solid cube of glass on a line of sight making 55° with the normal to the cube face. What is the minimum refractive index of glass for which you will see through the opposite face of the cube? (Hint: see through will be possible if the...

The minimum ignition energy for propane is 0.25mJ and for propene is 0.28mJ i have a mixture of propane and propene the percent by volume of propane is 95% and of propene is 5%, is there anyway other than experimentation to find the exact value of Minimum ignition energy of this Mixture or if...

ƒ(ß)=.5sec(ß) + √[1+(sec2(ß)/4)+tan(ß)/√(2)] Without graphing it or using calculus find the minimum. I already know the answer but want to know how to do it. It s at π/12 and is something like 1.5. First off this is NOT a homework problem. I already know the answer is something like 1.5 at π/12...

Find the maximum and minimum of $x^3+y^3+xy(x^2+y^2)$ given $x,\,y$ are two non-negative real numbers that satisfy $x+y+xy=3$.

Homework Statement A gas of neutral atoms is often modeled as an ideal gas, where the gas atoms are considered to be "elastic billiard balls" that only interact by bouncing off each other in a manner that conservers the total kinetic energy. Homework Equations V(r) = 4(Epsilon)[(delta/r)^12 -...

Find the minimum of $x+y+z+\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}$ for all positive real $x,\,y$ and $z$ that satisfies the condition $x+y+z\le \dfrac{3}{2}$.

Homework Statement Find the maximum and minimum values of f(x,y,z) = x^2 - 2x + y^2 - 4y + z^2 - 4z in the region x^2 + y^2 + z^2 <= 36. Homework Equations Lagrange multipliers The gradient of f = lambda * gradient of g <Fx, Fy, Fz> = lambda<Gx, Gy, Gz> Test for local extrema If Determinant...

Homework Statement Homework Equations n/a The Attempt at a Solution I don't know how to start part A and part B depends on part A. How does one calculate a lower mass limit? Is it the lower limit of an integral? I also don't understand how there can be two periods (one at 0.714 seconds...

Homework Statement 2 cars with velocities 10 m/s and 20 m/s are traveling in opposite directions, having uniform retardation of 2m/s^2 and 1m/s^2 respectively. Find minimum separation between them such that they don't collide. Homework Equations $$v^2=u^2 + 2as$$ $$V_{12}=v_{1}-v_{2}$$ The...

Do you guys know wether Leonard Susskind is going to release the next theoretical minimum book which is expected to be focused on special relativity and electrodynamics?

Hello, been thinking on this one for a little while, and can't seem to figure it out. Problem statement is: The cubic curve y = 8x^3 + bx^2 + cx + d has two distinct points P and Q, where the gradient is zero. Show that b^2 > 24c. It seems simple enough, but I can't logic it out. This...

Homework Statement is part C lack of information ? can someone give me a hint how to start ? for part a , -(1.35-0.95)(200cos60)-2(200sin60)=-386N(anticlockwise) for part b , -386.4/2 = 193N (in upward direction) Homework EquationsThe Attempt at a Solution

Homework Statement Let's say you want to find the minimum and maximum observed frequencies of light observed on Earth from the sun, when considering the Earth's motion around the sun. How would you go about doing this if you assume Earth takes time X to complete a revolution around radius R...

So I had this question for physics about something going around a loop. The question asked what the minimum velocity to counteract gravity is if something is going around a loop. hint: One force will be zero. I'm not sure how to figure this out, can someone help?

Homework Statement you are driving at highway speeds of 32m/s. The car in front of you suddenly brakes with an acceleration of 1.86 m/s^2. If your car can brake with an acceleration of 1.76m/s^2. What is the minimum following distance that you need before the braking in order to avoid a...

Homework Statement Homework Equations V=IR For resistors connected in parallel, 1/R =1/R1 + 1/R2 +... The Attempt at a Solution I first calculated the resistance of the the cable which consists of two wires, 1/R= 1/0.0050 + 1/0.0050 R = 2.5x10^-3 x 800 = 2 Ω Then I calculate the voltage...

Hey! :o We want to get from the poit $A$ to the point $B$ avoiding the lake. How should we move to minimize the distance? There are the following possibilities: 1. (We go along the red lines) In this case the distance is the following: Let $y_1$ be the first red line and $y_2$ the...

Homework Statement Homework Equations Newton's 2nd Law The Attempt at a Solution I was wondering if anyone could verify that I have all the correct vectors or if I am missing any. I just wanted to check before I started trying to derive the equations. [/B]

For example, the simplest case n=3 I am even stuck on much less the general problem we can start with that and evidently it may be able to be soled with only two or three resistors if you are clever Also we are not allowed to use op amps only resistors and we are given two voltage sources...

Homework Statement Here is this line in my book which says, "Although the minimum number of bits required to code ##2^n## distinct quantities in n, there is no maximum number of bits that may be used for a binary code. For example, the ten decimal digits can be coded with ten bits, and each...

I'm building an electric skateboard. I am trying to calculate the bare minimum force and torque to move a 180 lb object on 4 polyurethane wheels from standstill for motor selection. I got lost in finding the coefficient of friction for polyurethane wheels and whether I am using the equation for...

Find the minimum of $a^2+b^2+c^2+d^2+(a+b+c+d)^2$ given $a+2b+3d+4d=1$ for all real $a,\,b,\,c$ and $d$.

I am designing a mask for a chip which might be used for wirebonding. What is the minimum contact area for wirebonding using a microscope and microprobe? Currently my contact pads are 220 x 220 um. Is that big enough?

Homework Statement At which minimum velocity should you throw the ball horizontally if you are standing on a hemispherical rock of radius R so that it at no point touches the rock and lands at the minimum distance from the rock horizontally. Find the expression that solves for initial velocity...

Homework Statement The following doesn't come from a textbook, and I am very uncertain whether it is true or false. Suppose that ##B \subseteq \mathbb{C}## is a convex set, and consider the set ##L_B := \{|b|: b \in B \}##. Homework EquationsThe Attempt at a Solution My question is, will...

What is the minimum possible warning that we on Earth can get for a very destructive space object from striking the Earth, say something about a kilometre in size (I'm guessing that would be big enough to be noticed all over the Earth). By minimum possible, I mean with the way the skies are...

Homework Statement The effective potential between two atoms of same mass m is: V(x)=-a\frac{1}{x}+b\frac{1}{x^2} where a,b>0 and x is the distance between them. (a) Calculate (order of magnitude) the distance between the two atoms in the molecule and its minimum possible energy. (b)...

Homework Statement A car traveling 10 m/s is moving along a track banked at 5 degrees. The tire-road friction coefficient is .3 What is the minimum radius it can travel without slipping? v0= 10 m/s Bank Angle Θ = 5° μ=0.3 Note I am working through prep material for the exam. The solution...

Find the minimum and maximum of $P=\dfrac{y−x}{x+8y}$ for all real $x$ and $y$ that satisfy the equation $y^2(6-x^2)-xy-1=0$.

Hey, The helmholtz energy is supposed to have a minimum when the entropy has a maximum value. Does anyone knows the derivation for this statement?

Hi guys, need an help about that problem That's an adiabatic filling of a reservoir (tank) from a line. Line is at 350 K and 8 MPa. The tank is, in the final state, at 365 K and 6 MPa. Tank is insulated (no heat exchanged during the process), and only one stream enter in the tank. How can i...

This question was posted on Khan Academy. I attempted it after watching all of their great Work and Energy videos, but the way they arrived at the answer was way above my skill level even after reviewing the videos a number of times. Here is the question: What is the minimum height h of a slope...

I am reading Ernst Kunz book, "Introduction to Plane Algebraic Curves" I need help with some aspects of Kunz' definition of the vanishing ideal of an algebraic curve and Kunz' definition of a minimal polynomial ... The relevant text from Kunz is as...

Basically what I want to do is the opposite of finding average velocity from constant acceleration. I want to know how to find the minimum possible acceleration where the average velocity v is known and the distance d is know. The acceleration is assumed to be constant. For for example, a ship...

$a>1,b>1$ find the minimum value of $\dfrac {a^2}{b-1}+\dfrac {b^2}{a-1}$

Homework Statement Electric field given by the vector E = E0/l (xi + yj) N/C is present in the xy plane. A small ring of mass M carrying charge +Q, which can slide freely on a smooth non-conducting rod, is projected along the rod from the point (0,l) such that it can reach the other end of the...