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 box of textbooks at unknown mass rests on a loading ramp that makes an angle α = 16o with the horizontal. The coefficient of static friction is 0.30, and kinetic friction is 0.25. Then the box is released. (a) Will it start sliding down the ramp? (a) Find the normal force...
Homework Statement
Object B with mass m is sliding on an object A with mass M. Object A is being pulled by a string with acceleration A. There is no friction. (Picture Uploaded)
1) Find the maximum value of A that allows m to stay on M (sliding)
2) Find the x and y value of the acceleration of...
Homework Statement
An object slides across a table at a constant 8.0 m/s to the right. The net force is...
A) zero
B) equal to the weight
C) equal to the mass times the velocity
D equal to the friction force
Homework Equations
N/A
3. The Attempt at a Solution
Bu narrowing it down i don't...
Homework Statement
Brick is sliding off a roof, starts at the peak of the roof (7.0 m above ground), slides down roof with kinetic friction value of 0.28, very edge of roof is 4.0 m above ground. Where does the brick land on the ground?
Please see image - http://imgur.com/wNdtlWD
Homework...
Homework Statement
I'm designing a device for changing a load position from vertical to horizontal. It has a wheeled frame (2) which allows an operator to transport the load after reorientation.
The combined centre of gravity of a rotating platform (1) and the load moves forward due to...
1. The Question
Unable to find the work done by spring on the object sliding down the rod as shown below:
Homework Equations
Work Done by Spring Force : -1/2 * KΔx2 --(1)
where k = Spring Constant
Δx = Change in Spring Length[/B]
3. Where the problem occurred
While seeing the solution...
Homework Statement
Component A is pushed vertically down with a known force F into component B. The angled surface of B is parallel to the angled surface of A. The contact between A and B is rough and so is the contact between B and the ground. The coefficients of friction are known and so is...
Homework Statement
A puck is sliding on flat ground with initial speed to 4 m/s and comes to rest after 2 s. Aprox. which is the coefficent of kinetic friction between puck and ground.
0.9
0.6
0.5
0.4
0.2
I don't know how to solve for this. I ended up in this class accidently and never took...
Homework Statement
A uniform rod AB of length L and mass m1 is connected by a pin joint to the center of a
uniform disc of radius R and mass m2.
The system is placed in a vertical plane (as shown in Figure 2) and released from rest with
θ=45°.
(a) Draw the free-body diagrams for the rod and the...
Homework Statement
[/B]
Mass m starts sliding down on a rough surface with coefficient of friction μ. it reaches point B and starts sliding frictionlessly till it reaches point D without velocity, i.e. without escaping the arc.
What is the maximum length AB=x0 not to escape the arc.
What is...
Homework Statement
An electric motor is used to pull a 125 kg box across a floor using a long cable. The tension in the cable is 350N and the box accelerates at 1.2m/s2 (forward) for 5.0s. The cable breaks and the box slows down and stops. Calculating the coefficient of kinetic force?
Given...
I have been teaching Physics at the introductory level now for over 30 years. In that time I have taught a lot of labs on friction. Using the small masses readily available in the lab and using motion detectors to measure the velocity of the objects neither I nor any of my students has ever...
Homework Statement
i can't understand why when the total moment at B is positive , the object is not sliding ? can someone help to explain ?
Homework EquationsThe Attempt at a Solution
Homework Statement
A particle is placed on top of a smooth (frictionless) sphere of radius R. If the particle is slightly
disturbed, at what point will it leave the sphere?
Homework Equations
Same as first question, just
F = ma = ΣF_i
The Attempt at a Solution
Similarly, we want to know when...
Homework Statement
Two long rods with distance between them a=100mm, over those two rods there's another rod sliding, friction between them is negligible. The rods are placed in homogenous magnetic field whose B is equal 1T, with direction shown in the picture, between the rods there is voltage...
Homework Statement A block of 55 g is sliding down a ramp of 35 degrees of inclination.
The hypotenuse of the ramp is 63 cm and the height is 36 cm. vi = 0 as the block starts at rest.
Homework Equations
vf = vi + a(t)
d = vi*t + (a(t)^2)/2
kinetic energy = (mv^2)/2
The Attempt at a Solution...
Homework Statement
The sliding glass door rolls on the two small lower wheels A and B. Under normal conditions the upper wheels do not touch their horizontal guide. (a) Compute the force P required to slide the door at a steady speed if wheel A becomes "frozen" and does not turn in its bearing...
I have been working on designing something in SolidWorks for the first time, which involves several parts with surfaces that slide into one another. I am wondering if there is a table or a standardization in terms of the distance that should be left between metal surfaces with sliding parts. I...
Homework Statement
In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle θ = 26°. Below the block is a spring that can be compressed 3.1 cm by a force of 380 N. The block momentarily stops when it compresses the spring by 4.0 cm. (a) How far does the...
Homework Statement
Mass m lays on the smooth triangle of mass M. what is the acceleration of M so that m will stay in place.
Homework Equations
Newton's second law: ##F=ma##
The Attempt at a Solution
$$\tan\alpha=\frac{ma}{mg}\;\rightarrow\; a=g\tan\alpha$$
Homework Statement
A smooth hoop of mass M with 2 beads of mass m each hangs from the ceiling. at t=0 the beads are released from the top and they start sliding down.
What is the mass range M/m for the ring to rise as the beads fall.
Homework Equations
Friction force: ##f=mg\mu##
The Attempt...
Homework Statement
A loaded penguin sled weighing 75 N rests on a plane inclined at angle θ = 21° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.30, and the coefficient of kinetic friction is 0.18. (a) What is the minimum magnitude of...
Homework Statement
A mass m = 16 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.09, for a distance d = 7.6 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 34° with the horizontal. The entire time the massless...
I'm studying for the Physics SAT Subject Test using The Princeton Review (2011-2012). There's this motional EMF problem about a rod sliding to the right along a u-shaped wire in a uniform magnetic field that's going into the page and the current moving counter clockwise. Problem is: I can't...
Homework Statement
If the U-shaped conductor in the figure has resistivity ρ (in Ω.m), whereas that of the moving rod is negligible, find the current I at time t. Assume the rod has length L, starts at the bottom of the U at t = 0, and moves with uniform speed v in the constant magnetic field...
Homework Statement
A 200g hamster sits on an 800 g wedge shaped block which in turn rests on a spring scale. An extra fine lubricating oil is sprayed on the top surface of the block, rendering it entirely frictionless, causing the hamster to slide down. Friction between the block and the scale...
Hi
A 90 kg box is pushed by a horizontal force F at constant speed up a ramp inclined at 28°, as shown. Determine the magnitude of the applied force.
when the ramp is frictionless.
My attempt at a solution.
I diagrammed the problem as in the file uploaded. To figure out the horizontal...
Homework Statement
A man is standing on a small wedge that is sliding down a frictionless large wedge (base on the ground - horizontal) with angle 60. I don't have a picture so I'll just say that the surface of the smaller wedge is parallel to the ground. It has a weighing machine on it and the...
I was asked to draw a free body diagram to derive the equation tan θ = µs for the following situation:
A box sliding down an inclined plane.
My FBD has 3 forces
- gravitational forces pointing downward (horizontally) <-- longest vector
- normal force perpendicular to the box
- frictional...
Hello, members
Why rolling friction is extremely small than sliding friction?
Could somebody explain this to me by an example?
Your help would be appreciated.
Thanks a lot.
Homework Statement
[This is the best image I could find]
The link on the bottom part of the rails is now removed creating two parallel wires that are not connected (so no longer U shaped but just two rails).
Now a wire of length L, mass m and resistance R slides without friction down parallel...
1. Homework Statement
A small mass m slides without friction along the looped apparatus shown in the attached file. (a) If the object is to remain on the track, even at the top of the circle(whose radius is r), from what minimum height hm must it be released(from rest)? (b) If it is released at...
Homework Statement
a boy is sliding down a curved slide, another boy with same mass is sliding down a straight slide. if both slides have the same height, which of them will reach the bottom first?
Homework EquationsThe Attempt at a Solution
i m thinking if it is related to 1/2 mv^2 = mgh
and...
Homework Statement
Homework EquationsThe Attempt at a Solution
I know that the solution involves setting the normal force to zero and equating the radial component of gravity to centripetal force. But why is it not possible for the normal force to decrease at a sufficiently low rate such...
Homework Statement
Homework Equations
Fs = μ FN
The Attempt at a Solution
Ok, so I drew a free body diagram and tilted it 90 degrees so that Fg of the small box points right and Fstatic points left.
Fg = 4.7 kg x 9.8m/s2 = 46 N
we want Fs to equal 46 N , correct? so we use the formula
Fs...
Homework Statement
A 5.1 kg penguin runs onto a huge sheet of frictionless Antarctic ice. At t=0 it is at x=0 and y=0 with an initial velocity of 0.39 m/s along the positive x-axis. It slides while being pushed by the wind with a force of 0.53 N directed along the positive y-axis. Calculate the...
Homework Statement
The 2.0 kg wood box in the figure slides down a vertical wood wall while you push on it at a 45 ∘angle.
https://session.masteringphysics.com/problemAsset/1070374/4/06.P51.jpg
Homework Equations
ΣFY = FPY - mg
The Attempt at a Solution
I know that since there is a constant...
A box is 8 ft high, 4 ft deep, and 6 ft wide and weighs 270 lb. A worker pushes on the box at a location along the width and 5 ft above the floor. The coefficient of friction between the box and the floor is .53. 1) Determine what value of the pushing force, P, will cause sliding. 2) Determine...
Homework Statement
http://www.sumoware.com/images/temp/xzdmdjtlksnfhiqc.png
A solid ball rolls perfectly with initial velocity v0 in horizontal axis ( y-axis ) on an inclined plane with elevation angle Θ as the picture above shown. This ball moves turning due to the gravitational acceleration...
Homework Statement
"You are lowing two boxes, one on top of the other, down a ramp. Both boxes move together at a constant speed. The coefficient of kinetic friction between the ramp and the lower box is 0.430, and the coefficient of static friction between the two boxes is 0.779. The lower box...
Hi All...
I have to design a chain conveyor. I am new for this conveyor design. Here i have to find friction between chain and bottom . But i have mass and velocity only .How can i calculate this .please help me
Homework Statement
Consider a mass sliding down a frictionless curve in the shape of a quarter circle of radius
2.00 m as in the diagram. Assume it starts from rest. Use Euler’s method to approximate
both the time it takes to reach the bottom of the curve and its speed at the bottom. Hint...
Homework Statement
A block of mass ##m## slides on a frictionless table. It is constrained to move inside a ring of radius ##l## which is fixed on the table. At ##t=0##, the block is moving along the inside of the ring with tangential velocity ##v_0##. The coefficient of friction between the...
Homework Statement
First of all, here is how it goes: an object with a starting velocity of 3 m/s reaches the height of 0.3m (inclined plane) and then it "stops" and slides down. What will be the velocity when it reaches the bottom of the inclined plane ?
(Sorry if the terms are wrong, English...
Homework Statement
[/B]
As a diagram any of the countless images on the internet serve well:
Suppose the static friction was not sufficient to maintain the rod in a static equilibrium and it starts slipping/sliding. It has an initial angle theta with respect to the ground. Assume there is no...
Relative equations:
F_net = ma
a = F_net/m
f = N
= _net/I
Problem Statement:
A spherical bowling ball with mass m = 6.50 kg and radius R = 0.680 m is thrown down the lane with an initial speed of v = 9.00 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ =...
Homework Statement
A ski starts from rest and slides down a 28∘ incline 65m long. If the coefficient of friction is 0.090, what is the ski's speed at the base of the incline? If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel...
Homework Statement
A block of mass m=2kg and one of mass M=8kg have initial velocity zero.
The friction coeffecient between m and M blocks is 0.3
Between block M and the surfasse there is no friction.
L=3 metres
F is a force constant and horizontal with magnitude 10 N, applied on block m and so...
Bead is at rest on a thin rod pivoted at one end. Bead is about a cm from the pivoted end of the rod. Rod now starts rotating with an uniform angular velocity w rad/sec.
1.What curve does the bead trace from the point of view of an inertial observer?
Here what i think... solution of the...
Homework Statement
A cube with m mass is released from the top of a slide, of h height, with a horizontal distance of d. [/B]
Homework Equations
Assuming there is no friction between the cube and the slide, ¿what is the minimal information i need to calculate the speed of the cube at the end...