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
The coefficent of static friction between the floor of a truck and a box resting on it is 0.38. The truck is traveling at 69.7 km/hr. What is the least distance in which the truck can stop and ensure that the box does not slide?
Homework Equations
The Attempt at...
A 3kg block starts from rest at the top of a 30degree incline and slides a distance of 2m down the incline in 1.5s find the magnitude of the acceleration.
I have always though to find the acceleration you can just use x/(t*t) but i use this formula but i couldn't get the same as the book. is...
Homework Statement
This is a concept question rather than a homework question, so i don't have any value for the question.
From the figures below, the object is turning horizontally. how do we know the object will start sliding up or sliding down at what angular velocity if there is no...
A 4 kg block is placed on top of a 8kg block, placed on a table with no friction,which is subject to force of 30N. What is the coefficient of friction needed between the two blocks so that the the top doesn't slide on the other one?
What i did was find the acceleration of the bottom block and...
How is a sliding wheel is opposed by static friction?
Static friction acts only when the body is about to move.
My point is
if the wheel is has a linear velocity and angular velocity than kinetic friction should act on the body rather than static friction.
Homework Statement
A small mass m slides on a hemisphere of mass M and radius R is also free to slide horizontally on a frictionless table. An imaginary vertical line is drawn from the center of the hemisphere to its highest point, where the small mass is originally placed at rest. The angle A...
Homework Statement
There are two tires separated by a few feet, with a weighted beam attached on top of them. The beam's weight isn't distributed evenly. One of the tires is a fixed point. The other tire slides (doesn't roll) 90 degrees. How do you determine the force required to slide the...
Homework Statement
A small cube (m=0.450 kg) is at a height of 393 cm up a frictionless track which has a loop of radius, R = 58.95 cm at the bottom. The cube starts from rest and slides freely down the ramp and around the loop. Find the speed of the block when it is at the top of the loop...
A 44.9-kg seal at an amusement park slides from rest down a ramp into the pool below. The top of the ramp is 1.80 m higher than the surface of the water and the ramp is inclined at an angle of 33.9° above the horizontal. If the seal reaches the water with a speed of 4.51 m/s, what is the work...
Hello:
I have an inclined triangular wedge of angle Ø (meaning, this wedge makes angle Ø with the horizontal) and a block is lying on the wedge. the coefficient of friction between the wedge and block is u.
(a) determine the max value of Ø for the block to remain motionless on the wedge...
Something strange showed up while I was thinking about the following problem: I'd like to prove, by the only mean of the principle of maximum entropy, that the thermodynamic destiny of a block sliding on an infinite horizontal plane is to stop and come to thermal equilibrium with the plane...
Homework Statement
A block of mass m=1.3 kg slides down a frictionless track, as in the attachment diagram. The block is released at height h=4m. The radius of the curvature of the track at the bottom is R=1m. What is the force of the track on the block at A?
Homework Equations...
Homework Statement
Starting from rest, a 5 kg block slides 2.5 m down a rough 30 degree incline. The coefficient of kinetic friction between the block and the incline is 0.436. The acceleration of gravity is 9.8 m/s2.
Find the work done by the force of gravity.
Find the work done by...
How do i solve this? here's how far I've gotten
suppose i have x[q], y[q]=S, the surface of a hill
dy/dx=(dy/dt)/(dx/dt)
atan(dy/dx)= the angle of incline at a location on the hill
-GM*cos(pi/2-atan(dy/dx))=the tangeantal component of acceleration
im ignoring the perpendicular...
Homework Statement
Suppose the rod in the figure has mass m= 0.44 kg and length 26 cm and the current through it is I= 40 A.
Part A: If the coefficient of static friction is mus= 0.45, determine the minimum magnetic field B (not necessarily vertical) that will just cause the rod to...
If we have an inclined plane at angle \alpha and a sphere on that plane it will have angular acceleration due to the friction force. If F_{lim}<mg\sin \alpha , where F_{lim} is the limiting friction will the sphere also slide along the plane?
Problem #1:
The problem is this:
A bar is attached to two rods and its acceleration is increasing towards the right. The bar is located in a uniform magnetic field pointing out of the page, towards you. Thus, the current moves clockwise. Find an equation for the current.
So far, my...
Difficult: Block sliding up moving ramp
Homework Statement
A block of mass m with initial velocity of v0 slides up up a ramp of angle \theta and mass M that is not pinned to the ground. It doesn't reach the top before sliding back down. What is the highest point that the block reaches in...
1. Homework Statement [/b]
Block 1, with mass m1 and speed 3.6 m/s, slides along an x-axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.69m1. The two blocks then slide into a region where the coefficient of kinetic...
Energy "lost" in rolling, sliding and torsion
Hey everybody,
I have a question concerning three states and the state of energy in them.
1. Rolling
2. Sliding
3. Torsion
For example:
If I have a steel cylinder with diameter d on an axis (no friction in the axis) rolling horizontally over a...
Homework Statement
Suppose the rod in the figure below has mass m = 0.375 kg and length 18.5 cm and the current through it is I = 36.2 A.
http://img183.imageshack.us/img183/2059/dgian2757.gif
If the coefficient of static friction is mus = 0.503, determine the minimum magnetic field B...
Homework Statement
If the coefficient os static friction between the incline and block is .3, then what is the minimum force,F, needed to prevent the block from sliding?
m=20kg theta= 50 degrees
Homework Equations
Normal force= mgcosx
Fs= uk mgcosx
The Attempt at a Solution...
Homework Statement
The coefficient of static friction is 0.55 between the two blocks in Figure P8.32. The coefficient of kinetic friction between the lower block and the floor is 0.20. Force FT causes both blocks to cross a distance of 5.0 m, starting from rest. What is the least amount of...
Homework Statement
A particle can slide along a track with elevated ends and a flat central part, as shown below. The flat part has length L = 40 cm. The curved portions of the track are frictionless, but for the flat part the coefficient of kinetic friction is µk = 0.28. The particle is...
hi everyone,
i have slidig gate that i need to install a drive motor. the gate weight is 1500 kg and has 5 v-grove wheels. the dia. of the wheels are 160 mm. We already bought a motor for it but i am concerned about if that motor will be sufficient for this gate. i am trying to calculate the...
Good morning, first post and more than excited that I can get possible help for physics. Only problem I think I have is translating physics problems into soluble questions.
Homework Statement
A hammer slides 2.5 m down a smooth roof which has an incline of 15 degrees.
At the instant the...
Homework Statement
A block starts from rest at a height of 3.1 m on a fixed inclined plane. The acceleration of gravity is 9.8 m/s2 .
If the block continues to slide on the ground with the same coefficient of friction, how far
will the block slide on the ground until coming to rest?
µ =...
Homework Statement
A slide-loving pig slides down a certain 35 degree slide in twice the time it would take to slide down a frictionless 35 degree slide. What is the coefficient of kinetic friction between the pig and the slide?
Homework Equations
fs = Mk * Fn
The Attempt at a...
Homework Statement
I'm positive Part 1 is right, 2 and 3 I'm sketchy with.
1. A race car with mass 1000 kg moves at speed 40 m/s. What is the kinetic energy of the car in kiloJoules? Do not write the unit in your answer.
For this I got 1/2(1000)(40^2) = 800000 convert to kilojoules =...
A 2.20kg textbook is forced against a horizontal spring of negligible mass and force constant 220 N/m, compressing the spring a distance of 0.270 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction 0.30. Use the work-energy theorem to find how far...
Homework Statement
A snowboarder of mass 85 kg slides down the trail shown in the figure below. The first part of the trail is a ramp that makes an angle of 19degrees with the horizontal, and the final portion of the trail is flat. Find the work done by gravity on the snowboarder as she...
Homework Statement
I have determined the solution to my problem however now the problem asks me to plot theta as the block flies off the sphere when Mu k ranges from 0.0 to 0.5 in increments of 0.05 I don't know a great deal about working with Microsoft Excel. Well I do just not enough to...
Homework Statement
A 4.5 kg 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 speed is v0 =...
Homework Statement
A block with a mass of 4 kg slides from rest a distance of 2 m down a frictionless inclined plane where it encounters a spring. It compresses the spring a distance 1.4 m before stopping. The inclined plane makes an angle q = 35° with the horizontal. What is the value of...
**Mass sliding down an inclined plane (True/False)
Homework Statement
A block of mass M is sliding down an inclined plane and is accelerating. Which of the following statements are true?
The acceleration of the block is dependent upon the angle of the inclined plane
The normal force...
A child and sled with a combined mass of 53.8 kg slide down a frictionless hill that is 8.56 m high. If the sled starts from rest, what is its speed at the bottom of the hill?
m/sim not sure how to calculate speed given the information.
help please?
How do you find the direction of force on a ramp due to a sliding block
I thought it would be in the direction of theta on the triangle but that wasnt correct. Thank you so much for your help!
Homework Statement
1. The problem:
Derive an expression in its simplest form to show the relationship between the mass, ramp angle, and acceleration of the sliding object. Explain clearly but briefly the effect of each term in the expression on the actual acceleration, as the ramp angle...
A 4kg wooden block resting on an icy surface (so friction can be ignored) is attached to a horizontal spring (L=1m, k=100N/kg), which is attached on the other end to a vertical wall. A 2g bullet is fired at a speed of 100m/s into the wooden block, pushing it directly toward the wall. What is...
Homework Statement
Mr. Wilson is standing near the top of a ladder 24 feet long which is leaning against a vertical wall of his house. Dennis the little boy next door, ties a rope from his tricycle to the bottom of the ladder and starts to pull the foot of the ladder away from the house...
Homework Statement
A child with poor table manners is sliding his 240 g dinner plate back and forth in SHM with an amplitude of 0.110 m on a horizontal surface. At a point a distance 7.00×10−2 m away from equilibrium, the speed of the plate is 0.350 m/s
1.What is the period?
2.What...
Homework Statement
A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance l apart. A resistor R is connected across the rails and a uniform magnetic field B , pointing into the page , fills the entire region.
a) If the bar moves to the right at speed v, what...
Another Lagrangian problem: Bead sliding along a horizontal rotating ring
Homework Statement
A horizontal ring of mass M and radius a rotates freely about a vertical axis passing through a point on its circumference. If a bead of mass m slides along the ring without friction, what is the...
Physics help?
Homework Statement
a child with a mass m slides down a 4.0 m high slide. starting from rest, the child has a speed of 3.5 m/s at the bottom of the slide. what percent of the gravitational potential energy of the child at the top of the slide hasn't been transformed into...
Homework Statement
Determine the kinetic energy of a bead of mass m which slides along a frictionless wire bent in the shape of a parabola of equation y = x2. The wire rotates at a constant angular velocity \omega about the y-axis.
Homework Equations
T = \frac{1}{2}m(\dot{x}^2 +...
I want to build a porter governor to control the speed of a shaft via a varible dia
double cone pulley. The speed range to be considered is b/w 250-750 rpm. I would like to know the equations involved. My textbook provides theoretical equations, I would be obliged if I could get the actual...
Homework Statement
A brick is sliding down a ramp
Anet / acceleration = .5 m/s^2
m= 2 kg
M = the coefficient of friction = unknown or ?
The Attempt at a Solution
I'm just stuck on the last part
well first this is my work so far:
90-delta=
90 - 35 = 55
Fg= (2)(-9.8)
Fg= -19.6
Fg x = Fg...
Homework Statement
Let there be two spheres, of equal radius but unknown masses (mass isn't important).
Both move down a ramp of angle \theta, where \theta can be any angle but 90 deg. or 0 deg.
The first sphere slides down the ramp with no (negligible) friction. This sphere does...
Homework Statement
"Suppose the sloping surface was very slippery so no rolling occurs (the can slides). Would the can reach the bottom sooner or later compared with the rolling motion? Explain the difference"
I don't know if its relevant, but the slope was 4cm at the high end, and 1.5...
Homework Statement
A block of mass, m, sits atop a semicircular bowl of radius, r, and the angle the radius makes with the horizontal is \theta. Find what angle, \theta, the block will slide off the bowl.Homework Equations
\frac{1}{2}mv^2 + mgy = \frac{1}{2}mv^2 + mgy
\alpha=ar...