Bead Definition and 128 Threads

Homework Statement A bead of mass m slides without friction on a smooth rod along the x-axis. The rod is equidistant between two spheres of mass M. The spheres are located at x=0 , y= \pm a. a. Find the potential energy of the bead. b. The bead is released at x = 3a with an initial...

Homework Statement A small bead with a mass of 100 g slides without friction along a rotating semicircular steel wire, where the semicircle has radius 10cm. The steel wire rotates about a vertical axis at a rate of 2 revolutions per second. Find the positions at which the bead will be...

Homework Statement Find the period of oscillation of a bead on a cycloid string. If it matters, the original equations of the cycloid were x=a(\theta-sin\theta) and y=a(1+cos\theta) Homework Equations This is a small part of a larger problem... I found the equation of motion of a bead on a...

Homework Statement postively charged bead having a mass of .61g falls from rest in a vacuum from a height of 5.9 m in a uniform vertical electric field of magnitude 11600 N/C. The bead hits the ground at a speed of 19 m/s. acceleration of gravity is 9.8 m/s^2. find the charge on the bead...

Circular Motion! Homework Statement A bead of mass m moves on a smooth circular ring of radius a which is fixed in a vertical plane. Its speed at A, the highest point of its path, is v and its speed at B, the lowest part of its path, is 7v. a) show that v= [square root](ag/12) b) find...

1. Homework Statement A 5.0×10^−2g plastic bead is charged by the addition of 1.0×10^10 excess electrons. What electric field (strength) will cause the bead to hang suspended in the air? 2. Homework Equations 3. The Attempt at a Solution It has something to do with F = Eq but i...

Another Lagrangian problem: Bead sliding along a horizontal rotating ring Homework Statement A horizontal ring of mass M and radius a rotates freely about a vertical axis passing through a point on its circumference. If a bead of mass m slides along the ring without friction, what is the...

Homework Statement Determine the kinetic energy of a bead of mass m which slides along a frictionless wire bent in the shape of a parabola of equation y = x2. The wire rotates at a constant angular velocity \omega about the y-axis. Homework Equations T = \frac{1}{2}m(\dot{x}^2 +...

Hello. I'm having trouble with the following problem. A round hole is drilled through the center of a spherical solid of radius r. The resulting cylindrical hole has height 4 cm. What is the volume of the solid that remains? Here's the pic that I drew, I hope it's useful...

Homework Statement It seems simple, doesn't it? A bead starts from (0,1/2) and simply slides down the parabola y=(1/2)(x-1)[SUP]2 under gravity. The problem is to get its position rel. to origin in terms of time, ie. r = [x(t),y(t)]. Anyone into this? Homework Equations y' = x-1 = tan...

Hi, please let me know the purpose of having a ferrite bead isolation for ground (between digital and power)? as far as i understand. the ferrites will be helpful in case of power noise filtering. And noise from digital line return path wouldn,t affect the power levels as it might do for...

Homework Statement Consider a bead of mass m that can slide freely on a circular hoop of radius a which lies in a vertical plane. The hoop rotates about a vertical axis through its centre at fixed angular velocity \omega. The angle \theta is the polar angle of the bead measured from the...

A 0.400 kg bead slides on a straight frictionless wire with a velocity of 3.50 cm/s to the right. The bead collides elastically with a larger 0.600 kg bead initially at rest. After the collision, the smaller bead moves to the left with a velocity of 0.70 cm/s. Find the distance the larger bead...

Homework Statement "Consider a bead of mass m that is free to move around a horizontal, circular ring of wire (the wire passes through a hole in the bead). You may neglect gravity in this problem (assume the experiment is being done in space, far away from anything else). The radius of the...

1. A 0.180g plastic bead is charged by the addition of 0.700 x 10^10 excess electrons. What electric field strength will cause the bead to hang suspended in the air? 2. Is amount of excess electrons the exact same as the charge of the bead?? 3. I am sure you use F=qE. But I am...

[SOLVED] Bead confined to a circular hoop Homework Statement A bead with mass m is confined to traveling along a cirlcular hoop with radius r. The bead can slide without friction along this hoop. The hoop, which is vertical, rotates with an angular velocity (omega). What is the angle...

I currently have this problem for homework: A 1.80 -diameter glass bead is positively charged. The potential difference between a point 1.80 from the bead and a point 4.00 from the bead is 470 . What is the charge on the bead? And I cannot seam to get it. First I thought that I should...

Bead and loop-the-loop: normal force?? Homework Statement A bead sliding around a loop the loop. Given its mass and speed at the top of the loop, we want the normal force on it. Homework Equations mv^2/r = mg + N The Attempt at a Solution I have the correct solution that the...

Homework Statement A bead slides without friction around a loop-the-loop. The bead is released at height y from the bottom of the loop, which has radius r. What is the instantaneous kinetic energy K at the top of the loop so that the bead would press the track with an upward force F=mg/2...

Homework Statement A block attached to a spring underneath oscillates vertically with a frequency of 4Hz and an amplitude of 7.00cm. A tiny bead is placed on top of the block jut as it reaches its lowest point. Assume the bead's mass is so small that its effect on the motion of the block is...

We're trying to maximize (then minimize) the volume of a sphere wuth a cylinder drilled through the center. So I have a circle with the equation x^2 + y^2 = R^2, and I'm going to rotate it around the y-axis. Actually, I'm only going to rotate the quarter of it that lies in the first quadrant...

A wire could be shaped like a sinusoidal function and then we could say the bead moves harmonically. The shape of the wire, so that bead occilates around X = 0. Y = -50*cos(10X) If we ignore friction and give it a small dispalcement then it is possible to find angular frequency...

consider a bead of mass m constrained to move on a fricitonless wire helix whose equations in cylindrical polar coords is z = a phi where a is some constant the bead is acted upon by a force which deends on the distance from the cneter only. Formulate the problem using s the distance along...

Consider a bead of mass m that is free to move on a thin, circular wire of radius r. The bead is given an initial speed v0 and there is a coefficient of kinetic friction us. The experiment is performed in a spacecraft drifting in space. Find the speed of the bead at any subsequent time t. I...

In one container there are two black beads, in another two white beads, and in a third there are one black and one white bead. They are labelled appropriately BB, WW, and BW. Someone moved the labels in such a way that for each container the label doesn't show its contents. Can you determine the...

Can a bead desecnd down a helix have zero vertical component for its acceleration? (i.e. If I found my result to only has coefficients for its horizontal radial component unit vector (e_r), but zero for that of the vertical unit vector (e_z) ! ... That means I got zero vertical component for...

A small bead with a mass of 100grams slides along a semicircular wire with a radius of 10 centimeters that rotates about a vertical axis at a rate of 2 revolutions per second.Find the value of angle p for which the bead will remain stationary with respect to rotating wire. Any idea on this?

Does anybody have a good protocol for DNA - bead attachment ? The Bead is streptavidin coated and the DNA has biotin and DIG on its ends.