Elastic Definition and 1000 Threads

  1. O

    Constrained mass point subject to elastic force and weight

    Hi all, is my solution correct? I was rejected because of this... Homework Statement Consider a mass point (mass = m) constrained to move on the surface of a sphere (radius = r). The point is subject to its own weight's force and to the elastic force of a spring (elastic constant = k, rest...
  2. M

    Elastic collision/ momentum question w/ conservation of energy

    Homework Statement In deep space a 7.0 kg rubber ball moving along the x-axis with a speed of 20 m/s collides ELASTICALLY with another ball of mass = 25 kg. After the collision the 7.0kg rubber ball's velocity is directed in the positive y axis. Find the final speed of the 7 kg ball, as well...
  3. M

    Elastic Collision & Angular Monentum Transfer

    I have a 3DOF gryo with massless bearings and gimbals that is enclosed in case or cylinder. The cylinder will limit the range of motion of the gyro. Please see the pictures. I am trying calculate rotor velocities in pitch and yaw after a collision with the cylinder wall. The...
  4. M

    Inelastic and elastic scattering and absorption.

    I have to write some training on the following and I really have no idea. Is this correct? Any help is greatly appreciated;) Inelastic scattering In inelastic scattering, a neutron collides with and is temporarily absorbed by the nucleus of the target particle. This excites the nucleus...
  5. orlan2r

    Infinitely stretchable elastic band

    Imagine an infinitely stretchable elastic band where one end is attached to a vertical wall and the other on a horse, as shown in figure. On the elastic band, very close to the wall, there is a snail. If we assume that the initial length of the band is L, and the horse and snail start moving...
  6. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    Hi all, I'm trying to do something that might be impossible, but seems to me should have a solution: Finding the height (or displacement) of a long, thin rod or wire under horizontal compression forces at the ends (pinned, not clamped) causing it to bend into a stable arch-like shape given...
  7. KiNGGeexD

    How Much Tensile Load Can a Bolt Withstand?

    Question; The shank of the bold has a diameter of 1.2cm and a head height of 0.8cm. What is the maximum tensile load that the bolt can withstand if it's ultimate shear strength is 3.5*10^8 N/m^2I have attached a photo of the diagram given in the question.My attempt I noticed that this is a...
  8. noffya

    Super elastic collision between two objects

    Hello, I have difficulties with this problem: The body mass m1 = 20 g is fired with a spring, k = 72 N / m from position A. On arrival at point B hits completely elastic body mass m2 = 15 g. Find the distance x of compressed spring so that the mass m2 reaches point C separated a distance d...
  9. P

    Analyzing 2D Elastic Collisions with Varying Masses and Velocities

    Homework Statement A 1.0-kg particle is moving in the +x direction at 4.0m/s when it collides elastically with a 4.0-kg particle moving in the −x direction at 1.0m/s After colliding the 1-kg particle moves off at 130 counterclockwise from the positive x-axis. Find the final speeds of both...
  10. M

    Elastic collision with moderators

    From University Physics, Homework Statement Canadian nuclear reactors use heavy water moderators in which elastic collisions occur between the neutrons and deuterons* of mass 2.0 u (see Example 8.11 in Section 8.4). (a) What is the speed of a neutron, expressed as a...
  11. X

    Elastic and Inelastic Collisions

    Homework Statement http://i.imgur.com/c5pOIe8.png & http://i.imgur.com/zdxfXLE.png Sitting in a parking lot you witness a minor, but still noteworthy collision between two cars. You wondered, "Is momentum really conserved in collisions?" It didn't seem like it was in the real world so...
  12. R

    Zero Momentum in Elastic Collisions

    Is it possible to have a zero vector? The question arises in the context of conservation of momentum. In center of mass reference frame, the momentum of two masses involved in an elastic collision is zero before (as well as after) collision. It is because the two masses have equal and oppposite...
  13. T

    How to Calculate Elastic Positive Bending Moment for Irregular Cross Sections?

    Hello I just joined this forum and this is my first thread here. This is my assignment question. I'm supposed to find elastic positive bending capacities around the horizontal axes for the following cross section shown in pic. The elastic stress in tension is 10 ksi and in compression is 15...
  14. M

    Calculating Elastic Curve for a given Section

    Homework Statement Homework Equations The Attempt at a Solution Hello, Comparing these two problems, 9.6 says to calculate the elastic curve for portion BC. However, in the solution they include the contribution from P which is not contained in portion BC in the representative cut to calculate...
  15. F

    Elastic Neutron Collision (Conservation of Momentum and Energy?)

    1. A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four times that of the neutron. The helium nucleus is observed to rebound at an angle '2 = 41° from the neutron's initial direction. The neutron's initial speed is 5.6 105 m/s. Determine the angle at...
  16. N

    Elastic vs. Completely Elastic?

    Homework Statement A 2.4kg ball falling vertically hits the floor with a speed of 2.5m/s and rebounds with a speed of 1.5m/s. The impact or "collision" described in this problem is: a. completely elastic b. completely inelastic c. elastic d. inelastic 2. The attempt at a solution...
  17. C

    Why Must Constants in Elastic String Equations Be Equal?

    Homework Statement Consider a constant volume elastic string. A change in internal energy of the string is given by dU = TdS + fdL. The elastic string obeys the following two equations; $$\left(\frac{\partial f}{\partial L}\right)_L = \gamma_1 T\,\,\,\,\,\,\,\,\,\,\,\left(\frac{\partial...
  18. H

    We can't have elastic scattering even theoretically

    Consider a photon which is scattered by a crystal elastically. In an elastic scattering we have |k_i|=|k_f| and k_f - k_i = G where G is a reciprocal vector. But according to momentum conservation, the crystal must obtain a momentum \hbar G and hence the kinetic energy, so according...
  19. A

    Elastic Collision: Calculate the Percent Change in KE

    Homework Statement A 0.26 kg cue ball with a velocity 1.2 m/s collides elastically with a 0.15 kg billiard ball at rest. What percentage of the initial kinetic energy is transferred to the billiard? m1= 0.26kg Vi1= 1.2 m/s Vf1= ? m2= 0.15kg Vi2= 0 m/s Vf2= ? Homework Equations...
  20. B

    Solving Elastic Collisions - Momentum & Final Velocity

    Please clear up this problem... Mass 1 = 8 kg, and v = 3 m/s to the right. Mass 2 = 4 kg, and v = -3 m/s to the left. Both objects are on the same x-plane. Totally elastic collision. Momentum of mass 1 is 24, and momentum of mass 2 is -12. How do I determine final momentum for each...
  21. K

    Solving Elastic Collisions: 25g & 10g Objects

    Homework Statement A 25g object moving to the right at 20cm/s overtakes and collides elastically with a 10g object moving in the same direction at 15 cm/s. Find the velocity of each object after the collision Homework Equations Ʃp=Ʃp' v1+v1'=v2+v2' The Attempt at a Solution First...
  22. A

    Finding the Elastic Constant of a Spring: 0.08N Stretches 2cm

    A force of 0.08N stretches an elastic spring by 2cm. Find the elastic constant of the spring.
  23. J

    Elastic Potential: U and F Explained for James

    Collegues, please just remind me if I have elastic potential U=( K(x-X0)^2 )/2 for the flexible spring moved on X distance from the initial X0 position So I have I have elastic force F=K(x0+vt-x) which is the derivative of the U. Its not clear for me why vt term which should be equal to...
  24. P

    How Does a Grapefruit Affect Spring Compression?

    question: a grapefruit of mass 289g is attached to an unstretched vertical spring of force constant 18.7 N/m, and is allowed to fall. a) determine the net force and the acceleration on the grapefruit when it is 10.0 cm below the unstretched position and moving downward. b)air resistance...
  25. A

    Elastic collision and inelastic collision

    Hi everyone, I am stuck with this problems. Homework Statement A block (m1 = 2.5 kg) sits at rest on a horizontal frictionless surface, connected to an unstretched spring (k = 190 N/m) whose other end is fixed to a wall. Another block (m2 = 1.0 kg) whose speed is 4.0 m/s collides head-on...
  26. H

    Elastic Potential- Acceleration with springs

    Homework Statement A 1.6kg mass is suspended from a spring inside a stationary elevator. The spring stretches 12cm. The elevator now accelerates upwards, and the spring extends a further 12cm. What is the elevator's acceleration? Homework Equations Fy= may Ue= 1/2 (kx2) The Attempt...
  27. J

    Hamiltonian for elastic collision

    What would the Hamiltonian for a system of two classical point particles, with no interaction except for an elastic collision between them at a point look like? My gut says it's the usual T + V, with T = p12/2m1 + p22/2m2 and V = Kδ(r1-r2) With K approaching infinity -- each particle...
  28. B

    How to Solve an Elastic Collision of 3 Balls with Frictionless Motion?

    Homework Statement A ball with an initial speed of v1 = 21.5 m/s collides elastically with two identical balls whose centers are on a line perpendicular to the initial velocity and that are initially in contact with each other. The first ball is aimed directly at the contact point and all...
  29. icesalmon

    Velocity in Elastic Collision involving Center of Mass

    Homework Statement part #1: A wooden block with m1 = 2.9kg is sliding across a frictionless surface in the −x direction at 4.5 m/s. A smaller wooden block with m2 = 1.1 kg block is traveling in the +x direction at 2.9 m/s. part #2: Now they make a head-on elastic collision. (This means that in...
  30. D

    Elastic Collision: Explaining the Energy Transfer in a Turtle-Lion Collision

    What would you respond on this question? Would you correct me if necessary on my response please? Thanks 1. A turtle and a Lion have a violent collision on a frictionless horizontal field. As you witness the collision you realize that you are in the center of mas system. After the collision...
  31. Z

    1D Elastic Collision - Velocities in the CM/ZM Frame

    Homework Statement Prove that, for any 1D elastic collision between two particles: as viewed from the centre of mass (or zero momentum) frame of reference, the velocity of each particle after the collision has the same magnitude but opposite sign to its velocity before the collision. 2. The...
  32. D

    How Far Does a Box Slide Down an Inclined Plane to Compress a Spring?

    Homework Statement (My textbooks are in french, so I'm translating, might get some terms wrong.. ) Starting from rest, a box of 31kg slides down a ramp inclined at an angle of 31 degrees, relative to the horizontal. At the bottom, the box hits a spring with a constant of 9.8 * 10^2N/m...
  33. W

    Why Does Toilet Water Splash Back Up?

    Now although this is silly and quite crude (You have been warned), it is a legitimate physics question. I was sitting on the toilet a few days ago and I got some splash back. I started thinking about elastic collisions and how no matter what, nothing is perfectly elastic (correct?). Why would...
  34. O

    Two particles in an elastic collision given angle of first find other.

    Homework Statement Particle A has mass m and initial velocity v0. A collides with particle B, which has mass M and is initially at rest. After the collision, the particles follow the paths shown in the figure. Calculate φ in degrees, for an ideal elastic collision. Data: m = 0.7 kg; M =...
  35. A

    Calculating Tension Force After Elastic Collision

    A ball (mass m1 = 2 kg, velocity v = 5 m/s [the ball moves horizontally]) collides with another ball (mass m2 = 8 kg) which is hanging on a string (length l = 1.35 m). The collision is completely elastic. What is the tension force affecting the ball (m2) immediately after the collision? I...
  36. A

    Do Elastic Waves Carry Momentum in Solids?

    Homework Statement Its not really a problem - more like a question my teacher asked us. Homework Equations My problem is that in my opinion the wave concept is quite vague. Are we talking about a single narrow pulse propagating through the medium or collective vibrations of all the...
  37. E

    Is Spacetime Infinitely Elastic or Does it Have an Elastic Limit?

    I understand that massive spinning objects drag spacetime along with their rotation, and that the inner region is dragged more strongly than the distant regions. It would seem that spacetime gets stretched. Does spacetime have an elastic limit, such that it could "break" at some point...
  38. C

    How is Elastic Energy of a Bent Steel Rod Approximated?

    Homework Statement [Math. for Physicists, M. Stone Problem 1.4] Assume that a rod of length L is only slightly bent into the yz plane and lies close to the z axis, show that the elastic energy can be approximated as U[y]= \int_{0}^{L} \frac{1}{2}YI(y'')^2 dz Homework Equations It is...
  39. M

    Solving for masses in an elastic collision

    This isn't an actual homework problem, but it feels like it could be. Homework Statement Two masses, m1 and m2 are involved in an elastic collision. The initial velocities v1_0 and v2_0 are 1 and -2, respectively. The final velocities v1_1 and v2_1 are -3 and 0, respectively. Solve for...
  40. A

    Classification of Elastic and Inelastic scattering

    Hi, I am slightly confused regarding the termenology elastic and inelastic. My focus is on the interactions, Rayleigh, photoelectric, comptonscattering and pair production. I have read around the internet and have some question I did not fully got answered. 1) Is Elastic = Coherent and...
  41. P

    Reduction of area with the elastic deformation?

    In the tensile test practical for ductile materials, up to the elastic limit, the deformation is recoverable (no line defects). My question is can there be a reduction of area with the elastic deformation? If yes, how it happens? I'm a beginner. Thank you!
  42. M

    Cross-section for elastic scattering?

    Hi All, Following on from the last dumb question I asked... Suppose you calculate the tree-level approximation to the elastic scattering of two charged fermions to find that the result varies as ##\sim 1/t##, where t is the Mandelstam variable describing the squared momentum transfer in...
  43. T

    Elastic collision between rod and ball

    Homework Statement A rod of mass M is lying on a flat frictionless surface. A small ball of mass m and velocity v collides with the rod in the center at the rod at right angle to the rod. The collision is elastic. Homework Equations a) Where is the axis of rotation for the rod...
  44. M

    Finding Mass and Velocity in an Elastic Collision at an Angle

    Homework Statement Ball A with mass 4 kg is moving with a velocity of 8 m/s North when it crashes into Ball B with unknown mass moving with a velocity of 6 m/s West. This collision is perfectly elastic. If Ball A ends up moving with a velocity of 6.5 m/s @ 120° after the collision, find the...
  45. M

    Using elastic equations to calculate height

    Homework Statement 2. A 0.30 kg bullet is fired from a gun with a velocity of 410 m/s. The bullet then becomes embedded into a piece of wood with mass 5.5 kg hanging as a pendulum at rest. To what height will the piece of wood swing? m1=.3kg v1=410m/s m2=5.5kg v2=0 Homework Equations...
  46. P

    Elastic collision between two billiard balls

    Homework Statement Two balls collide on a frictionless surface. Mass m1 = .4 kg and Mass m2 = .3 kg . The initial velocity of m1 is 3 m/s. While m2 is at rest. After the collision the velocity of m1 is 1.5 m/s, θ1 above the horizontal. While m2 gains an unknown velocity of v2f, θ2 below the...
  47. D

    MHB Where can I find info on the partial derivative of elastic energy wrt position?

    I've been studying a version of the finite element method. The author of a paper I was reading refers to the partial derivative of total elastic energy wrt position, partial derivative of surfacic energy wrt position, and partial derivative of strain wrt position. Does anyone know of a good...
  48. P

    Motion of particle dropped onto an elastic band

    Hi All, This is part solution, part request for peer review. I wasn't able to find a model for the motion of a particle dropped onto an elastic band so I've created my own in Excel (attached). Note that the model is primarily focussed on the motion of the particle, and not the elastic...
  49. K

    What Are the Steps to Conduct Elastic and Inelastic Collisions Using Photogates?

    These are the instructions: What to do: 1. Connect the two photogates to DIG 1 and DIG 2 ports of the LabQuest device. Connect this device to a computer and turn on the device. 2. Open Logger Pro 3.8.4 software. Click Folder icon/symbol. Open Probes & Sensors > Photogates > Two Gate Timing. 3...
  50. H

    Deflection of an elastic curve

    Hi: In mechanics of materials. I learned that the deflection of a beam can be characterized by its elastic curve which is the deformed neutral axis. But I am bothered by the fact that, if two end of a beam is fixed, and the elastic curve is continuous in between, then it must mean...
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