A non-uniform rod of length 0.5m is placed along the x-axis at a distance.2m from the...
0 A rod of length L and mass M is placed along the x-axis with one end at the origin, as shown in the figure above. The rod has linear mass density λ=en-x, where xis the distance from the origin. Which of the following gives the x-coordinate of the rod's center of mass? 2M 12 (B) I (C)江 4
A uniform thin rod of mass M and length L lies on the positive x-axis with one end at the origin.Consider an element of the rod of length dx., and mass dm at point where 0<x<L. a) What is the gravitational field produced by the mass element of any value of X? b)Calculate the total gravitational field produced by the rod. C)Find the gravitational force on a point particle of mass m0 at x0. D) Show that for x0>>L the...
A thin, uniform rod has length L and the linear density a (i.e. total mass M=al). A point mass m is placed at distance x from one end of the rod, along the axis of the rod. Calculate the gravitational force of the rod on the point mass m. (Hint: element of the mass is dM = adx) -GmM/x? O-GmM/(L2-x2) -GmM/(x+.5L) -GmM/(x2+Lx)
A vertical straight conductor X of length 0.5m is held along +ve X-axis and situated in a uniform horizontal magnetic field of 0.1T which is pointing towards +ve Y-axis (i) Calculated the force on X when a current of 4A is passed through it. (ii) Through what angle must X be turned to a vertical plane so that the force on X is halved? A straight horizontal rod of mass 50 gm and length 50 cm is placed in uniform...
(1 point) A rod has length 5 meters. At a distance x meters from its left end, the density of the rod is given by S(x) = 1 + 3x g/m. (a) Complete the Riemann sum for the total mass of the rod (use Dx in place of Ax): mass = (b) Convert the Riemann sum to an integral and find the exact mass. OPP mass = (include units)
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is non uniform and varies as λ = λ。x/L, where λ, is a constant. (a) Find the magnitude of the force on a point charge q at x-a in terms of q, λ, a, and L. (b) Show that for a » L the answer in (a) reduces to (c) What is the total charge on the rod? (d)...
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is nonuniform and varies as λ-λ, x/L, where λ° is a constant. (a) Find the magnitude of the force on a point charge q at x = a in terms of q, , a, and L. (b) Show that for a >> L the answer in (a) reduces to c) What is the total charge on the rod? (d)...
(a) A thin plastic rod of length L carries a uniform linear charge density, λ-20 trCm, along the x-axis, with its left edge at the coordinates (-3,0) and its right edge at (5, 0) m. All distances are measured in meters. Use integral methods to find the x-and y-components of the electric field vector due to the uniformly-charged charged rod at the point, P. with coordinates (0, -4) m. 4, (o, 4 p2212sp2018 tl.doex
Two masses are placed on the x axis. The first mass 360 kg is located at x = 3.70 cm , the second mass 690 kg is at the origin Find the gravitational force between the two masses. 3 sig. fig
Consider a very (infinitesimally!) thin but massive rod, length L (total mass M), centered around the origin, sitting along the x-axis. (So the left end is at (-L/2, 0,0) and the right end is at (+L/2,0,0) Assume the mass density λ (which has units of kg/m)is not uniform, but instead varies linearly with distance from the origin, λ(x) = c|x|. a) What is that constant “c” in terms of M and L? What is the direction of the gravitational field...