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 child starts from rest and slides down a frictionless slide. In terms of R and H,
at what height h will he lose contact with the section of radius R?
(child starts at the top with height H, at the bottom the slide flattens out and then forms a quarter circle to the...
Homework Statement
A person wants to push a lamp(mass 9.6 kg) across the floor a) Assuming the person pushes at a height of 60 cm above the ground and the coefficient of friction is 0.20, determine whether the lamp will slide or tip over b) Calculate the maximum height above the floor at which...
Homework Statement
A bowling ball is released without spin. How far does it travel before its motion is pure, rolling motion? No data is given, it asks for an order of magnitude estimate.
Homework Equations
k = mv^2/2
k = Iw^2/2 + mR^2w^2/2
I = 2MR^2/5
torque = Ialpha
torque = fk(R)...
A particle of mass m slides down a fixed, frictionless sphere of radius R. starting from rest at the top. Theta is the amount of degrees down the side of the sphere that the particle has slid...
a. In terms of m, g, R. and theta, determine each of the following for the particle while it is...
Homework Statement
A large sphere was built, with a radius of about 5. Imagine that such a sphere has a radius "R" and a frictionless surface. A small block of mass "M" slides starts from rest at the very top of the sphere and slides along the surface of the sphere. The block leaves the...
Homework Statement
A boy sits on top of an igloo shaped like a semi-circle of Radius R. He begins to slide down the semi-circle. At what height above the ground does the boy slide off the semi-circle? Assume g=9.8 m/s2, and no friction.
http://img207.imageshack.us/img207/4010/probmd1.jpg...
Hi
I am working on an assignment and I honeslty am completely baffled with this question. I have no idea how to go about trying to figure it out as its purely conceptual based. If anyone has any info that might help, I am all ears. The problem is as follows and I am attaching the diagram as...
a 50 kg wagon is being pushed up a 15 degree incline. The coefficient of friction between the wagon and the slope is 0.15. A 15 kg box sits on top of the wagon and the coefficient between the wagon and the box is 0.30. What is the maximum force that you can push the wagon up the slope with...
(I know this type of problem has been discussed on here before, but I still don't understand what to do next)
The attached drawing shows a large cube (mass=55kg) being accelerated across a horizontal frictionless surface by a horizontal force P. A small cube (mass=4.5kg) is in contact with...
Can i get some help on this problem?
A conducting bar of length L = 25.6 cm and mass M = 35.0 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 = 45.0 Ohms. Initially the rod is given an...
http://img244.imageshack.us/img244/1565/mfsto2ie5.jpg
Hi all,
Would some one please take a look at this problem for me? I am trying to work out this problem, but I have some trouble...
The coefficient of kinetic friction between the dresses and the floor is μk. The ground exerts upward...
Think about 2 objects (one rolling one sliding) down an incline. In terms of energy, see what you came up with and how they differ...be verbose!
All right I know that the rolling object would go down the incline faster and...i'm not sure but I think...the sliding one would gather the most...
Hello there, this is my first posting on this board. I am a third year physics major and I've taken a lot of courses but I've always just scraped by with a large amount of help from small groups. I'm thinking about reconsidering my major because I feel like I no longer can understand the...
Hi. My question is this. A uniform rod of length 2L is held resting on a horizonal table with length L+a projecting over the edge. If the support is removed, show tthat the rod willb egin to slide over hte ege when it has turned through an angle tan^-1(mu*L^2/(L^2+ 9a^2)). mu is the coeffiecent...
Problem: A 65kg create is to be accelerated at 7 m/s/s up an incline making an angle of 25 degrees with the horizontal. If the coefficient of sliding friction is .2, what force is needed to accomplish this motion?
Well I've tried manipulating this equation to give me either a Ff or an Fn for...
A 10kg box slides 4.0m down a frictionless ramp, then collides with a spring whose spring constant is 250 N/m. (Also, the ramp is angled at 30 degrees).
a). What is the maximum compression of the spring?
b). At what compression of the spring does the box have its maximum velocity?
I started...
My first post :D
I have an incline of angle (θ) to the horizontal, and a chain of length (l) of a uniform mass (m), I place the chain so that one end is at the bottom of the incline, the entire system is frictionless.
I need to find what the velocity is as the last end leaves the incline, and...
Sliding Block Problem (Please Help!)
http://img441.imageshack.us/img441/1809/physicsyj6.jpg
The drawing shows a large cube(mass=25 kg) being accelerated across a frictionless surface by a horizontal force P. A small cube(mass=4.0 kg) is in contact with the front surface of the large cube...
A box of textbooks of mass 24.4 rests on a loading ramp that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.230 and the coefficient of static friction is 0.360 . I figured out that the angle is 19.8 and acceleration is 1.2m/s^2. I would like to know how to...
A firefighter with a weight of 712 N slides down a vertical pole with an acceleration of 3.00 m/s^2, directed downward. What are the magnitudes and directions of the vertical forces (a) on the firefighter from the pole and (b) on the pole from the firefighter?? I think the magnitudes would be...
I have a question about this problem:
"A block is given an initial velocity of 5.00 m/s up a frictionless 20.0(degrees) incline. How far up the incline does the block slide before coming to a rest?"
The book gives a clue stating that mgx = -mgsin20.0 and mgy=-mgcos20.
My question is...
The 30 lb box A is released from rest and slides down along the smooth ramp and onto the surface. Determine the distance s from the end of the surface to where the box stops. The coefficient of kinetic friction between the cart and the box is \mu_k\,=\,0.6...
https://www.physicsforums.com/attachment.php?attachmentid=6991&stc=1&d=1148442038
rocket1.JPG
Given the data in the drawing, find the total distance the sled travel.
I got stuck after summing all the forces in the X direction. Help! Here's what i have so far.
Sum of all Forces in X Dir...
In Fig. 8-49, a block slides down an incline. As it moves from point A to point B, which are 7.2 m apart, force acts on the block, with magnitude 4.4 N and directed down the incline. The magnitude of the frictional force acting on the block is 5.5 N. If the kinetic energy of the block increases...
Problem 1:
I have a mathematical pendulum with a mass m connected to a string of length l. The pendulum is damped by air resistance that is proportional to the velocity, Ffric = -k*v. I need to derive the damping effect the air resistance has on the pendulum - that is, the decrease of the...
Problem 1:
I have a mathematical pendulum with a mass m connected to a string of length l. The pendulum is damped by air resistance that is proportional to the velocity, Ffric = -k*v. I need to derive the damping effect the air resistance has on the pendulum - that is, the decrease of the...
3.4kg rock starts at 25 cm on a plane with a 33degree angle. upon reaching the bottom the box slides along the horizontal. friction coeff is
.19. how far does the box slide on the horizontal before coming to a rest?
ok i need to use .5MVi2 + MGy1 = .5MVf2 + MGy2 + Ffrd
first i need to...
Two blocks with masses 4.0kg and 8.0 kg are connected by a string and slide down a 30 degree inclined plane. The coefficient of kinetic friction between the 4.0 kg block and the plane is 0.25; that between the 8.0 kg block and the plane is 0.35
a) calculate the acceleration of each block...
1) I would like to know if I found the deceleration correctly.
Since the force of friction is coefficient of friction * Normal Force, and F = ma, would the deceleration be force of friction/mass?
2) How do I calculate the total distance a sliding block traveled? (The block was pushed.)
Here is the question:
Block A, with weight 3w, slides down an inclined plane S of slope angle 36.9 degrees at a constant speed while plank B, with weight w, rests on top of A and is attached by a cord to the wall. If the coefficient of kinetic friction is the same between A and B and between S...
Can anyone help me with this problem?
A flight attendant pulls her 70.0 N flight bag a distance of 258 m along a level airport floor at a constant speed. The force she exerts is 32.0 N at an angle of 52.0° above the horizontal. Find the work she does on the flight bag and the work done by the...
I've been looking at this question for the last two hours, here's the question and what I've done so far
The picture shows 3 blocks, A B and C, block C is ontop of block A. Block B is connected to block A by a rope, and is hanging over the edge.
here it is,
Blocks A and B have weights...
Hi, could someone please help me? Here is the problem:
"A 265 kg piano slides 4.6 m down a 30° incline and is kept from accelerating by a man who is pushing back on it parallel to the incline (Fig. 6-36). The effective coefficient of kinetic friction is 0.40.
(a) Calculate the force...
A 2.0 kg wood box slides down a vertical wood wall while you push on it at a 45 degree angle. What magnitude of force should you apply to cause the box to slide down at a constant speed? (Problem 51, Chapter 5, Knight)
I can't figure out this problem and do not have the text to refer to...
The problem is as follows.
We know the angle of the wedge to the horizontal. Let's say its a given.
We don't know the mass of the wedge or the mass of the block.
The planes are frictionless. The mass rests on a "frictionless table".
There is a force pushing the entire system. The...
A 36 kg block of ice slides down a frictionless incline 1.2 m long and 0.48 m high. A worker pushes up against the ice, parallel to the incline, so that the block slides down at constant speed.
(a) Find the magnitude of the force exerted by the worker.
(b) Find the work done on the block by...
Two masses m1=100g and m2=200g slide freely in a horizontal frictionless track and are connected by a spring whose force constant is k=.5N/m. FInd the frequency of oscillatory motion for this system.
I don't really know how to go about this problem. I'm assuming that the equation to find...
A crate of oranges weighing 180N rests on a flatbet truck 2.0m from the back of the truck. The coefficients of friction between the crate and the bed are us=0.30 and uk=0.20. The truck drives on a straight, level highway at a constant 8.0 m/s. (a) What is the force of friction acting on the...
"a 5m ladder is placed against a wall. the top of the ladder is sliding down the wall at 0.5m per second. at what rate is the bottom of the ladder moving away from the wall when the bottom of the ladder is 3m from the wall. ? "
Dirac.
Hey folks,
I was trying to work out a problem on conservation of energy and am totally stuck. Was hoping someone could help... the problem was this...
A 38 kg block slides with an initial speed of 7 m/s up a ramp inclined at an angle of 35o with the horizontal. The coefficient of kinetic...
The coefficient of friction between a certain brass block and a large revolving turntable is µ = 0.09. How far from the axis of rotation can the block be placed before it slides off the turntable if the turntable rotates at a constant rate of 33 1/3 rev/min (so that it requires time T = 60/33.33...
Hello,
Below are two questions i am unsure of. :rolleyes: Can someone please verify my answers and tell me if i am doing something wrong. thank-you for your help. :smile:
1. A rigid beam 30 m long is leaning against a vertical wall. If the bottom of the beam is pulled horizontally...
A wooden block slides directly down an inclined plane, at a constant velocity of 6 m/s. How large is the coefficient of kinetic friction, if the plane makes an angle of 25 degrees with the horizontal?
An eraser slides down a slope of height 1m that makes an angle of 35 degrees with the ground. It takes the eraser 1,8s to do this. Find the coefficient of friction.
I have no clue how to do this. I've not been able to solve any of the equations I've tried, because there is always the mass of...
There is a block of W Newtons and a ramp is A degrees above the horizontal. At this angle the block begins to slide. How do I find the force of friction and then it should be quite easy to find coefficient of friction. (I already have already solve for the normal force Fw and the force...
I've been working on this problem all afternoon and i just have a complete blackout and no idea how to solve it:
the question is what force, parallel to the plane has to be applied if the object is moving up an inclined speed at a steady speed of 3.2 m/s.
i have the object's mass and the angle...
I have several problems like this and am confused at how to solve. A small box of mass 9 g is initially at some angle with respect to the ploar axis of a spherical dome of radius 3 m as shown in the figure. Starting from rest, the box slides down along the frictionless spherical surface. The...
Does anybody know a website that gives sliding friction (blocks on planes, etc.) example problems? I am trying to figure out how to calculate the coefficient of sliding friction, but I'm having problems doing so.
I know the general equation is:
coefficient of sliding friction = friction...