Figure 21-42 shows a long, nonconducting, massless rod of length L , pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2 q , respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q . (a) Find the distance x when the rod is horizontal and balanced. (b) What value should h have so that the rod exerts no vertical force on the bearing when the rod is horizontal and balanced? Figure 21-42 Problem 50.
Figure 21-42 shows a long, nonconducting, massless rod of length L , pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2 q , respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q . (a) Find the distance x when the rod is horizontal and balanced. (b) What value should h have so that the rod exerts no vertical force on the bearing when the rod is horizontal and balanced? Figure 21-42 Problem 50.
Figure 21-42 shows a long, nonconducting, massless rod of length L, pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2q, respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q. (a) Find the distance x when the rod is horizontal and balanced. (b) What value should h have so that the rod exerts no vertical force on the bearing when the rod is horizontal and balanced?
Figure 21-42 Problem 50.
Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video
Identical thin rods of length 2a carry equal charges, +Q, uniformly distributed along their lengths. The rods lie along the x axis with their centers separated by a distance of b > 2a. Show that the magnitude of the force exerted by the left rod on the right one is given by the following expression
Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin.
Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod?
Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.
Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.
Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…
Two red blood cells each have
mass of 9.05 × 10-14
kg and carry a negative charge spread uniformly over their surfaces. The
repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -2.30 pC and the other
-2.60 pC, and each cell can be modeled as a sphere 3.75 x 10-° m in radius. If the red blood cells start very far apart and move
directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely
touch? Assume that there is no viscous drag from any of the surrounding liquid.
initial speed:
m/s
What is the maximum acceleration of the cells as they move toward each other and just barely touch?
maximum acceleration:
m/s?
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