Max Definition and 1000 Threads

1. Homework Statement Homework Equations Friction ≤ μR The Attempt at a Solution :[/B] Ok so I need help for (ii) and this is what I did: I thought that in order for A not to slide, the net force on B ≤ Friction between the boxes 450a ≤ 0.2(200g) a≤0.89 however, when I tried this...

Homework Statement [/B] A 0.5kg wooden block is placed on top of a 1.0kg wooden block. The coefficient of static friction between the two blocks is 0.35. The coefficient of kinetic friction between the lower block and the level table is 0.20. What is the maximum horizontal force that can be...

giving : (1) $p$ is a divisor of $\dfrac{2000!}{1000!1000!}$ (2) $p$ is a prime (3) $p$ is a 3-digit number find $max(p)$

Homework Statement Let p,q,and r be real numbers so that p+q+r = 2 and p2+q2+r2 = 12 Then, the sum of the maximum and minimum value of r is A. 4/3 B. 2 C. 3 D. 10/3 E. 4 Homework Equations basic algebra The Attempt at a Solution [/B] p+q+r = 2 p^2+q^2+r^2 + 2 (pq+qr+pr) = 4 12 + 2...

Homework Statement A transfer car moves concrete slabs. Given values are wheel diameter D, shaft diameter d, rolling resistance FL , speed v, car weight mv , load weight mk , output power P at rotation speed n, average torque Mm , motor moment of inertia Jm , fan moment of inertia Jt and...

Homework Statement A car is making a turn on a wet highway ramp. The coefficient of static friction between the tires and the road is 0.25. Determine the maximum speed at which the car can safely negotiate a turn of radius 200m with a banking angle of 20 degrees. radius= 200m μs=0.25...

Homework Statement Here is an exercise I came across while studying MaxFlow / MinCut and I'm rather stumped: Designate G = (V, E) as an undirected graph that has at least two vertices. Every edge e on this graph has capacity ce. Pick two arbitrary vertices from G and label them s and t...

Homework Statement Show how you can make a mathematic formula for maximum power, by using the other formulas. I think, that U is maybe called V in English. Homework Equations U= R*I Up = -ri *I+U0The Attempt at a Solution [/B] P=I·(-ri·I+U0)P= -ri·I2+U0 I

Homework Statement The voltage across the inductor is given by v(t)=L(di(t)/dt). Determine: (1.) Tthe voltage v(t) (2.) The power p(t)=v(t)*i(t). (3.) The maximum power transferred ( t = ? (in seconds) when power is at maximum). if the inductance is L=2 and the current i(t) is given by...

I'm designing an oven and want to ensure that the insulation I specify has a low enough Thermal Conductivity (k) to resist excessive heat loss. I determine heat loss (Hout)with the following equation: Hout=A*U*(T1-T0). U is dependent on k (U=k/L). I omitted the heat transfer coefficient in...

Just signed up, hi everyone! 1. Homework Statement A man weighs 150 lb, and attaches a bungee cord having a stiffness of k = 500 lb/ft, to his feet. If he jumps from rest off the side of a bridge, determine the required unstretched length of the cord so that he can just touch the surface of...

I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.

So in this problem there's a lot of leeway as far as parameters go. The numbers I give for weights, dimensions, etc, may not be super realistic, but that's not too important to me because I can plug in realistic numbers later. I more of need help understanding the concept of moments of inertia...

Hi, I have a question from my germanium lab, which is how to estimate the max deviation (non linearity ) of a system. I plot the relation between the deviation of the energy as a function of true energy and got this ( see pic), but didn't know what to do next. Thanks.

Homework Statement f(x,y) = x2-4xy+5y2-8y ; enclosed by the triangular region (0,0), (3,0), and (3,3) Find the absolute maximum and minimum Homework Equations N/A The Attempt at a Solution First I took the partial derivatives with respect to x and y: fx = 2x - 4y fy = -4x + 10y -8 I...

Homework Statement A standing archer can fire an arrow from a bow with a maximum speed of 40.0 m/s. The archer rides a horse that can run at 12.0 m/s. The archer shoots an arrow at the maximum speed while riding the horse in the direction the horse is running and 10 degrees above horizontal...

Im working with a UROV and I have a technical scenario that I am supposed to solve. It seems pretty easy but i keep getting ridiculous answers. Assuming a max thrust of 5 N for 1 motor/propeller, for the forward direction only, use the above information to determine the Max Velocity, the Time...

[Note: Thread moved to this forum by a mentor] Hi all, the full question is: A parabola has zeroes at 5/2 and -3/2 and has an optimal value of 4. Determine equation of the parabola in factored form. So I started out with 4 as my y-value on my vertex then took the zeroes(5/2 and -3/2), added...

The problem: The stepped bar with a circular hole, shown in Figure P5.75, is made of annealed 18-8 stainless steel. The bar is 12-mm thick and will be subjected to an axial tensile load of P=70kN. The normal stress in the bar is not to exceed 150 MPa. To the nearest millimeter, determine (a)...

I went through my Physics textbook where we have a chapter on Communication systems. There's a certain section where they show us the formula for the LOS max. range for a tower with a given height (say h) but I, unsatisfied with it, set out to derive it myself at home and wasn't convinced with...

Homework Statement Initially collar is at rest with theta = 0. Find \dot\theta=f(\theta). And find maximum theta reached. Homework Equations I don't know if i allowed to use angular momentum about top-right frame corner as it's accelerating. But i definitely will need second Newton law:)...

I Was wondering how a frenette heater works? By frenette I mean the one that works thanks to friction. What would be the maximum heat produced assuming that we take The most ideal situation. Thanks a lot.

So I was reading about the challenger disaster and came across this report: http://history.nasa.gov/rogersrep/v1ch3.htm Both the Shuttle main engines and the solid rockets operated at reduced thrust approaching and passing through the area of maximum dynamic pressure of 720 pounds per square...

Homework Statement a 0.60 kg mass is attached to one end of a 1.7 m string. The string will break if its tension exceeds 60 N. The mass is whirled in a horizontal circle on a frictionless tabletop, such that the other end of the string remains fixed at the axis of rotation. What is the maximum...

Homework Statement An object of mass m = 2kg is relesed from a height h=5m and left to slide on a frictionless curved ramp. Once it reaches the bottom it slides horizontally from point A to point B, covering a distance L=6m on a surface with kinetic friction coefficient...

Guys I have tricky question : I have beam loaded like that: Is there any easy way to do simplification of this load ( I don't mean transfer the UDL to Point Load). Mentioned that I mean the way to not do the calculation of moment to find max in 4 section and the two almost 4 double integrals...

I am not studying physics so I apologies for my limited knowledge in advance. I felt if I increased speed of reps with sub-maximal weights this increase of speed would increase my 1 rep max using n e=mc2. I'm now not sure as this implies I'm using more energy not applying more force or power...

Homework Statement After happily working my way through the earlier parts of this question, I'm pretty much at the end of my tether with the last two parts. Please find the diagram attached: A) Determine the value of the angle θ (measured from vertical) when the angular velocity of link AB a...

Homework Statement . A 2.0 kg object falls from rest a distance of 5.0 meters onto a 6.0 kg object that is supported by a vertical massless spring with spring constant k = 72 N/m. The two objects stick together after the collision, which results in the mass/spring system oscillating. What is...

Homework Statement The pulley system is stationary. What is the maximum and minimum mass of block B to keep the system stationary? We know that: Mass of A = 100 kg Angle = 45 degrees μ = 0.1 Homework Equations F = ma The Attempt at a Solution I know that in order for the system to stay...

I remember seeing somewhere people using symbols for ceiling and floor operators together with super/subscripts as substitutes for min and max. Example: \lceil x \rceil ^k to mean min(x,k). Has anyone ever seen this? Where? Thanks!

I have this function: f(x) = √3x + 2Cos(x) I have to find the local maxima and minima,where -π ∠ or equal to x ∠ or equal to 2π. 1: Differentiate the function given. f'(x) = 3/(2√x) -2Sin(x) 2: Find where f'(x) is undefined or = 0 to get critical points. 3: Find f''(x) [The second...

1. The problem Given a circuit with a 30V source and five resistors. The circuit can be drawn as two boxes. Resistor 1 (R1 = 300ohm) is in series with the source. R2 (300ohm) in the middle of the two boxes, and the remaining resistors (550 ohm) in series at the other side of the box. The...

If I had 2 serrated plates like the ones in the attached picture locked in place like seen below. How would I go about calculating the maximum amount of torque needed for failure of the part. Assuming it has 48 teeth and is made from stainless steel?

Homework Statement The surface area of a cell in a honeycomb is S = 6hs + (3s2/2)((√3 - cosθ)/sinθ) where h and s are positive constants and θ is the angle at which the upper faces meet the altitude of the cell. Find the angle θ (π/6 ≤ θ ≤ π/2) that minimizes the surface area S. Homework...

Hi, I need some guidance on the following problem, please. A daredevil attempts to walk the full length of suspended. A 20 kg wrecking ball hangs at the end of this uniform beam of length 4 m and mass 10 kg and is attached to a hinged wall at an angle of 53 degrees. A cable attached to the wall...

Homework Statement John plans to drive a car off of one ramp and land on a similar opposing ramp. The ramps are slanted at 30 degrees. His car leaves one ramp at a speed of 30m/s. a) What is the maximum distance between the ramps for the stunt to succeed? b) How much time does the car spend in...

Hello guys, I have a simple question about the max bending stress in a beam. We know that in a cantilever beam, the biggest moment occurs at the wall. This is also the location of the max stress with equation stress= M*y/I , However, in a simple supported beam, we have This time, the max...

Homework Statement A body of mass M, traveling in a straight horizontal line, is supplied with constant power P and is subjected to a resistance Mkv^2, where v is its speed and k is a constant. Show that the speed of the body cannot exceed a certain value v_m and find an expression for v_m...

Homework Statement A bloc of 0,2 kg is attached to a spring on a horizontal surface with no friction. (The other side of the spring is attached to a wall, so it doesn't move) The spring constant is 5 N/m. If we pull on the spring, we move it by 0,12 m from its natural position and we let it go...

I am trying to determine the capacity of this shelf i am building out of 2x2x.25 steel tubing. My only real question as of now, is let's say its 4ft wide and 8ft long, if i put a support every 1ft, does that mean when determining the max capacity i could treat it as several sections? guess what...

In tower cranes counterweights are placed on the counter jib to prevent the crane from falling over. Whereas on mobile cranes the counterweights are placed directly behind the cabin. The crane in itself also acts as some counterweight. My question to you is: How much weight can an object support...

Homework Statement Two-thirds of the weight of a 1500 kg car rests on the drive wheels. What is the maximum acceleration of this car on a concrete surface? μs = 1 Homework Equations F = ma[/B]The Attempt at a Solution The answer I got is 6.53 m/s^2 , but I want to make sure the answer is...

Homework Statement to achieve max moment , the 4 kN must br perpendiclar to 20m , right ? so, i formed a cloased triangle and use sine rule to find the tetha , 25/ sin90 = 4/sin tetha , i gt my tetha = 9.2 degree , but the ans given is 33.6degree i gt max moment = 80Nm Homework EquationsThe...

Homework Statement how long does it take a football, with an initial velocity of 30 m/s at 30 degrees up from the horizontal, to reach the top of its flight? Homework Equations Δy= ½ (Vf + Vo) t The Attempt at a Solution I know that Vf= 0 m/s here because when it reaches the highest point, it...

You want to build a portable device that can detect pirate radio stations broadcasting at about 50 W of power a few miles from your beachfront home. You have a 0.60-m diameter bowl you might use as an antenna dish, but you are worried that your amplifier input will require a signal of at least...

I listened to a lecture the other day that some anomalies in observations compared to theory caused Max Plank to derive his famous Constant.

I'm trying to determine how exactly gear ratio limits velocity. I know that a high torque configuration is generally regarded as low speed, but my calculations do not seem to support that. Basically, I've written a small problem where we have an input gear with constant torque and an output...

Homework Statement Prove that a set of linearly independent vectors in Rn can have maximum n elements. So how would you prove that the maximum number of independent vectors in Rn is n?I can understand why in my head but not sure how to give a mathematical proof. I understand it in terms of the...

Homework Statement A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s^2 for 30s, then runs out of fuel. Ignore any air resistance effects. What is the rocket’s maximum altitude? Homework Equations Δx=V0t+(1/2)at2 V=V0+at 2aΔx=V2-V02...