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.
URGENT! Find Acceleration of a sliding object
Homework Statement
A 42 kg block of ice slides down a 30 degree plane. Assuming friction is negligible, what is the acceleration of the block down the incline
Homework Equations
F=ma
W=mg
The Attempt at a Solution
I have drawn the...
Homework Statement
A 2-kilogram block is released from rest at the top of a curved incline in the shape of a quarter circle of radius R. The block then slides onto a horizontal plane where it finally comes to rest 8 meters from the beginning of the plane. The curved incline is frictionless...
Question:
A steel washer is suspended inside an empty shipping crate from a light string attached to the top of the crate. The crate slides down a long ramp that is inclined at an angle of 36^\circ above the horizontal. The crate has mass 156 {\rm kg}. You are sitting inside the crate (with a...
Homework Statement
A block of mass m=2.2 kg slides down a 30 degree incline which is 3.6 m high. At the bottom, it strikes a block of mass M=7 kg which is at rest on a horizontal surface. If the collision is elastic, and friction can be ignored, determine (a) the speeds of the two blocks after...
Greetings. I answer a lot of physics questions on another forum and I came across this one. So it's someone's homework problem, but not mine. :-) But as I looked at it, I realized that it's either very simple and I'm missing something, or it's more subtle and I don't have the tools to solve...
Homework Statement
A 10.0 g mass is tied to a string. The string is attached to a 500.0 g mass and stretched over a pulley , leaving the 10.0 g mass suspended above the floor. Determine the time it will take the 10.0 g mass to hit the floor if it starts out 1.50m above the floor.
Homework...
Homework Statement
What is the maximum speed at which a car can negotiate a level curve of 100m without sliding if the coefficient of static friction is .70?
Homework Equations
Ffr≤ coefficient of frictionFn
F=ma
Fc=mv2/r
Cir.=2pir
I know there are a couple more, but I'm not sure...
Homework Statement
In the figure below, a small 60 g block slides down a frictionless surface through height h = 20 cm and then sticks to a uniform rod of mass 105 g and length 40 cm. The rod pivots about point O through angle θ before momentarily stopping. Find θ.
(Picture attached)...
Homework Statement
A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails. A battery that maintains a constant emf \epsilon is connected between the rails, and a constant magnetic field B is directed perpendicularly to the plane...
Homework Statement
A flat round disc of mass 0.6kg is pushed across an icy surface. It has an initial velocity of 3.5ms^-1 and the coefficient of sliding friction is 0.02. Calculate the distance traveled before the disc eventually comes to a rest.
Homework Equations
The only one I can...
Homework Statement
A particle is free to slide along a smooth cycloidal trough whose surface is given by the parametric equations:
x = \frac{a}{4}(2 \theta + \sin{2 \theta})
y = \frac{a}{4}(1 - \cos{\theta})
where 0 <= \theta <= \pi and a is a constant.
(sorry, TeX is not working for...
I am working on a new design on pumps. Would some one help me to calculate the sliding friction if the following are known.
a plate is at an angle at 60 degrees to its horizontal axis.
a flat bearing surface is sliding at 14 pitch dia on the plate. (consider a ball cut into half, Use the...
Homework Statement
In Figure 7-47a, a 1.7 N force is applied to a 5.6 kg block at a downward angle θ = 49° as the block moves rightward through 1.4 m across a frictionless floor. Find the speed vf of the block at the end of that distance if the block's initial velocity is (a) 0 and (b) 1.3...
Homework Statement
Mass m1=25.3 kg is on a horizontal surface, connected to mass m2= 5.10 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 30.9o.
The coefficient of kinetic friction between m1 and the surface is...
Homework Statement
A block of ice with mass 2.0 kg slides 0.90 m down an inclined plane that slopes downward at an angle of 27° below the horizontal. If the block of ice starts from rest, what is its final speed? Friction can be neglected.
m = 2.0 kg
s = 0.90 m
θ = 27°
Homework...
Homework Statement
Located here:http://imgur.com/qP9fd.png"
The Attempt at a Solution
I don't know how to do this problem.
First of all how do I approach it? Should I do a free-body diagram? Should it be done at position 1? How do I account for the different frame of reference...
A 220-kg crate rests on a surface that is inclined above the horizontal at an angle of 18.3°. A horizontal force (magnitude = 501 N and parallel to the ground, not the incline) is required to start the crate moving down the incline. What is the coefficient of static friction between the crate...
Homework Statement
An 8.77-kg block slides with an initial speed of 1.58 m/s down a ramp inclined at an angle of 28.5° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.69. Use energy conservation to find the distance the block slides before coming to...
Homework Statement
I think I will start with the figure below:
The wire of infinite length rotates about the point "a" with constant angular speed. The bead starts out at rest. There is no friction or gravity.
I have already derived the equations of motion for this system (I used...
[b]1. A 1300 N crate slides 15 m down a ramp that makes an angle of 40 degrees with the horizontal.
[b]2. F therm = Fk\DeltaX
[b]3. I understand how to solve this with the coefficient of friction given, but how can I without the problem stating \mu?
Homework Statement
A frictionless track is to be built as shown, with L= 5.1 m and H= 2.8 m. In order to get the cart to slide from the top to the end of the track in the minimum time, how long should the distance D be? Assume that the speed of the cart on the horizontal surface is the same...
Homework Statement
A 3.0kg block sits on top of a 5.0kg block which is on a horizontal surface. The two blocks are connected by a string; the string connects the top to the bottom with a pulley. The 5.0kg block is pulled to the right with a force. The coefficient of static friction between all...
Homework Statement
A 125. gram bullet traveling at 300. m/s strikes and sticks into a stationary 5.00 kg block of wood. The combined bullet + wood initially slides on a horizontal frictionless surface until they encounter a second horizontal surface with a coefficient of kinetic friction...
1. In Figure 8-49, a block is sent sliding down a frictionless ramp. Its speeds at points A and B are 1.90 m/s and 2.60 m/s, respectively. Next, it is again sent sliding down the ramp, but this time its speed at point A is 3.85 m/s. What then is its speed at point B?
Figure 8-49...
A 330-kg piano slides 3.6 m down a 28º incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.40
what is the work done by the normal force?
If someone could let know how to find FN,
would it...
Homework Statement
The data in my lab suggests that the mass of the block, M, does not have an effect on the inclination of the plane needed to have the block slide down with uniform velcoity.
But its asking why this is so? And I do not know why! Someone please help me ASAP.
Also, it...
I studied physics a long time ago and somebody just asked me this question. After trying for a while I couldn't work it out.
The situation is this: there's a chain of length $l$ on a table, of which a portion, of length $x_0$, is hanging out (enough so that when you stop holding it down, the...
Homework Statement
A box is placed on an inclined plane of angle \theta. There is no fiction between the box and the plane nor between the inclined plane and the floor. The mass of the box is m_1 and the mass of the inclined plane is m_2 .
Find the acceleration of the box and that of...
Hey all,
I was wondering about a box that is sliding down what is basically a half pipe. There are 3 ramps, and I can get the correct sliding on the first ramp, but I can't figure out how to make it move to the next ramp. I am posting my physics code if anyone is interested...
Homework Statement
A 50 kg mass is released from rest and begins to slide from the top of the incline (2.0 m). Th coefficient of kinetic friction between the mass and the inclines u
how much work does gravity do on the mass by the time it slides to the bottom of the ramp if the angle theta...
Homework Statement
"A 60kg boy rides down an icy hill of 19º slope while standing on a 2.6kg flat-bottomed bathroom scale. Assume there is no frictional force between the bottom of the scale and the hill. The static friction force the scale exerts on the boy is ____.
Homework Equations...
Homework Statement
A block of mass "m" is placed on an incline of angle \theta and mass "M", which is placed on a horizontal surface (the ground) and release from rest. Both the block and incline start accelerate. All surfaces are frictionless. Find the acceleration of the block with respect...
Homework Statement
A 75 kg box slides down a 25 degree ramp with an acceleration of 3.60 m/s/s
Find the coefficient of kinetic friction (I'll use "uk") between the box and the ramp.
Find the acceleration for a 175 kg box.
Homework Equations
F=ma
Fg= mXg (g=9.81 m/s/s in my...
Homework Statement
At the top of the ramp the body is stopped and then released. It slides down the ramp against a friction force of f= 10 Newtons. Find the body's change in kinetic energy in Joules after traveling a distance s= 3 m down the ramp.
Homework Equations
There are three...
Is it possible to make the coefficient of friction between a ball and an inclined plane low enough so that a ball will silde down the plane and not roll down the plane?
Homework Statement
A block (m1) of mass 2.172 kg is placed in front of a larger block (m2) of mass 5.753 kg in such a way that only m2 is in contact with the table (m2 is on the right, and m1 is on the left. there is negligible friction between m2 and table). The static friction between m1...
Homework Statement
See attachment!
Homework Equations
Fk=UkN
The Attempt at a Solution
I can't find a way to start this problem can someone guide me please!
Homework Statement
There is a sliding door lifted at a constant rate by two cables, A and B. The sides of the door fit loosely into grooves in the walls.
Dimensions of door: 9 ft tall by 10 ft wide
Weight of the door: 200 lbs
Cable A is attached at the top of the door, 2 ft from the...
Homework Statement
A thin ring of mass M and radius R rotates around its vertical axis. A small ball of mass m can slide, without constraint nor friction, on the ring. If the angular speed of the ring when the ball is at the top is [\tex]\omega_0[\tex], what is the angular speed when the ball...
Hey guys,
I'm looking to calculate the initial velocity of a large object sliding to a stop over a surface. This is easy without the drag force of the air, but I'd like to include that to prove a point in my research. As a quick background, I haven't done a differential equation in over a...
Okay, first a brief intro. I studied math/physics extensively as an undergrad...but that was over 10 years ago now. My day job keeps me doing more basic physics and math regularly, but I haven't, for example, solved a differential equation in over a decade! Anyway...
I'm trying to...
help please I don't know what to do with this problem can someone please tell me how to solve the following problems, i need to know how to solve and get the right answers not just get the right answers.
A force of 1000N is applied to a 1200kg car if the coefficient of the rolling friction is...
A conducting bar of length L = 21.2 cm and mass M = 60.0 g lies across a pair of conducting rails. The contact friction between the bar and the rails is negligible, but there is a resistor at one end with a value R = 30.0 Ohms. Initially the rod is given an initial speed of v0 = 64.0 meters per...
This is neither homework nor a question from an exam.
I am an aging engineer and I am reviewing all of the calculus that I have forgotton. On p.410 of 'Calculus with analytic geometry,' 5th ed. by Howard Anton, Chap. 7 technology exercises, problem #15, paraphrased slightly to be (hopefully)...
There is a small object, which mass is m on the top of hemisphere, with the mass of M.
the size of the object is neglectable. Also, the radius of hemisphere is R.
There is no friction between the hemisphere and the object, and the hemisphere and the surface. What if we slightly hit the...
hey guys, I've been given an assignment on the topic of eddy currents and magnetic induction. We have been given info that when a magnet slides down an incline over a magnetic sheet, the eddy currents in the metal acts as a braking mechanism (lenz's law).
I've done some research and what i...
Does anyone know the phi factors for overturning, sliding, and soil bearing in a small reinforced footing? If you could site the precise source too, that'd be great. I don't have access to many up to date specs and codes :/
Homework Statement
a cart slides down an iced incline that is 159m high.
initial speed is 0m/s
acceleration of gravity is 9.8 m/s^2
neglect friction, air resistance
determine carts speed at the bottom of the hill
Homework Equations
v = u + at, but no time is mentioned
v^2 = u^2 + 2ah...
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...