Homework Statement
Homework Equations
R=Rxi+Ryj
The Attempt at a Solution
I think it has insufficient given but the answer at the back is 234lb.
I assumed that when i put a line through the angle bisector, the line would be perpendicular to the crate
PS: IF the image doesn't load, i put an...
Homework Statement .The pipe bender consists of two grooved pulleys mounted and free to turn on a fixed frame. The pipe is bent into the shape shown by a force P=300N.Calculate the forces supported by the bearings of the pulleys.[/B]
Homework Equations
The force equilibrium equations in two...
Homework Statement
A 500N force is applied to the handle at point F. The geometry & measurements are as given in the illustration. Find Cx, Cy, Ax and Ay[/B]Homework Equations
Well, the 500N force produces a 200Nm torque at point D, since DF is 400mm. [/B]The Attempt at a Solution
So the...
Homework Statement
For problems 102 and 103, find the value of Mc required to maintain equilibrium, and find the forces at C. Ma is given as 20 Nm for both problems. [/B]Homework Equations
Start with AB. The geometry is a 3/4/5 triangle, so AB is 100mm or 0.1 M.
So 20NM=0.1B
B=20/0.1 or...
Had an argument with a few guys at the gym today. I told them that loading a barbell with 100 on each side instead of 2 45s and a 10 causes more pressure on your spine. This example is in reference to someone performing a low bar squat in which the bar has contact points across the entire back...
Hello,
I've been studying for the FE, and this question in the Statics section of the review I am going through has really tripped me up for some reason. I understand Statics, and how to determine forces in X and Y directions, determining X and Y components using trig, etc, etc..
Maybe I am...
Question:
Three forces of magnitude 45 kN, 24 kN and 12 kN are applied to the truss connection as shown. Knowing that the connection is in equilibrium, determine the magnitude of the forces C and T.
Equations:
Fx = 0
Fy = 0
My attempt:
Fx=0:
-24kN + Tcos40 + Csin20 = 0
Fy = 0:
45kN +...
Homework Statement
Determine the location of y of the center of mass G of the assembly and then calculate the moment of inertia about an axis perpendicular to the page and passing through G. The block has a mass of 3 kg and the mass of the semicylinder is 5 kg.
Homework Equations
-parallel...
Homework Statement
Homework Equations
sum of torques = 0
The Attempt at a Solution
So I tried to put the torques into the equation:
Sum torques = mgL - T *sin(theta) * (L-x) = 0.
Solving for the T gave me [mgL]/[ (L-x) * sin(theta) ]. This is not an option in the answers.
Could anyone...
1. Homework Statement
problem is above
Homework Equations
sum of torques = I * angular acceleration = 0 for rotational equilibrium
The Attempt at a Solution
OK, here's what I tried to do.
I wrote sigma Fy = Fleft pier up + F secondleftpierup - Fg,beam = 0
I assumed that the two piers have...
Homework Statement
Suppose we have a folding ladder, so that when its legs are spread it makes an isosceles triangle. Suppose it has a support that runs parallel to the ground. There is a bucket of paint that rests on top of the ladder, and the mass of the ladder is negligible.
Data: The legs...
Homework Statement
A person is standing on tiptoe, with the total weight supported by the force on the toe. A mechanical model for the situation is shown, where T is the force in the Achilles tendon and R is the force on the foot due to the tibia. Find the value of T. Assume the total weight is...
I'm wondering how should I do analysis on those problems below:
Figure 1:
Figure 2:
I mean, my professor, while doing an example very similar to Figure 2, he didn't do an imaginary cut in the region BD to find internal forces there, and the internal forces diagram that he drew only contained...
Homework Statement
I have to solve for Ay, By, and Cy reaction forces. The constant C is a couple acting at A in a clockwise direction Homework Equations
Sum of all forces = 0
Sum of Moments about any point = 0
The Attempt at a Solution
I solved for all four reaction equations(one force sum...
Homework Statement
Determine the moment of inertia of the shaded area about the x-axis.
Homework Equations
I(x)= y^2dA
The Attempt at a Solution
In order to determine the moment of inertia of the shaded area about the x-axis I first looked at the portion above the x-axis, integrate it with...
Homework Statement
Homework EquationsThe Attempt at a SolutionFree body diagram
Setting moment at the origin = 0
(Rb X B) + (Ra X A) + (Rc X C) = 0
solving the 3 determinants and setting the coefficients of i, j, and k to 0, I get:
8Bz - 10 Cy = 0
-12 Az + 10 Cx = 0
12 Ay - 8Bx = 0
I...
Homework Statement
Determine the moment of inertia of the shaded area about the x axis.[/B]Homework Equations
Ix=y^2dA
The Attempt at a Solution
Okey so I now get how to do this the standard method. But I want to know if the method I tried is correct as well or where my mistake lies.
My...
Given this, is there a faster way to compute this or must I do 3 separate 3x3 determinants?
I can probably use cross product of each term, for example , (2rk) X (Axi) = (-2rAx j) (not forgetting the negative sign for j)
next, (2rk) X (Ayj) = (2rAyi)
and so on... but that feels too slow as...
Homework Statement
Homework EquationsThe Attempt at a Solution
for part b, where the angle is 45 degrees.
would this mean that if you unpin the frame at point A, it would stay completely stationary (assuming the frame is massless)?
Homework Statement
Determine the x- and y-coordinates of a point through which the resultant of the parallel forces passes.
The Attempt at a Solution
The first thing I did was to find the resultant forces, which is R = 0i + 0j -125 k
Then I found the moment of each axis
so
M = (-65(12)...
1. Homework Statement
W engine = 500 kg * 9.81 = 4905 N
sin t = 3/5
Homework EquationsThe Attempt at a Solution
1. use section AE
ΣMa = 0
3/5 * Fcd *2 - 4905 * 3 = 0
F = 12262.5 N
2. use section EB
ΣMe = 0
3/5 * Fcd *1 - 4905 * 2 = 0
F = 16350 N
why 1 and 2 doesn't result same...
Determine the resultant internal loadings acting on the cross section
at C of the cantilevered beam
http://imgur.com/Q4ZUTOq
1. Homework Statement
F = 270 N/m
Homework Equations
ΣV = 0
ΣM = 0
ΣN = 0
The Attempt at a Solution
section CB[/B]
k/6 = 270/9
k = 180 N/m
resultant force = area...
Homework Statement
say a fridge of width "w" and height "L" is being pushed on by a force F at an angle θ to the horizontal. This force is applied at a height of "h" above the ground.
I want to know what the max value of h can be such that the fridge doesn't tip and the coefficient of...
Homework Statement
I am not yet at the chapter of equations of equilibrium, plus it says the couple moment is not 0, so I assume it just about the loadings and not including the reactive forces and reactive moment.
Homework Equations
F= 1/2*b*h
M= 1/2*b*h*d
The Attempt at a Solution
So if I...
Homework Statement
This is the question, but with me 6 kN/m is 4 kN/m and 2 kN/m is 2.5 kN/m.
I am not yet at the chapter of equations of equilibrium, plus it says the couple moment is not 0, so I assume it just about the loadings and not including the reactive forces and reactive moment...
Homework Statement
Assuming no friction is on the plane or the pulleys and the pulley and rope have negligible mass... Determine the acceleration of each block and the tension in each cord. Block A weighs 100kg, Block B weighs 300kg.
Homework Equations
ΣF = ma
ma = 100kg
mb = 300kg
The...
Homework Statement
Homework Equations
I am Stuck getting Theta out of the last step of equation. I have found that theta is 35 by trial and error.( i wrote an excel program)[/B]The Attempt at a Solution
Homework Statement
We are given this frame and asked to find the forces at C, D, E and F. Distance from D to E is 16 feet. Distance from C to D is 8 feet; distance from E to F is also 8 feet. Distance from A to D is 6 feet; distance from D to G also 6 feet.[/B]Homework EquationsThe Attempt...
Homework Statement
Calculate the magnitude and coordinate angles of the resultant couple moment, caused by the forces.
Homework Equations
M= r x F
The Attempt at a Solution
M3= -0.2* 80k= -16k
M2= 0.2* 120i= 24i
M1= -0.2*100j= -20j
M4= r x F= ?
I just can't seem to be able to expres r into a...
Hi all, I am currently taking calc 2, physics 1, engineering statics and two gen eds. I am struggling in my statics class mainly because I am having a very difficult time understanding vectors. My academic schedule has me actually taking it my third semester (i'm currently in my second...
1. Homework Statement
Given the picture, find theta, and the magnitude of the force going from point A to B.
I have asked multiple people how to solve this problem and they have no idea, I end up getting 2 equations with 2 unknowns but then when I try to solve for theta I get 70cos(theta) -...
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...
Homework Statement
When the piston CD is lowered, ACB and CBE are horizontal, and they ask for the force in piston CD.
Homework EquationsThe Attempt at a Solution
So first we look at the entire frame ACDBE, and we sum moments at A:
-(14)(2500) + 24E(suby) = 0; E(suby) = 1458
Then A(suby) is...
Homework Statement
I found this question and thought the situation was quite an interesting one.[/B]
Homework Equations
Seem to only be the 3 general equilibrium form of equations.
The Attempt at a Solution
The problem I encountered with this question was that when I isolated 2 or 3 members...
I am looking for someone with mechanical engineering background who can assist me in making some calculations. I have an aluminum tray that is connected to a tripod and that supports a laptop. I want to get a lighter and smaller aluminum tray that can accommodate a tablet, but I don't know...
Homework Statement
A block of mass M is positioned underneath an overhang that makes an angle θ > 0 with the vertical. You apply a horizontal force of Mg on the block, as shown in the figure. Assume that the friction force between the block and the overhang is large enough to keep the block at...
Homework Statement
Find the value of W to maintain equilibrium
Homework EquationsThe Attempt at a Solution
I have split the system into two, creating a triangle. From this I have a right angle triangle with an adjacent of 2m, opposite of 0.6m and an hypotenuse of 2.088m (calculated through...
Homework Statement
The block resting on the inclined plane shown has a mass of 40kg. Determine the maximum and minimum value for P for which the block is in equilibrium. (fs = 0.35 and θ=25°)
Homework Equations
ΣFx = 0
ΣFy=0
Fmax=(fs)(N)
The Attempt at a Solution
wx = (392.4)(sin(25)) =...
Homework Statement
Draw the free body diagram of the system. (I know that's not what the problem is, but that's what I need clarity on)
Homework EquationsThe Attempt at a Solution
So I drew the same thing, more or less, but for mine Ay went up. This was how a very similar problem was done -...
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
Apologies in advance if this problem has been brought here before, I searched and couldn't find it.
The automobile has a mass of 1.7 Mg and center of mass at G. Both the front and rear brakes are locked.
Take μs = 0.3
Determine the towing force F required to move the car...
Homework Statement
The Bracket BCD Is hinged at C and attached to a control cable at B. For the loading showm, determine the tension in the cable, the reaction at C.
so after attempting this problem for about an hour and still not getting the right
answer I decided to look up the solution...
Homework Statement
Hi, I don't have a specific problem, I just need to know what to do when summing the moments about a point if there is a moment given at a different point. Do I just add it into the equilibrium equation as if it was about the point I am summing the moments about?
Homework...
Homework Statement
Determine the axial forces in the members of the truss and indicate whether they are in tension or compression.
Homework Equations
Fx = 0
Fy = 0
Mp = 0
The Attempt at a Solution
I attempted to find the reactions at the supports first. So:
Fx = 0 = Bx + 800cos(250)N
Fy...
Homework Statement
The 1.1m bar is supported by a ball and socket support at A and 2 smooth walls. The tension in the vertical cable CD is 1kN.
Draw the Free Body Diagram of the Bar.
Determine the Reactions at A and B. Homework Equations
Equillibrium equations.
Perhaps the vector...
I really don't understand what is the logic in the direction of forces S1,S2 and S3.This is an example and here are given directions of the forces,but in the exam I will have to find them on my own.
Could someone explain to me how should I find them and what kind of thinking I have to apply...
I still don't really get the concept of moments..
if moment is what makes things rotate, imagine this :
....... F (pushing down the stick)
===================(stick)
A
so :
1. the stick will rotate in a clockwise direction,
2. but the direction of the moment is negative Z.. (right hand rule)...
Homework Statement
The steel beam is supported by cables AB and CD and a ball-and-socket joint at O. The position of the vertical point load, P influences the reaction at O as well as the tension in each cable.
First you need to derive the equations for the tension in cable AB, the tension in...
Homework Statement
I am given the forces on picture and I´m asked to find the reactions on both supports. I see they are pin supports so they ask me for 4 unknowns.
Homework Equations
Sum of forces in both directions equal to zero
Sum of torques wrt a convenient point equal to zero
THREE...
1. Homework Statement
In the picture
Homework Equations
In the picture
The Attempt at a Solution
In the picture My question is .. Why in Fx has sin and Fy has cos ?