Rigid body Definition and 335 Threads

Homework Statement http://img66.imageshack.us/img66/9317/inlinelt8.th.jpg The Attempt at a Solution Sorry, By and B should be in lbs, not lbft http://img141.imageshack.us/img141/9320/pictarsp4.th.jpg My work just shows how I attempted to find the force B. According to my book, the force B...

Homework Statement A 3.0 m long rigid beam with a mass of 130 kg is supported at each end. A 65 kg student stands 2.0 m from support 1. How much upward force does each support exert on the beam? http://i241.photobucket.com/albums/ff4/alg5045/p13-56.gif Homework Equations The...

Homework Statement The problem is shown in the attachment. Homework Equations Mo = Ia MgL/2 = moment of inertia of the bar Io = Ig + md^2 parallel axis theorum The Attempt at a Solution I found the moment of inertia of the bar about its center of mass: MgL/2 = (4.6*9.81*1.3)/2...

I am programming a simple physics simulation and have been following along with some books about the subject. Everything has gone well so far, although at the moment I'm stuck on how to calculate the impulse when two rigid bodies collide. I'll explain the algorithms that I'm using below...

http://wps.prenhall.com/wps/media/objects/3076/3149958/studypak/questions/html/Ch16/9e_16_43.html That is the image of the problem, which includes a solution. PROBLEM- Besides being really confused on their work, the solution they give and the solution in the back of my book are both...

http://wps.prenhall.com/wps/media/objects/3076/3149958/studypak/questions/html/Ch16/9e_16_43.html That is the image of the problem, which includes a solution. PROBLEM- Besides being really confused on their work, the solution they give and the solution in the back of my book are both...

Homework Statement Description of a rigid body having an angular velocity w(t) = (cos(t), sin(t), sqrt(3)) How does a movement of a rigid body having this angular velocity looks like? For instance, what would be the course of a point p=(0, 0, 1) on this body? Homework Equations r the...

Homework Statement W = 20 lb k = 50 lb/ft r = 4 in. Initially displaced 0.5 in. Determine the frequency and maximum velocity of the wheel (which rolls without slipping). Homework Equations (theta) double dot + (w^2)theta = 0 (x) double dot + (w^2) (x) = 0 t = 2*pi / w...

Homework Statement Uniform disc, mass m, falls from position where theta 60 degrees. (P is a fixed point on rim of disc). Calculate the components of thrust along and perpendicular to GP on the smooth hinge at P when theta = 30degrees. see attatched image for diagram Homework...

Homework Statement I want to calculate the moment of inertia of a 2d triangle. Let's say we've got a triangle with sides of 20 units. So it has width 20 and height 17,32. Also, let's say this triangle has a mass of 173.20 mass units (just used the surface). Now I want to calculate the...

I would like to program some rigid body physics but my maths is a lot rusty. (for example I have done differential equations at uni, but forgot everything) I cannot quite seem to get my head around the equations in 3D, with simple euler method, and quaternions. Any suggestions for learning...

Homework Statement a rod with mass 'M' and length 'L' is pivoted about a frictionless axle through it's end .a bullet with mass 'm' and speed 'v' is shot and sticks to the rod a distance 'a' from the axle. I need to find the LINEAR momentum of the system just after the hit. Homework...

Does a rotating rigid disk, for example, feel centripetal acceleration at each point of its body? or more general: Is centripetal acceleration only for non-rigid bodies? (ball on a string, ex)?

the first and the second:

Homework Statement Consider a thin homogeneous plate with principal momenta of inertia I1 along axis x1, I2>I1 along x2, I3 = I1 + I2 along x3 Let the origins of the x and x' systems coincide at the center of mass of the plate. At time t=0, the plate is set rotatint in a force-free...

Problem statement: Consider a pendulum consisting of two parts: a uniform rod of mass m, length l, negligible thickness and with one end fixed; and a uniform disk of mass \mu and radius \rho. The rod is moving in a plane, and the disk is attached at a point P on its boundary to the non-fixed...

Is the kinetic energy of a (not necessarily homogeneous) rigid body in translational motion and rotating about its CM the sum of the kinetic energy if the object was still but rotating plus the kinetic energy if the object was in linear motion but not rotating? This seems highly unintuitive and...

I am having problems figuring out this problem. A rigid body having an axis of symmetry rotates freely about a fixed point under no torques. If alpha is the angle nbetween the axis of symmetry and hte instantous axis of rotaiton, show that he angle between the axis of rotaiton(omega) and the...

Hi, I'm developing a video game, in which I'm making a charactar with rigid-body physics (sometimes called "ragdoll" physics). The way I've made it is probably not completely realistic, because I only use velocity vectors to calculate the position of each joint of the "ragdoll", based on an...

It might be a stupid question but I do want to make sure of that: Angular momentum of a rigid body (such as a disc) is a constant vector in the lab frame. It is a vector in the body frame too, is it constant in the body frame? I refer to simple bodies with 3D rotation such as a rotationg...

A ring of mass 2.4kg, inner radius 6c.0cm, and outer radius 8.0cm is rolling (without slipping) up an inclined plane that makes an angle of theta=36.9 with the horizontal. At the moment the ring is x=2.0 m up the plane its speed is 2.8 m/s. the ring continues up the plane for some additonal...

A metre rule is freely pivoted about its centre. A piece of mud of mass 20g traveling at 5ms-1 strikes and sticks to one end of the rule so that the rule starts to rotate in a horizontal circle. If the moment of Inertia of the rule and the mud about the pivot is 0.02kgm^2, the initial angular...

I've been presented with the following problems, and would like some help/affirmation: SITUATION: A billiard ball with mass m and radius r is in rest on a horizontal table. The ball is hit with a billiard cue the height r/3 above the table, and has the velocity v0 immediately after the hit...

I have a pretty tricky question here and I can't seem to figure it out. I just maybe need a slight hint? Both rafters are 3m long and the tie rope is tied around them 0.5m from the bottoms. I've been playing with this for quite a while now so any little hints would be appreciated. Maybe...

Question: "A uniform rod of mass m and length 2a stands vertically on a rough horizontal floor and is allowed to fall. Assuming that slipping has no occured, write the angular velocity of the rod as a function of the angle Theta the rod makes with the vertical." WORK DONE: Ic = (ml^2)/3...

http://plaza.ufl.edu/sumitg/egm3400/HW6.BMP So I've gotten Vb, but no further. Any tips?

:cry: I am still stuck with this problem. Please, help if you can. A large, cylindrical roll of tissue paper of initial radius R lies on a long, horizontal surface with the outside end of the paper nailed to the surface. The roll is given a slight shove (V initial = 0) and commences to unroll...

I don't know how to calculate the following rigid bodies with different geometries, can anybody help me? Thin spherical shell: I=(2/3)MR^2 Solid sphere: I=(2/5)MR^2 Thanks in advance.

Hello again! About my last problem (cone principal moments of inertia around top vertice), I´ve found the main moments of inertia, but I did so by integrating the moments of inertia dI o a disk rotaing about it´s diameter (1/4 ML^2, by table), and found the correct answer. But I have done this...

QUESTION: The 50 kg uniform crate rests on the platform for which the coefficient of static friction is us = 0.5. If the supporting links have an angular velocity w = 1 rad/s, determine the greatest angular acceleration they can have so that the crate does not slip or tip at the instant theta...

The angular momentum of a rigid body is often calculated into different coordinate systems. One is an inertial system and the other is a body system moving with the rigid body. Now, in the body system the rigid body is at rest and has no movement at all. How is it that it can still have a...

How different/similar is molecular dynamics from rigid body dynamics? Could I use RBD software such as ODE to simulate MD? What assumptions/modifications would I need to make for this to work (e.g. treat atoms as rigid spheres connected through some special type of joints)?

Can someone please tell me if it is possible to calculate the torque on a rigid body without specifying the origin?

Any good links to lecture notes or anyone can explain the underlying concepts here? Are we just dealing with a summation of points constituting a single object? I am sorry if this question is too general or broad. Maybe a more specific question is why there are 6 coordinates needed to describe...

A question about Dynamics and drawing FBDs. In our book, we have an equation that says: \Sigma M_O = \Sigma M_{O(effective)} Most of the time, this basically translates into: \Sigma M_O = \overline{I}\alpha. The left-hand side basically represents the sum of the moments of all the...