A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide (frequently flat) pieces along certain routes (usually on a board) to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a larger picture (like a jigsaw puzzle), numbers, or letters.
Sliding puzzles are essentially two-dimensional in nature, even if the sliding is facilitated by mechanically interlinked pieces (like partially encaged marbles) or three-dimensional tokens. As this example shows, some sliding puzzles are mechanical puzzles. However, the mechanical fixtures are usually not essential to these puzzles; the parts could as well be tokens on a flat board that are moved according to certain rules.
Unlike other tour puzzles, a sliding block puzzle prohibits lifting any piece off the board. This property separates sliding puzzles from rearrangement puzzles. Hence, finding moves and the paths opened up by each move within the two-dimensional confines of the board are important parts of solving sliding block puzzles.
The oldest type of sliding puzzle is the fifteen puzzle, invented by Noyes Chapman in 1880; Sam Loyd is often wrongly credited with making sliding puzzles popular based on his false claim that he invented the fifteen puzzle. Chapman's invention initiated a puzzle craze in the early 1880s.
From the 1950s through the 1980s sliding puzzles employing letters to form words were very popular. These sorts of puzzles have several possible solutions, as may be seen from examples such as Ro-Let (a letter-based fifteen puzzle), Scribe-o (4x8), and Lingo.The fifteen puzzle has been computerized (as puzzle video games) and examples are available to play for free on-line from many Web pages. It is a descendant of the jigsaw puzzle in that its point is to form a picture on-screen. The last square of the puzzle is then displayed automatically once the other pieces have been lined up.
Homework Statement
A block of mass m slides without friction along the looped track shown in figure 6-39. If the block is to remain on the track, even at the top of the circle (whose radius is r), from what minimum height h must it be released. Next, if the actual release height is 2h...
Homework Statement
A large Wedge with mass 10 kg rests on a horizontal frictionless surface (think right triangle on a unit circle, theta <90 deg.). A block with a mass of 5 kg starts at rest (near the top) and slides down the inclined surface of the wedge, which is rough (does this imply...
***EDIT***Sorry for a second there, I tried to convince myself that FN was not equal to Fg, but it must.
Given the coefficient of static friction (.4) between an egg and a pan, what is the smallest angle from the horizontal taht will cause the egg to slide?
Here's my drawing...
Homework Statement
Mass m1=34.3 kg is on a horizontal surface, connected to mass m2= 5.30 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 201.7 N acts on m1 at an angle of 32.1o.
The coefficient of kinetic friction between m1 and the surface is...
Homework Statement
Two point charges Q1 = 69.5 μC and Q2 = 19.9 μC are fixed on the two ends of the diameter of a semi-circle with a radius of r = 21.3 cm as shown in the figure...
Hello,
I need help understanding the kinematics of an object sliding along a surface (not just a plane, but a changing surface), as I cannot find any information on this topic. Let's assume I have an object on a frictionless smooth continuous/differentiable surface in the field of gravity and...
Homework Statement
Two blocks are on a frictionless track with a vertical, quarter circle, and 30 degree incline. Released from rest at point A, 1 kg smaller block 1 slides to B and makes an inelastic collision with 5 kg stationary larger block 2. The collision sents block 2 up the ramp. The...
Hi, I have a problem that I am working on and I am running into some questions.
The question states (the image is attached):
This system consists of the disk D and the bar B that is welded at point Q.
The other end of this bar is fixed at point O. Assume that the disk rolls on the
thin...
I can't find anything on the internet about this...
How is it done?
I've got a smooth curve given by these parametric equations:
y = 5cos( theta )+5; x = 5sin( theta )
taking g = 9.81
how can I model the position of the ball as a function of time?
Or how can I model it so that i can...
Homework Statement
A 14 kg box slides 4.0 {\rm m} down the frictionless ramp shown in the figure , then collides with a spring whose spring constant is 210 N/m.
a)What is the maximum compression of the spring?
b)At what compression of the spring does the box have its maximum...
Homework Statement
In the figure below, a block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial...
Homework Statement
A block of mass m slides down the incline of a triangular block of mass M. The angle of inclination is \theta. The trianguilar block is free to slide on a horizontal plane. Assume that all surfaces are frictionless. What is the acceleration of the mass M?
Homework...
Homework Statement
Two packages at UPS start sliding down the 20° ramp shown in Figure P8.25. Package A has a mass of 5.5 kg and a *coefficient of friction of 0.20. Package B has a mass of 10 kg and a coefficient of friction of 0.15. How long does it take package A to reach the bottom...
Homework Statement
A small rock with mass 0.22 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.60 m (the figure ). Assume that the size of the rock is small compared to R, so that the rock can be treated as a particle, and assume...
Homework Statement
You are driving with a friend who is sitting to your right on the passenger side of the front seat of your car. You would like to be closer to your friend so you decide to use physics to achieve your goal by making a quick turn.
If the coefficient of static friction between...
If an object is sliding down a frictionless ramp will the force on the object by the ramp just be 0?
or will it be equal to the normal force?
Thanks :smile:
Coefficient of Friction of object sliding down ramp.. need help!
Homework Statement
An 10.0kg object slides down an inclined plane that is 10.0m in length. THe height of the incline is 6.0m and the speed of the object at the bottom is 9.0 m/s.
What is the coefficient of friction of this...
Homework Statement
How to find the uk of a box sliding down a hill with only an angle and acceleration
Given: angle= 30 acceleration= 3.1 m/s2
Homework Equations
1. uk= fk/fn 2. f=ma
The Attempt at a Solution
i did the cosine of my angle but i am not sure that is the answer
Homework Statement
Two blocks of mass m1 = 1kg and m2 = 2kg, connected through a rope, slide across an inclined plane with inclination of
\theta = \frac{\pi}{6}
The friction coefficient equals 0.5
3.1 Calculate the total work done by the friction force that acts on the first block after it...
Homework Statement
http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/sp08/fig23.gif
A child sends a hula hoop (moment of inertia I = MR^2) sliding without rolling across a smooth floor. The hoop has an initial velocity Vsliding. The hoop...
Homework Statement
A box initially at rest at the top of a frictionless ramp is allowed to slide to the bottom. At the bottom its speed is 4 m/s. Next, the box is again slid down the ramp, but this time it does not start from rest. It has an initial speed of 3 m/s at the top. How fast is it...
A 5kg block is placed on top of a 15kg block that rests on a frictionless table. The surface between the top and bottom blocks is roughened so that there is no slipping between the blocks. A 40N horizontal force is applied to the top block. What is the minimum coefficient of static friction...
Hi! This is my first post, so if I do anything incorrectly I apologize :redface:
Homework Statement
A block of wood slides first down and then up a ramp inclined at 25°. Assume the block/ramp kinetic friction coefficient = 0.2. The block starts from rest at position located 3.2 m up...
Homework Statement
A block of steel is placed 120cm from the end of a sheet of metal. The sheet is raised just until the block begins to slide, which occurs when the block as 35cm above the surface of the table. the block is allowed to slide freely down the sheet until it slides onto the...
A very heavy unit sitting on a plane at 1degree angle... i checked that with friction only the unit will stop sliding
Vi = initial Velocity is 10m/hr
Vf = Final velocity is 0 (as it has stopped)
the question is hom much distance will it cover until stopping completely and how long will it...
Homework Statement
A point particle of mass m is sliding down a wedge inclined at an angle of \alpha to the horizontal. The wedge has a mass m and is free to slide on a smooth horizontal surface. When the mass has fallen a height h, what will be the speed of the wedge?
Homework Equations...
Homework Statement
A bullet of mass m is fired with horizontal velocity u at a block of mass M. The bullet embeds itself inside the block. The force of resistance of the block is constant.
Find the depths of penetration in the cases:
a) The block is held fixed.
b) The block is free to...
Homework Statement
A particle of mass m is tied to the middle of a light, inextensible string of length 2L. One end of the string is fixed to the top of a smooth vertical pole. The other end is attached to a ring of mass m, which is free to slide up and down the pole. The particle moves in a...
Homework Statement
Assignment No.4. Harbour Breakwater Evaluation.
Consider a harbour breakwater constructed with massive concrete tanks filled with sand. It is necessary to evaluate the risk that the breakwater will slide under the pressure of a large wave during a major storm...
Homework Statement
A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.18 and the push imparts an initial speed of 4.1 m/s?
Homework Equations
MG of the object = mass * 9.8
Friction = mg * 0.18
The...
Homework Statement
A block of mass m lies on a wedge of mass M as shown in figure. Answer the following parts separately.
(a) - With what minimum acceleration must the wedge be moved towards right horizontally so that the block m falls freely?
(b) - Find the minimum friction co-efficient...
1. a box of mass 12 kg slides at a speed of 10 m/s acros a smooth level floor, where it enters a rough portion 3.0 m in length. In the rough portion, the box experiences a horizontal friction force of 72N.
a) how much work is done by the frictional force?
b) what is the velocity of the box...
1. a box of mass 12 kg slides at a speed of 10 m/s acros a smooth level floor, where it enters a rough portion 3.0 m in length. In the rough portion, the box experiences a horizontal friction force of 72N.
a) how much work is done by the frictional force?
b) what is the velocity of the box...
If I have an extended (uncoiled) rope sitting on a table, and part of it is hanging off the edge of the table so that it starts to slide (there is friction), how would the normal force of the table acting on the rope change as it slides off? This has been bugging me for weeks, because people...
This isn't homework, but I thought that it's probably better in here, as it's a fairly quick question.
OK, so I have 2 identical balls (exact same mass and radius). They rest on the same position on 2 identical slopes (same gradient) and begin to move down the ramps. The only difference is...
So I was helping my girlfriend with this problem and we are convinced we are correct, but her professor disagrees. So I am taking it to PF court :smile:
Homework Statement
In the figure, all 3 blocks have the same mass. A force pulls the system along the frictionless floor and the 3...
Homework Statement
A Planck of length L2 leans against a wall. It starts to slip downwards without friction. Show that the top of the plank loses contact with the wall at 2/3 of it's original height.
Homework Equations
F*R = torque
Moment of Inertia of Rod (I) = 1/3 M4L^{2}
Mgh =...
Homework Statement
A block is sent sliding up a 50 degree ramp at an initial speed of 9m/s. The coefficient of kinetic friction between the ramp and the block is 0.51. Find the acceleration of the block.Homework Equations
Fk = (Fn)uk
F=maThe Attempt at a Solution
umgsin50 = ma
ugsin50 = a...
Starting from rest, a 5.00 kg block slides 2.50 m down a rough 30.0 incline. The coefficient of kinetic friction betwen the block and incline is .436
i need to find the work done by the force of gravity, work done by the friction force between block and incline and the work done by the normal...
Homework Statement
In a physics lab, a cube slides down a frictionless incline as shown in the figure , and elastically strikes another cube at the bottom that is only 1/6 its mass. If the incline is 30 cm high and the table is 90 cm off the floor, where does each cube land?
Homework...
Homework Statement
Two blocks, of weights 3.6 N and 7.5 N, are connected by a massless string and slide down a 30° inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.10; that between the heavier block and the plane is 0.20. Assuming that the...
Homework Statement
A m = 2.7 kg wood box slides down a vertical wood wall while you push on it at a θ = 35° angle. What magnitude of force should you apply to cause the box to slide down at a constant speed?
Homework Equations
The Attempt at a Solution
I got 64.5766 N for the...
what is the required force to start moving a sliding door weighing 100 kg with two rollers.
what are the forces acting on the system?
shall i used rolling friction on this?
what formula to use?
thanks a lot.
The two blocks shown above are sliding across a frictionless surface by a force F from the left. The two blocks are not attached but the coefficient of static friction between the two is μs = 0.39. The mass of the smaller block is m1 = 14 kg and the mass of the larger block is m2 = 80 kg.
a)...
Homework Statement
Johnny jumps off a swing, lands sitting down on a grassy 20 degree slope, and slides 3.5m down the slope before stopping. The coefficient of kinetic friction between grass and the seat of Johnny's pants is 0.5
Homework Equations
F=ma
Frictional force = \muN...
1. The Problem
Two small blocks, each of mass m, are connected by a string of constant length 4h and negligible mass. Block A is placed on a smooth (frictionless) tabletop as shown above, and block B hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B...
Homework Statement
A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 30 ^\circ angle. The block's initial speed is 10\;{\rm m}/{\rm s}. The coefficient of kinetic friction of wood on wood is \mu_k=.200.
What speed does it have when it slides back down to its starting...
Homework Statement
A block with mass m = 5.0 kg slides down an inclined plane of slope angle 36.5o with a constant velocity. It is then projected up the same plane with an initial speed 1.05 m/s. How far up the incline will the block move before coming to rest?
The Attempt at a Solution...
1. A block of mass m2 = 4.00 kg block is placed on top of another block of mass m1 = 12.0 kg block that rests on a frictionless, horizontal table. The coefficient of static friction between the two blocks is 0.600.
http://www.flickr.com/photos/43001762@N07/3963579065/
(a) What is the maximum...
Homework Statement
A block of mass m is pulled across a level surface by a rope that makes an angle θ with the horizontal. The coefficient of friction is μ.
(a) Determine the amount of force F required to slide the block at a constant velocity.
(b) Determine the optimum angle at...