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
You hang a plumb bob inside an empty box. The empty box slides down a friction-less inclined plane. The inclined plane makes an angle of 30 degrees with the horizontal. What is the angle the plumb bob makes with the vertical during the slide?
Homework Equations
g pulled down...
Homework Statement
A block with mass m rests on a smooth, frictionless ramp with mass M and height h. The ramp itself sits on a frictionless horizontal surface in which it is free to slide. The block slides smoothly down the ramp from rest. We want to find the speed of the block after it has...
Homework Statement
The record speed for grass skiing was set in 1985 by Klaus Spinka, of
Austria. Suppose it took Spinka 6.60 s to reach his top speed after he
started from rest down a slope with a 34.0° incline. If the coefficient of
kinetic friction between the skis and the grass was 0.198...
Homework Statement
Find out the degrees of freedom of a block of wood sliding on a horizontal plane.
Homework Equations
DoF=Nn-k
N=no. of dimensions. n=no. of particles.k= no. of constraints.
The Attempt at a Solution
I am considering the block of wood as a rigid body made of n no. of...
Homework Statement
first of all- yes,i looked into similar topics,did not succeed :(
My problem : The objects slides down on a plane which located 45degrees with respect to surface. It slides s=0.36m down, it reaches v=2m/s. I have to calculate the coefficient of friction.
Homework...
Homework Statement
A child lying on her back experiences 55 N tension in the muscles on both sides of her neck when she raises her head to look past her toes. Later, sliding feet first down a water slide at terminal speed 5.7 m/s and riding high on the outside wall of a horizontal curve of...
Homework Statement
A limp rope with a mass of 2.4 kg and a length of 1.5 m is hung, initially at rest, on a frictionless peg that has a negligible radius, as shown in the Figure. y1 is equal to 0.48 m. What is the vertical velocity of the rope just as the end slides off the peg?
Homework...
I am attempting to build a linear induction flashlight. I was wondering if the concept below could be used to make the magnet slide down a pole inside a coil with no friction. The interior of a tube magnet with an S polarity would slide down the S end of a rod magnet, that way the inside of the...
Homework Statement
A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4085 N/m after being compressed a distance x_1 = 0.546 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d =...
The full problem is: "A 2.0kg box slides down at constant velocity between two identical walls. What is the frictional force exerted on the box by one of the walls?"
The answer I got was zero because I equated Normal force (of the wall on the box) at zero.
Am I wrong? ): Does the weight of the...
Homework Statement
Kleppner and Kolenkow "An Introduction to Mechanics (2nd ed.)" prob. 3.2:
Mass MA = 4 kg rests on top of mass MB = 5 kg that rests on a frictionless table. The coefficient of friction between the two blocks is such that the blocks just start to slip when the horizontal...
Homework Statement
The problem:
Two blocks made of different materials connected together by a thin cord, slide down a plane ramp inclined at an angle θ to the horizontal as shown in the figure (block B is above block A). The masses of the blocks are mA and mB and the coefficients of...
To prevent grain boundary sliding so that creep is less likely to occur, usually engineers would design components of larger grains or have columnar grain structure to prevent grain-boundary sliding. Why this two method can prevent grain-boundary sliding? For columnar grains, would they be more...
Homework Statement
A block of mass m slides down a hemisphere of mass M. What are the accelerations of each mass? Assume friction is negligible.
(See attatchment)
Homework Equations
a_M = Acceleration of hemisphere
N_m = Normal force of M onto m
N_M = Normal force of ground onto M...
The following is my take on friction. I wish to verify if my hypothesis is correct.
When trying to visualize sliding friction i have the following notion. I am swayed to consider friction as a force that arises primarily due the the interaction between the molecules(or atoms) of the surfaces...
Homework Statement
An 80 kg object is on top of a 40°ramp and held by a box that is filled with sand bags. Each sand bag has a mass of 12 kg, the static friction coefficient between the box and the ramp is .507. What is the least amount of sand bags needed to prevent the object from sliding...
Homework Statement
A ball is released along a horizontal surface with a co-efficient of friction Us at a speed V. Find the time it takes for the ball to start rolling (leave the moment of inertia as I).
Homework Equations
Quite a few, all of them are stated in my working (that I...
Homework Statement
A block takes 3 times as long to slide down an inclined plane that makes an angle of 30 degrees as it does to fall freely through the same vertical distance. Determine the coefficient of friction.
Homework Equations
F=μN
The Attempt at a Solution
I do not know...
Homework Statement
"A boy is initially seated on the top of a hemispherical ice mound of radius R = 13.8 m. He begins to slide down the ice, with a negligible initial speed. Approximate the ice as being frictionless. At what height does the boy lose contact with the ice?"
2. The attempt at...
Homework Statement
Block 1 and Block 2 have the same mass 'm', and are released from the top of two inclined planes of the same height making 30 degree and 60 degree angles with the horizontal direction, respectively. If the coefficient of friction is the same in both cases, which of the...
Homework Statement
block is placed on a ramp at an angle of 39.4 and height of the ramp is 1.610m and the mass of the block is 8.54kg
if coefficient of kinetic friction is 0.111 and the coefficient of static friction is 0.173 what is the speed of the block at the bottom of the ramp. if it...
Homework Statement
A ladder of length 2l and mass m leans against a smooth wall and rests on a smooth floor. The ladder initially makes an angle θ0 to the vertical. It slides downwards maintaining contact with both the wall and the floor. Calcula the the Lagrangian and the conjugate momentum...
Homework Statement
The first block with mass m_1 slides without friction on a wedge which has an incline of angle \alpha. The wedged shaped block has a mass m_2 . The second block is also allowed to slide on a flat frictionless line. Find Lagrange's equations of motion.
Homework...
Homework Statement
A block with mass m = 5.00kg slides down a surface inclined 36.9 ∘ to the horizontal (the figure (Figure 1) ). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 23.0kg and...
A rigid T consists of a long rod glued perpendicular to another rod of length l that is pivoted about the
origin. The T rotates around in a horizontal plane with constant frequency ω. A mass m is free to slide along the long
rod and is connected to the intersection of the rods by a spring...
Homework Statement
"A metal bar which runs on 2 long parallel rails are connected to a charged capacitor with capacitance C and a resistor with resistance R. Assume no friction and perfect conductors. The rails are cylindrical of radius R separated by distance d. The bar is a distance x...
A 1.0 kg block is held in place against a spring with spring constant k = 100 N/m (see the figure, below) by a horizontal external force. The spring is compressed 20 cm. The external force is removed, and the block is projected with some (horizontal) velocity upon separation from the spring. The...
Homework Statement
A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at t = 0. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at t=0 along the horizontal string AB, with the speed v...
Energy Question -- Chain sliding off frictionless table
Homework Statement
Here is the problem that's confusing me: A frictionless chain of length 2.00m is held with 20.0% of its length hanging over the edge of a table. The chain is then released. Determine its speed the moment the entire...
Homework Statement
This is problem 2.11 from Kleppner and Kolenkow, 2nd edition. I have completed the problem but I'm not 100% sure I did it right and would like to check my understanding.
A ##45## degree wedge is pushed along a table with constant acceleration ##A##. A block of mass ##m##...
Homework Statement
A box rest on an incline making a 34 angle with the horizontal. It is found that a parallel force to the incline of at least 235 N can prevent the box from sliding down the incline. If the weight of the box is 800 N, find the coefficient of static friction between the...
A flexible rope of mass m and length L = L1 + L2 hangs over a frictionless peg. What is the speed of the rope when it just slides off the peg? (it is reasonable to assume that the rope is uniform and that the masses of each section 1 and 2 are concentrated at the midpoint)
In the picture L1...
Restricted Block on Spring
A block of mass m = 2 kg slides back and forth on a frictionless horizontal track. It is attached to a spring with a relaxed length of L = 4 m and a spring constant k = 8 N/m. The spring is initially vertical, which is its the relaxed postion but then the block is...
1. A 30kg box is placed on a 15° slope and a person pushes on the box up the slope to keep it from sliding. If the coefficient of static friction is 0.15, what is the minimum force that the person must exert to keep the box in place?
Answer Choices:
A. 273N
B. 241N
C. 33.5 N
D. 64.7 N
E. 294 N...
Homework Statement
A 5.0 kg box slides up a 10 m long frictionless incline at an angle of 20 degrees with the horizontal, pushed by a 40 N force parallel to the incline. What is the change in kinetic energy?
Homework Equations
Ek = 1/2 mv2
Ep = mghThe Attempt at a Solution
I tried to assume...
Homework Statement
A 5.0kg block slides down a ramp, starting with a velocity down the slope of 2.5 m/s. The ramp is 1.5 m high and has an angle of 25 degrees. The force of friction acting upon the block is 20.0 N.
How much energy is transferred in or out by gravity, normal force, and...
"A 4.00-kg crate slides down a ramp. The ramp is 1.80 m in length and inclined at an angle of 28.0° as shown in the figure. The crate starts from rest at the top, experiences a constant friction force of magnitude 4.50 N, and continues to move a short distance on the horizontal floor after it...
Homework Statement
An object slides down a 30° angled slope with even velocity.
The object is hit with a force such that its initial velocity is now 2,5m/s up the slope. How far does the object go before coming to a stop (I answered this, though) and how much of the kinetic energy becomes...
Homework Statement
An object slides down a slope of 30° to the horizontal with CONSTANT VELOCITY.
Find the force of friction and the energy lost on the way down.
Homework Equations
\mu m g \cos \theta
\mu m g \cos \theta - m g \sin \theta = 0
W = K_2 + U_2 - (K_1 + U_1)
The Attempt...
I didn't want to derail the last thread on the sliding block, but I think I noticed something interesting.
If we look at http://arxiv.org/abs/0708.2490v1
consider first the image in figure 3
and compare it to the image
in figure 11.
Ignore the wheels, which complicate...
Homework Statement
I am absolutely stumped on a problem from a trig based college physics text by Serway et. al. 8th edition. This is exercise 4.14 on page 107. The example attached to it is a 10.0 kg block M, on top of which rests a 5.0 kg block m. The coefficient of friction between the...
Homework Statement
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.
when the coefficient of kinetic friction is 0.18.
Homework Equations
Ff= uk(Fn)
The...
Homework Statement
A particle slides on a curved surface. It is restricted to move on a vertcial plane. The intersection of the plane with the surface is described in cartesian coordinates as y + a[cosh(x/a)+1] = 1. At which point will the particle stop having contact with the surface...
Homework Statement
Rod AB is placed against a block which is moving towards right with a speed of 1m/s. If at an instant when the rod makes an angle ##60^{\circ}## with the horizontal and end A is sliding towards left with a speed of 1m/s. Then the speed of the point of contact B of the rod is...
The laws of motion -- rock sliding on a roof
Homework Statement
One side if 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 15ms-1.The...
Homework Statement
P45) In the arrangement shown in figure, the sleeve M of mass m is fixed between two identical springs whose combined stiffness is equal to k. The sleeve can slide without friction over a horizontal bar AB. The arrangement rotates with a constant angular velocity w about a...
We have a frictionless hemisphere M,of a radius R and a body m on the top of it.We give to the hemisphere a horizontal constant acceleration W and consequently the body begins to slide down the accelerating hemisphere.What is the relative velocity of the body in respect to the hemisphere when...
What causes an object to tip over instead of slide when a sufficient force is applied to an object? If you apply a force of 7N to an object that requires a force of 6N to tip it over and a force of 3N for it to slide it will always tip over. As long as the force applied is more than the force...
Homework Statement
A ladder of length L = 3 m is leaning against the wall and the angle between ground and and ladder is α=60°. The bottom of the ladder slides at speed Vb = 0.2 m/s. Find the velocity of top of the ladder in respect to
1) wall;
2) bottom of the ladder.
Homework...
Homework Statement
A small lump of ice is sliding down a large, smooth sphere with a radius R. The lump is initially at rest. To get it started, it starts from a position slightly right to the sphere's top, but you can count it to start from the top. The lump is fallowing the sphere for a...