What is Sliding: Definition and 731 Discussions

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.

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  1. S

    Conservation of Work/Momentum of Puck Sliding Off Plate

    Homework Statement I saw this problem from a few years ago here on Physics Forum (https://www.physicsforums.com/threads/work-energy-theorem-problem.823990/) and wanted some clarification. Here is the problem: A curved plate of mass M is placed on the horizontal, frictionless plane as shown...
  2. B

    Energy/Work Problem: Friction of sliding down pole

    Homework Statement A fireman of mass m slides a distance d down a pole. He starts from rest. He moves as fast at the bottom as if he had stepped off a platform a distance h≤d above the ground and descended with negligible air resistance.What average friction force did the fireman exert on the...
  3. P

    MATLAB Simulink: designing a 2nd order sliding controller

    Hi, I've had obtained a mathematical model for the slip controller issue. As you see I have the diffequation for the slip. and the input that force the system to zero error is provided as well. Now it's time to implement it in simulink or matlab. I took a look at the example provided on...
  4. B

    Friction Problem of a Crate Sliding Down a Ramp

    Homework Statement 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 38 ∘ above the horizontal. The crate has mass 239 kg . You are sitting inside the crate (with a...
  5. Feodalherren

    Frictionless mass sliding in rotating pipe

    Homework Statement A pipe is spinning around with angular velocity ω = 2 rad/s about its fixed end. Inside the pipe is a frictionless block that is free to slide. The block is located 1 m from the fixed end of the pipe when the angle from the vertical, θ = π/2 (horizontal). What is the radial...
  6. Starkrod

    Sphere sliding up a step - Inelastic Collision

    Homework Statement A sphere of radius R is rolling without slipping with a velocity v and collides inelastically with a step of height h < R. ¿What is the minimum velocity for which the sphere will be over the step? Homework Equations Total kinetic energy (maybe)...
  7. Feodalherren

    Frictionless ring sliding on circle in constant acceleration

    Homework Statement A box is sliding with constant acceleration a to the right. Inside the box there is a quarter of a circle upon which a frictionless ring can slide. Find the angle theta in terms of the other given variables. Picture in solution Homework Equations F=ma, etc. basic stuff...
  8. N

    Distance an object travels after sliding and falling from roof

    Homework Statement [/B] My physics teacher - "You may like this question, its very structured" Calculate the distance a slate tile falls from a roof The roof is angled at an angle 30 degrees. mass of slate tile is 0.8kg The length of the roof is L=6m The height of the roof above the ground is...
  9. C

    [E&M] Sliding Conductor & Magnetic Field

    Hello, Please consider this diagram: From the diagram, we can see there are two forces. One: The Lorentz Force (qvB). Using the RHR, we can see that there is a force pushing north (up) to cause the separation of charges in the sliding conductor to establish the current in the loop. Two...
  10. S

    Atwood with Sliding mass and real pulley

    Homework Statement Block 1 with mass m1=4.04 kg rests on a very low friction horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to the hanging block 2 of mass m2=2.02 kg, as shown. The pulley is a uniform disk of radius...
  11. V

    What is the work done by friction in a sliding and rolling ring?

    Homework Statement A uniform ring of mass m and radius r is projected horizontally with velocity v on a rough horizontal floor,so that it starts off with a pure sliding motion and it acquires a pure rolling motion after moving a distance d.If the coeffcient of friction between ground and ring...
  12. E

    Chain Sliding on a Pulley: Acceleration and Force Analysis

    Homework Statement On a pulley with a very small radius and negligible inertia, that rotates without friction around its fixed horizontal axis, there is a chain of mass m and length l. The chain starts sliding from its equilibrium position. Let x be the distance between the ends of the chain...
  13. Anatalbo

    Sliding blocks and a string problem

    Homework Statement 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...
  14. Nacho Verdugo

    Mass sliding on frictionless inclined plane compresses a spring

    Homework Statement A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...
  15. A

    Weight after sliding off a ramp

    Homework Statement A ball with mass of m starts sliding off a ramp with height h = 3R and when it slides off the ball does a "loop" once. ( Just see the picture , it's hard to explain :biggrin:). I have to find the weight of the ball at the bottom and at the top of the circle. h = 3R Homework...
  16. Shardul Khare

    Sliding on an object on an inclined plane

    How does the object slide down the surface (With friction negligible)
  17. R

    Calculating Distance Traveled by Cart with Sliding Block

    Homework Statement A block of mass m =0.75 kg is set on a large cart of mass M = 6.5 kg. The cart's rollers are frictionless, but there is a coefficient of kinetic friction of 0.36 between the cart's surface and the block. The cart is at rest when the block is given an initial speed of 5.2...
  18. E

    The Acceleration of a Sliding Collar on a Shaft

    Homework Statement For the mechanism shown, determine the speed and magnitude of the acceleration of collar C in terms of b, θ, θ-dot, and θ-dot-dot. Check the attached file for the diagram. We are given the length b and angle θ. Homework Equations ΣF=ma The Attempt at a Solution I...
  19. A

    Maximum force so object on top wouldn't start sliding back

    Homework Statement Box B is on top of box A. Box A has a mass of 1 kg, B has 0.3 kg. Coefficient of friction between ground and box A is 0.5, between box A and B : 0.75. With what maximum force can I pull box A without box B sliding back ? m1 = 1 kg m2 = 0.3 kg u1 = 0.5 u2 = 0.75 Homework...
  20. D

    Solve Acceleration of Rod's Centre of Mass

    1. Homework Statement : A rod of length l is vertically standing on a friction less surface. It is slightly disturbed from this position. Let w(omega) and alpha be the angular speed and angular acceleration of the rod, when it turns through an angle theta, then find the value of acceleration...
  21. 1

    Lagrangian of 2 rotating masses on a spring, sliding down plane

    Homework Statement 2 masses are connected by a spring. They are on a frictionless plane inclined relative to the horizontal by ##\alpha##. The masses are free to slide, rotate about their center of mass, and oscillate. 1. Find the Lagrangian as a sum of the Lagrangian for the COM motion and a...
  22. C

    Ice cube sliding off metal roof

    Homework Statement Homework Equations $$mgh = \frac{1}{2}v^2$$ The Attempt at a Solution [/B] I'm working on a). I tried using conservation of energy to get v. $$mg(c+b) = \frac{1}{2}v^2$$ $$v = \sqrt{2g(c+b)}$$ After this I'm stuck. In order to get distance from knowing the velocity...
  23. A

    Related rates of a ladder sliding

    Homework Statement A 5 m ladder is sliding down the wall, and h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom at time t. Given that h(0) = 4 at t = 0 seconds and dh/dt = 1.2m/s, and the ladder is 5m long find x(2) and dx/dt at t=2...
  24. D

    Ladder sliding down with no friction

    Homework Statement A uniform ladder leans against a smooth vertical wall. If the floor is also smooth, and the initial angle between the floor and the ladder is theta(0), show that the ladder, in sliding down, will lose contact with the wall when the angle between the floor and the ladder is...
  25. I

    Object sliding on inclined plane whose angle increases

    Homework Statement I have a question that came up during a mechanics problem. (I put my question towards the end of the post) A particle slides on a smooth inclined plane whose inclination ##\theta## is increasing at a constant rate ##\omega##. If ##\theta(t=0)=0## at which time the particle...
  26. H

    Sliding without friction pedagogy

    I raced a toy car on a wooden plane alongside an ice cube on a block of ice in my kitchen today. the ice cube combo won every time even allowing for my crude starting gate. most texts I have seen introduce dynamics of inclined planes with a bead on a wire or more common a block on a...
  27. S

    Calculating reaction force for sliding plank

    Homework Statement A plank of length 2L leans against a wall. It starts to slip downward without friction. Show that the top of the plank loses contact with the wall when it is at two-thirds of its initial height. (from Kleppner&Kolenkow,An Introduction to Mechanics 1st ed., problem 6.41)...
  28. K

    Finding M1 in a Mass Sliding Problem with an Angle and Friction

    Homework Statement M1 and M2 are two masses connected as shown. https://loncapa2.physics.sc.edu/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob75_fricpullplane.gif The pulley is light and frictionless. Find the mass M1, given that M2 (3.50 kg) is moving downwards and...
  29. FallenApple

    Rolling with slipping sliding friction....

    I'm a bit confused. We all know that rolling with slipping is associated with kinetic friction. But Is that friction due to the traslational motion of the center of mass or just the spinning motion?If friction exists because of the translational motion, then in theory, I can slowly lower a...
  30. K

    Masses sliding on a smooth wedge

    Homework Statement [/B]Mass m lies on a Weighing scale which is on Wagon M. the inclined surface is smooth, between m and M there is enough friction to prevent m from moving. 1) What does the weigh show? 2) What is the minimum coefficient of friction between m and M to prevent slipping? 3)...
  31. S

    Velocity of Bead Relative to Wedge on a Smooth Hemispherical Surface

    Homework Statement A bead of mass m kept at the top of a smooth hemispherical wedge of mass M and radius R is gently pushed towards right.As a result,the wedge slides due left.Find the magnitude of velocity of bead relative to the wedge. Homework Equations $$MV=m(v\cos(\theta)-V)$$ and...
  32. H

    I Normal contact force for a sliding slope

    For the following question, how do we know that the acceleration of ##M## is constant over time? And is the normal contact force between the two masses smaller as compared to that where ##M## is fixed? The acceleration depends on the net force on ##M##, which depends on the normal contact...
  33. C

    Motion of rotating and sliding metal bar for robot combat

    For those who don't know there exists a sport called robot combat. Two robots enter an area and fight until one is unable to move anymore or its owner taps out. I have a novel idea for a weapon for a robot but I am unsure if the maths works out so that it will be practical. Suppose I take a...
  34. K

    Cart with 2 springs and a sliding mass

    Homework Statement [/B] A cart of mass m is adjacent to a wall. it has a mass, also m, attached at point A to a loose spring of constant k. an identical spring is on the opposite wall. the floor of the cart is frictionless apart of the middle part CD with equivalent μ. a force F is applied to...
  35. JulienB

    Mass point sliding on a rotating line (Lagrangian)

    Homework Statement Hi everybody! I have a crazy problem about Lagrangian on which I've been working on for two days without being able to figure it out. I have a solution, but I think there is a flaw in it. First here is the problem: A line rotates with constant angle velocity ##\omega##...
  36. A

    Challenge problem -- rock sliding up and over a roof into an arc....

    Homework Statement One side of the roof of a house slopes up at 37.0°. A roofer kicks a round, flat rock that has been thrown onto the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15.0 m/s. The coefficient of kinetic friction between the rock...
  37. S

    Need an explanation of sliding window for networking

    So I have a school project that requires me to use a sliding window in order to transmit a file to a server, but I'm having trouble understanding how sliding window works. I don't really understand how rejects are done and how the program knows to send a new packet and then move onto the next...
  38. X

    Ring magnet sliding on iron core solenoid actuator

    Hi everyone, I have lots of (potentially dumb) questions about this "project" I'm working on. It's a voice coil actuator, but with things a bit reversed. Here's how a regular voice-coil actuator is constructed: The rod that is inside the coil is a magnet and the outer cylinder continues the...
  39. A

    Bead sliding on a wire - calculus of variations

    I am asked to find the shape of a wire that will maximize the speed a sliding bead when it reaches the end point(Similar to the brachistochrone problem expect that the speed is to be maximized and not time minimized). But shouldn't the speed at the end be independent of the shape of the wire...
  40. K

    Mass falling and pulling a cylinder without sliding

    Homework Statement A cylinder of mass M and radius r is at distance l0 from the edge. mass m is hanging from a rope. no friction at the weightless pulley. the cylinder starts rotating without sliding. What's the acceleration of the COM of the cylinder. What's the velocity of the COM of the...
  41. F

    [Rotational dynamics] cube sliding on a dish

    1. Homework Statement A small cube is sliding on a round dish (see attached figure) . The cube is always in contact with the (vertical) edge of the dish (which prevents the cube from falling outside the dish itself). There is friction between the cube and the dish. The dish can rotate around...
  42. K

    Ball rolls without sliding in a concave bowl

    Homework Statement Ball of mass m and radius r rolls without sliding in a bowl of radius R. Express it's angular velocity ω as a function of the angle θ. What are the normal force and friction force as a function of θ. Homework Equations Moment of inertia of a solid ball round it's center...
  43. D

    Firefighter sliding down pole onto spring

    Homework Statement A 80.5 kg firefighter slides down a pole while a constant frictional force of 300 N retards her motion. A horizontal 20.0 kg platform is supported by a spring at the bottom of the pole to cushion the fall. The firefighter starts from rest 3.25 m above the platform, and the...
  44. P

    Newton's laws -- Block sliding on a Prism

    Homework Statement All the surfaces shown in fig. are assumed to be frictionless. The block of mass m slides on the prism of mass M which in turn slides backwards on horizontal surface with acceleration of ao. Find the acceleration of smaller block with respect to prism. Homework...
  45. kellyxx

    Momentum question -- A boy drops a box while sliding on ice....

    Homework Statement A boy is holding a box and moving at a constant velocity of 2m/s on ice. The masses of the boy and the box are 40kg and 2kg respectively.Then the boy drops the box. What is the momentum of the boy just after dropping the box? Assume that the friction between the boy and the...
  46. Silverado

    Power Dissipated in a Sliding Resistor

    Homework Statement The circuit [http://tinypic.com/r/2cwl7bt/9] shows a battery connected across a uniform resistor R0. A sliding contact can move across the resistor from x = 0 at the left to x = 10 cm at the right. Find an expression for the power dissipated in the resistor R as a function...
  47. J

    Normal force of a mass sliding down a quarter circle

    Homework Statement A 22-gram mass is released from rest at position A on a stationary frictionless surface whose shape is that of a quarter circle of radius R = 0.66 m. (b) Determine the magnitude of the normal force that acts on the mass when it is at position B (it is at position B when the...
  48. C

    Calculating Time Needed for Box to Stop Sliding Down Slope

    Box is sliding down the slope with angle 30 , and v_0=0. Because coefficient of friction is $$\mu=0.1x$$ where x is distance covered, the box will stop before reaching the end of a slope. Find the time needed for a box to stop. I get $$F_1=G \sin \alpha , F_{fr} = \mu \cdot G \cos \alpha$$...
  49. Jojo96

    Determine is box of unknown mass is sliding down a ramp?

    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...
  50. B

    Question for sliding object

    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...
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