constraint equations Definition and 13 Threads

Hi, I was wondering if you could help me with a job at the university that consists of the kinematic modeling of mechanism number 3 in the image attached to this message. I have to set up the constraint equations and then solve the position, velocity and acceleration problem. For now I would...

See the solved example as shown in the image. I don't understand how can we write S(A)=2S(B) since integrating V(A)=2V(B) will give us an extra unknown constant and the work done by friction will depend on it. I found the relation 2S(B) + S(A) = const. (somebody confirm if this is right?) so...

1. The problem: Two blocks of mass m=5kg and M= 10kg are connected by a string passing over a pulley B. Another string connects pulley B to the floor and passes over pulley A. An upward force F is applied at the centre of pulley A. Both pulleys are massless. Find acceleration of the blocks if F...

Homework Statement Block C is moving with a velocity v0 and block A and B are moving with velocities v1 and v2 with respect to block C. Find the relation between v0, v1 and v2 Homework Equations none The Attempt at a Solution Since the string is in-extensible, its velocity at both ends...

Homework Statement In the system shown, the strings and the pulleys are ideal. There is no friction anywhere in the system. As the system is released, block m1 moves downward. If the magnitude of the acceleration of block m1 is a, what is the magnitude of the acceleration of block m2?Homework...

How do constraint equations in mechanics work? Hi, friends! I'm having some trouble understanding the constraint equations:- (1) How do they relate the length of the string to the position of the block attached to it? The position of the block must be a vector and it must be differentiated...

Homework Statement A uniform rod of length l rests on a horizontal floor and leans against a vertical wall, making an angle \theta with the floor. It is initially held at rest. At t = 0, the rod is released and falls, sliding on the floor and the wall with no friction. The only forces acting on...

Homework Statement Please see the attached file for the problem and figure. Homework Equations The Attempt at a Solution This is what I have so far: The position vector of the block, pblock= xblock wx+ yblock wy pblock dot omegaz=0 holonomic constraint equation (dot product) n=3N-M...

Homework Statement A particle of mass M is constrained to move on a ring of radius r which rotates about a vertical axis (Y) passing through the center at a constant angular speed (omega). I am to find the constraint equation(s) for this system. The origin of the system is at the...

Thanks so much guys

Can questions like the one given in the following pic be solved by taking the reference frame answhere in the middle of the string and not on the fixed pulley?(http://cnx.org/content/m14731/latest/pq8.gif) A somewhat similar method has been given in http://cnx.org/content/m14783/latest/"...

Having a Lorentzian 4-manifold, the Einstein vacuum equations of general relativity read \overline R_{\alpha \beta} - \frac{1}{2}\overline g_{\alpha\beta}\overline R=0 where \overline R the scalar curvature, \overline g_{\alpha\beta} the metric tensor and \overline R_{\alpha\beta} the Ricci...

Solving constraint equations [Term Paper, HELP please] Hi, I am new here. I'm not sure if this fits in calculus&analysis forum, but i figured its not really simple math so, please move it into approprieate area if deemed necessary... I am doing materials selection analysis and my constraint...