In a simple one pulley-two mass system I have two ways of solving for acceleration, but am not sure which one is the correct or proper way.
#1)
assume m2 has the greater mass of the two
T-m1g = m1a
m2g - T = m2a
a = (m2g - m1g) / (m1+m2)
#2)
direction of up is positive, down is negative...
Homework Statement
in the picture, what is the 'tight side' of the v belt on pulley c?
Homework EquationsThe Attempt at a Solution
is it the F1 side? I don't know how to identify this
Hello!
I am a civil engineering student and have been tasked with creating an enrichment object for elephants at the national zoo in DC. I don't know much about pulleys, and am wondering if there are some mechanical engineers out there who could give me some hints on how to achieve this!
My...
Homework Statement
I need help with number 4.
Also I am altogether unsure of this problem... if you catch any mistakes, point them out! :)
Homework Equations
F = ma
Here are the variables I used in my attempt at the solution
mx = m subscript 1, 2, or 3
±a1 = acceleration of either mass on...
Homework Statement
Ok so here is the prompt: a 3kg object is fastened to a light spring over a pulley. The pulley is frictionless and its inertia may be neglected. The object is released from rest when the spring is unstretched. If the object drops 0.1 meters before stopping, find the spring...
Homework Statement
verify that theta in L = piD + (d-D)theta + 2Csin(theta) is equal to arc-cosine [(D-d)/2C]
2. The attempt at a solution
you can see my attempt in the second picture uploaded. i don't think i even got it right
Homework Statement
The mass of block A is 10kg. The block is at rest and the spring has a K = 25N/m is unstretched when the block is in the position as shown. One second after the block is released, find the acceleration and velocity of the block and the tension in the cable. My teacher gave us...
Homework Statement
The way my teacher makes us solve for accelleration in pulley problems is by calculating the net force of the system as a whole and then using F=ma, with the total mass and total net force. Are you supposed to solve for something like accelleration seperately for each mass or...
Homework Statement
In pulley problems, how do you determine the direction of accelleration? My teacher said that acceleration is in the direction of the heavier mass or the steeper incline. Is this true? What if you had two objects of equal mass and only one was on an incline?
Homework...
Homework Statement
You have a a mass, m1, in a plane. This mass is connected to a pulley by a thread, to a mass m2. Prove that:
\begin{equation}
m_{1} = \dfrac{m_{2}(2g - a)}{4a}
\end{equation}
Homework Equations
The Attempt at a Solution
I don't know why, but I can get this...
Hi there, I am currently trying to work out what force I will need to pull the curtain out and in (in the system shown in the attached illustration) so that I can calculate the torque required to turn the black cylinder component and therefore find out what motor I will need.
I am simply...
Homework Statement
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The two blocks are moving rightward at a constant speed along their inclined surfaces. The coefficient of kinetic friction is the same for both blocks. a) Determine the coefficient of kinetic friction. b) Determine the tension in the cord that connects the blocks to one...
Homework Statement
The figure shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses are mA = 4.80 kg, mB = 7.10 kg, and mC = 13.0 kg. When the blocks are released, what is the tension in the cord at the right?
Figure A is on...
1. Homework Statement
FInd acceleration and tension. Take g=10m/s^2
2. The attempt at a solution
By drawing the free body diagrams of every block and simultaneously solving all the equations, I got the answer acceleration= 30/7 m/s^2, which is also correct.
But when I try to treat all the...
The motor runs on dc current. I understand efficiency is useful work/work input. It is attached to the pulley. I think efficiency will remain constant as long as voltage of mains and vertical height remain constant. Am I wrong? Other people claim efficiency increases with load
Homework Statement
A window washer pulls herself up using a bucket that she stands in and a pully system that she pulls down on a cord to go up.
How hard must she pull in order to go up slowly at a constant speed?
assuming pulley frictionless and massless
Homework Equations
f=ma
The Attempt at...
Homework Statement
Homework Equations
w = √k/m
w = 2π/P
ƒ = 1/P
The Attempt at a Solution
I feel like I'm so close to the answer, I think it has something to do with the fact that there's a spring and pulley in the system that is throwing my answer off. I have
√k/m = 2π/P
So,
P =...
Hello all,
This is my first post, but I'm no stranger to skimming the boards. Always can find helpful stuff, but I'm stumped on this one. The situation is we have a Kohler 17 hp electric start gas engine horizontal shaft that max's out at 3600rpm. We are attaching a self-priming water transfer...
Homework Statement
System is in equilibrium. 1 mass known: 79.4 kg (or 778.6 N) and 2 other unknown. Other masses unaccounted for. Everything friction-less. The Tensions are unknown also.
Homework Equations
∑F = 0
∑Fx = -T1*cos135 + -T3*cos37 = 0
∑Fy = (-T1*sin135 - m1g) + (-T3*sin37 -...
Homework Statement
atwood machine: pulley with negligible mass and frictionless with 2 blocks hanging at rest.
The first block "m" has a mass of 3.66kg
The second Block "M" is unknown
The blocks are released; block M accelerates at .255*g m/s2 downward
Find the mass of block "M"
Hint: There...
Homework Statement
A light spring passing over a smooth pulley carries a spring balance of mass 1 kg and two weights of masses 1 kg and 2 kg. the reading on the balance will be
Homework Equations
3. The Attempt at a Solution [/B]
to my knowledge whatever the tension above the spring balance...
Homework Statement
A 77.0 kg patient is suspended in a raised hospital bed as shown in the figure. The wire is attached to a brace on the patient's neck and pulls parallel to the bed, and the coefficients of kinetic and static friction between the patient and the bed are 0.500 and 0.800...
Homework Statement
[/B]
Hey, all. I am working through Kleppner/Kolenkow and encountered a problem when trying to follow the example pictured below. My issues comes when they say "Equations (1)-(3) are easily solved..."
As it turns out, they are not so easily solved for me! So, it appears I've...
In the diagram, the pulleys and the strings are massless. The strings do not stretch. The masses of the suspended blocks are m1 and m2, as shown. The magnitudes of the accelerations of the blocks are a1 and a2, respectively. I'm having trouble assigning the conventions for the variables. I...
Homework Statement
this is from an example problem in the hibbler dynamics book 13th edition in the section of work so i don't really have a question on how to do it. the question is why is the problem solved the way it is solved.
the system has one pulley.one rope.and two masses at each end...
Homework Statement
I have solved the problem where one mass m1 is on a horizontal frictional table connected to a mass m2 which is hanging off the table by a string over a pulley (assuming pulley massless), assuming that m2 is greater than m1 there is a net acceleration causing the mass 2 to...
Consider two blocks connected by an ideal rope that passes through an ideal pulley fixed on the corner of the wedge as shown in the figure. The blocks have masses m1 and m2. The block of mass m1 is on the incline surface (which is frictionless) while the block of mass m2 hangs up in the air...
Homework Statement
The masses of blocks A and B in the figure (Figure 1) are 20.0 kg and 10.0 kg, respectively. The blocks are initially at rest on the floor and are connected by a massless string passing over a massless and frictionless pulley. An upward force F⃗ is applied to the pulley...
I can't convince myself that the situation in this picture is possible in reality though I know the physics works.
I feel that it won't work as the workers are not glued to the platform
can anyone find a demonstration to verify it .please (I'v searched youtube as much as I could)
people lifting...
Hello!
I am a teacher in Kuwait and we're looking to add some more engaging activity to the construction areas of our Reception/KG playground. We want to build a pulley system to raise and lower buckets of sand or bricks. We have some basic designs and we can find some pre made components...
Homework Statement
Two trucks tow a third one by means of inextensible ropes and a pulley attached to them (fig. 1). The accelerations of the two trucks are a1 and a2. What is the acceleration of the third truck that is being towed?
(fig.1) is in this link (I'm sorry, I don't know how to post...
Homework Statement
All the masses of the black dots are the same, the pulleys and ropes are massless.
Calculate the acceleration of the right most object (the one that is just on the single hanging rope)
Homework Equations
Fnet= ∑F : ma=T-mg
d= v1t + 1/2at^2
The Attempt at a Solution
The left...
Homework Statement
A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One End of the rope is held by Student A of mass 80 kg, who is at rest on the floor. The opposite end ofthe rope is held by Student B of mass 70 kg, who is suspended at...
Homework Statement
Block A has a mass of 75 kg and is initially at rest on a frictionless inclined plane tilted at a 37 ° above the horizon. Block A is attached to a massless rope that is connected to the top of Block B by way of a massless frictionless pulley. Block B also has a mass of 75 kg...
Homework Statement
A light inextensible string of length l hangs on two pegs attached to parallel walls separated by a height. A small frictionless pulley of weight Wp is attached to a block of weight Wb. When it is placed on the string, the string becomes taut and pulley runs on the string...
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...
Hello. I am having some trouble to understand conceptually the behaviour of such a system:
So, both blocks are in contact with the floor, one has mass M and the other has mass m. Then we apply an upwards force F on the axel of the pulley. How does the system behave?
My initial thought is...
Homework Statement
The diagram shows a particle P lying in contact with a smooth table top 1.5m above the floor. A light inextensible string of length 1m connects P to another particle Q hanging freely over a small smooth pulley at the edge of the table. The mass of each particle is 2 kg, and P...
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
I have a problem when doing math for pulley problems - if not at least one of the rope segments in independent, I do not seem to be able to compute the speed of given objects. For instance:
This is a very easy problem. Sa+3Sb=l and derive for speed; you don't really...
Homework Statement
Two masses are connected by a light string passing over a light, frictionless pulley, as shown in the figure below. The mass m1 (which is greater than m2) is released from rest. Use the isolated system model to answer the following.
In terms of m1, m2, and h, determine the...
Homework Statement
A block of mass 2kg (mb) can slide down a frictionless 53 degree inclune, but it is connected to a pulley of mass 4kg (mp with a radius of 0.5m. The pulley may be treated as a disk.
What is the angular acceleration of the pulley?
Homework Equations
a = rα
The Attempt at a...
Homework Statement
A horizontal bar with a mass of 3.2 kg and a length L of 64 cm is rigidly mounted to a vertical spindle of negligible mass such that the two objects spin together. The spindle has a diameter of 2.0 cm, and it is attached to the bar a distance of L /4 from its centre of mass...
This problem is an example from Mosca and Tipler, 9-13, 6th edition. I believe the books equation for the acceleration of the system is incorrect according to my work... Anyway, here goes
1. Homework Statement
"Two blocks are connected by a string that passes over a disk pulley of radius R...
Homework Statement
I have 3 masses with 2 pulleys which is in static equilibrium.
M1 & M3= 50.8kg
M2 = 90kg
Gravity that I used = 10m/s²
Part 1
Prove that the system is in static equillibrium
Part 2
If I were to add another 10kg of mass to M3 is the force exerted from M3 the same force as the...
Homework Statement
person and a box of equal masses are hanging off of the same pulley. The rope is considered massless. The person and the box are separate from each other. (The person is NOT standing on the box.)
Homework Equations
How far does the box move if the person starts climbing...
Homework Statement
Homework Equations
P = T*V
F=ma
3. The Attempt at a Solution [/B]
My approach was this: Using the pin at C as a datum, I figured that DB=CD and thus 2CD + AC = l. Thus I figured that at 3 ft/s, A was rising 3/2 feet per second.
However, I also figured the it would...
Homework Statement
LETTER d only [/B]
Homework Equations
Fnet = ma
The Attempt at a Solution
So I considered 2m independently and set its net force equal to its gravity minus its tension.
(2m)a = Fg - Ft = (2m)g - Ft
I then rearranged the equation so that Ft = (2m)g - (2m)a = 2m(g-a)...
Homework Statement
A cat is stuck in a tree. You are designated with the job to get it out, yet you do not want to climb the tree, because you may get stuck as well. Instead you set up a pulley system. A rope (consider it massless) runs from the seat you sit on over an ideal pulley and then to...
in string pulley systems(like atwood machine),the string applies a force on pulley of force 2T downwards,but why is it so?
why should it apply that force?
explain in detail