Homework Statement
Block 1 and Block 2 have the same mass 'm', and are released from the top of two inclined planes of the same height making 30 degree and 60 degree angles with the horizontal direction, respectively. If the coefficient of friction is the same in both cases, which of the...
Homework Statement
A block A of mass MA = 1 kg is kept on a smooth horizontal surface and attached by a light thread to another block B of mass MB=2 kg .Block B is resting on ground and thread and pulley are massless and frictionless.A bullet of mass m 0.25 kg moving horizontally with velocity...
Homework Statement
Homework Equations
F_spring = kx, where x is the distance compressed
f_friction = uN
The Attempt at a Solution
Forces acting on m: N_1 up, mg down, f_friction to right
Forces acting on M: N_2 up, Mg+N_1 down, f_spring to the right
Block m will still be in...
Homework Statement
The first block with mass m_1 slides without friction on a wedge which has an incline of angle \alpha. The wedged shaped block has a mass m_2 . The second block is also allowed to slide on a flat frictionless line. Find Lagrange's equations of motion.
Homework...
Homework Statement
I've been stuck on this problem for hours now. I know it has to be somewhat simple, but I am not too great in physics, so I am asking for help on how to complete this problem.
Two blocks are positioned on surfaces, each inclined at the same angle 50 degrees with respect...
I'm sorry if this isn't the correct forum. I wasn't sure where to put it. I have a problem that I need to make a computer algorithm to solve. I thought someone here might be able to give me some ideas.
The basic problem is this:
There are 3 children each with their own box.
-George's box is...
Homework Statement
Three objects are connected on an inclined table. The objects have masses 8.0 kg, 4.0 kg and 2.0 kg as shown, and the pulleys are frictionless. The tabletop is rough, with a coefficient of kinetic friction of 0.47, and makes an angle of 20.0° with the horizontal. The 8.0kg...
Homework Statement
A block of mass M is connected with a particle of mass m by a light in-extensible string as shown in the figure. Assuming all the contacts as smooth, find the acceleration of the block after releasing the system.Homework Equations
F = Mass * Acceleration
Normal Constraint ...
Homework Statement
Q. In the figure shown, find out the value of θ [ assume string to be tight ]
Homework Equations
The Attempt at a Solution
If the pulley was not moving ,then we could have equated the component of velocities of the two blocks along the string .
But,since...
Homework Statement
The blocks are of mass 2 kg shown is in equilibrium. At t = 0 right spring in fig (i) and right string in
fig (ii) breaks. Find the ratio of instantaneous acceleration of blocks?Homework Equations
The Attempt at a Solution
In fig (i) before the string is cut,(2kx)sin37° =...
Homework Statement
A block of copper at 100.0° C comes into contact with a block of aluminum at 20.0°C. The final temperature of the blocks is 60.0°C. What are the relative masses of the blocks?
Homework Equations
mcΔT
copper specific heat = .386 J/g°C
aluminum specific heat = .900...
Homework Statement
In the figure shown.Find :
a)acceleration of 1 kg,2kg,and 3kg blocks and
b)tensions T1 and T2
The Attempt at a Solution
2T1=2T2=>T1=T2
T2=1*a ,where a is acceleration of mass 1kg
T2=a
Let ar be the acceleration of mass 2 kg and 3kg wrt to the 3rd pulley.then...
This idea stems from the Pascal B nuclear test, which placed a 900kg steel plate over a shaft in where a nuclear explosive was detonated: http://en.wikipedia.org/wiki/Operation_Plumbbob#Propulsion_of_steel_plate_cap
The plate shot up at an estimated 66km/s, or 6x escape velocity. Say you...
Homework Statement
Mass 1(2.0kg) sits on top of mass 2(5 kg), which rests on a frictionless surface. The coefficient of static friction between mass 1 and 2 is 0.30. A string of length 5.0m is tied to mass 2, and both masses are swung around in a horizontal circle. Calculate a) the max speed...
Homework Statement
Two blocks with masses m1 and m2, m2>m1, are attached, I push from the left and from the right side, which force is bigger? The surface is frictionless.
http://imagizer.imageshack.us/v2/800x600q90/194/wkft.png
2. The attempt at a solution
I think it's bigger when...
Homework Statement
A block of mass m, is suspended by a spring with a spring constant k and stretches a length x . If two blocks of mass m/2 are suspended by a spring with the same spring constant k (ii), how much will the spring stretch...
Given a matrix $$A$$. Is it possible to have a Jordan block form like:
$$\begin{pmatrix}
\lambda & 1 & 0 & 0\\
0 & \lambda & 0 & 0 \\
0 & 0 & \lambda & 1\\
0 & 0 & 0 & \lambda\\
\end{pmatrix}$$
?
Homework Statement
Two blocks of equal mass, connected by a masslless spring of constant ##k## are on an air track. her unstreched length of the spring is ##L##. at ##t=0## block ##b## is compressed to distance from block ##a## at ##l/2## (block ##a## is pressed against a wall). Find the motion...
1. Would you correct, revise my problem please?
Two Blocks sit on a symmetric double slope. Rightmost block has twice the mass of the of the other block, and the angle that each side makes with the horizontal is the same.
a) Suppose that there is no friction. and suppose that the slope...
To clarify, I'm not confused as to how massless strings can add up to make massive objects, I understand why that happens. My question has more to do with the speed at which strings move. If strings are massless, they must travel at the speed of light, correct? If so, then first off, what is the...
Homework Statement
Block 2 has a mass of 10kg and is attached to a pulley. The string going through the pulley is fixed to a bar on one end. The other end of the string goes over a pulley and a cylinder, of mass 20kg hangs on the string. The coefficient of friction between block 2 and the...
Homework Statement
Three blocks are in contact with each other
on a frictionless horizontal surface. A 503 N
horizontal force is applied to the block with
mass of 2.6 kg as shown in the figure below.
The acceleration of gravity is 9.8 m/s^2.
What is the magnitude of the force between
the block...
I'm trying to get my head around this scenario:
The blocks are at rest, despite the tension forces acting on them.
It is obvious that the static friction acting on A from B is 20N to the right for A to remain at rest (the max might be a lot higher).
But does this produce an equal and...
Homework Statement
Consider the following two scenarios with the same box sliding up two differently inclined ramps. The coefficient of static friction is 0.7, the coefficient of kinetic friction 0.5. Eventually, the box will stop. Up to what maximum angle of the incline (in degrees) would...
The problem and solutions: http://i.imgur.com/hxlfbmZ.png
I was able to solve the first two questions, but I guessed part C.
For the first one, I thought of the two blocks as one unit (since there's no friction or air resistance). If they're both falling with the same acceleration, there...
Hello all,
I have two blocks, and I want to draw multiple parallel lines between them. This is the Latex code I have
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows,fadings, shadows}
\usepackage{amsmath,bm,times}
\begin{document}
\pagestyle{empty}...
Greetings Pfers
I am curious what breakthroughs need to be made for the completion of a device capable of forming an atom out of the basic subatomic particles (protons, neutrons and electrons). Technology is advanced enough to where we have machines capable of generating these subatomic...
Homework Statement
The figure shows two packages that start sliding down a 20 degree ramp from a rest a distance d=6.6m along the ramp from the bottom. Package A has a mass of 5.0kg and a coefficient of friction 0.20. Package B has a mass of 10kg and a coefficient of friction of 0.15. How...
Homework Statement
http://i.imgur.com/K2hYHgq.png
Picture here with question.
Homework Equations
F=ma
The Attempt at a Solution
For the system to begin moving, a>0 therefore
Fnet>0
I drew some FBDs and came up with four relevant forces total; the force of gravity along the...
Homework Statement
The figure shows a 100 kg block being released from rest from a height of 1.0 m. It then takes 0.90 s to reach the floor. What is the mass of the block on the left?
Illustration shows a pulley connected to the ceiling, with a block of 100 kg on the right, and a...
Homework Statement
A 2.00kg aluminium block and a 6.00kg copper block are connected by a light string over a frictionless pulley. They sit on a steel surface, which is fixed, as shown in the figure, with a (let it be alpha lol) = 43.0deg. The coefficient of static friction for aluminum on steel...
Homework Statement
Block B (1kg) is held in contact with block A (3kg). When block B is let go, A is pushed to the right with a force of 160N. Static friction is .50 between the 2 blocks.
Block A pushes on B such that B is not touching the surface upon which A is moving on. It's held in the...
http://puu.sh/4DtNc.png
I solved this question, but I don't understand why this worked. I feel like for the final line in my solution it should just be divided by M1, not the combined mass of both blocks.
Isn't this synonymous with just M1 being pulled up the ramp by a guy at the top...
Homework Statement
There's a picture with the problem attached
A block with mass m = 1.5 kg hangs to the right of two blocks with masses m2 = 2.2 kg and m1 = 1.2 kg which sit on a table. All three blocks are connected with a string and pulley. Neglecting the mass of the pulley, string and any...
Hi guys, it's my first time posting here so please forgive me for anything wrong!
Homework Statement
A block of mass m = 0.570 kg rests on top of a block of mass M = 2.30 kg. A string
attached to the block of mass M is pulled so that its tension is T = 6.20 N at a 20 degree angle to
the...
Homework Statement
Three blocks are on an incline of Theta(a), block 1 has mass of m1, block 2 has mass of m2, and block 3 has mass of m3. Block 2 is being held(theoretically) above the ground by friction between block 1 and block 3. What is the minimum magnitude of force positioned directly...
Homework Statement
A system is composed of two blocks of mass ##m_1## and ##m_2## connected by a massless spring with spring constant k. The blocks slide on a frictionless plane. The unstretched length of the spring is ##l##. Initially ##m_2## is held so that the spring is compressed to...
Homework Statement
Hi all, greetings from aus! having mad trouble with this question:
so I've figured out that the friction limit for block B is 11.35N when it is stationary. Putting my co-ords parrallel to the 15 degree incline means the force due to gravity in the x direction is...
Block 1 has a mass of 2kg and is moving to the right on a frictionless surface at 10m/s. Block 2 is ahead of Block 1, has a mass of 5 kg, and is moving to the right at 3m/s. Block 2 also has a spring attached to its left end, which has a spring constant of 1120 N/m.
When the blocks collide...
Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended 1.24 m, its speed is 3.27 m/s...
Homework Statement
What is the acceleration of this system?
Homework Equations
F=ma
The Attempt at a Solution
I tried the following:
Let blocks with mass 9kg, 4kg and 6kg be m9, m4, m6
This is the free body diagrams I drawn:
Then I applied Newton's 2nd Law:
F = ma...
To understand centripetal force due to friction better, I came up with this problem. I'm not entirely sure of my solution, though, so I'd be glad if someone else took it up too and suggested a way to work it out:
Two identical blocks, each of mass m, connected by a spring of spring constant k...
Conservation law of child's blocks analogy
In Feynman's Lectures on Physics volume one there is an analogy to conservation of energy (though it would equally apply to other types of conservation). The idea is that if a child has n blocks we should always expect there to be n blocks. We may find...
Homework Statement
Two blocks of equal masses are placed on a horizontal table as shown. The bottom block is then pulled with a slowly increasing horizontal force F. The coefficients of static friction for both surfaces are greater than zero and equal to each other.
Here are the options...
Homework Statement
The diagram is here http://img375.imageshack.us/img375/5...ionproblem.png
What is the tension in the cord connecting B and C? How far does A move in the first 0.250 seconds of movement assuming it does not reach the pulley?
Homework Equations
F=ma
The...
1. Two forces are the only forces acting on a 2.8 kg object which moves with an acceleration of 3.8 m/s^2 in the positive y direction. One of the forces acts in the positive x direction and has a magnitude of 6.5 N.What is the magnitude of the other force f2?
Homework Equations
F=ma...
Homework Statement
A block of mass m1 is on top of a block of mass m2. Block 2 is connected by an ideal rope passing through a pulley to a block of unknown mass m3 as shown. The pulley is massless and frictionless. There is friction between block 1 and 2 and between the horizontal surface...
Hello everyone,
Two blocks M and m (M is more massive) are sliding freely with the same initial speed
across a floor with friction coefficient μk > 0, and they
come to a stop. Initially there is a distance x between
them. While they are sliding to a stop,
A) The distance between...
Homework Statement
Two bars of masses ##m_1## and ##m_2## connected by a weightless spring of stiffness ##k## rest on a smooth horizontal plane. Bar 2 is shifted a small distance ##x## to the left and then released. Find the velocity of the centre of inertia of the system after bar 1 breaks off...
Homework Statement
This is a 2-part question
A block of mass m1 is on top of a block of mass m2. Block 2 is connected by an ideal rope passing through a pulley to a block of unknown mass m3 as shown. The pulley is massless and frictionless. There is friction between block 1 and 2 and between...