) 5. Show that the center of mass of a uniform semicircular plate of radius R is located at y = 4R/3π
) 5. Show that the center of mass of a uniform semicircular plate of radius R...
A semicircular wire of radius R connects two straight wire segments. If a current I flows along the wire, the magnitude of the magnetic field at the center of the semicircular wire due to the current in the semicircular wire is A) μoI/8πR. B) μoI/2R. C) μoI/8R. D) μoI/4πR. E) μoI/4R.
A semicircular plastic wire of radius R has a uniform linear charge density λ. A point charge Q is placed at the center of the semicircle. What force does it feel? Give the magnitude and direction.
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius R. = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical...
M Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 2R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia / about the axis through the center of the rod. Write the expression in terms of M. R. and a numerical...
M 6 Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 3R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a...
Find the center of mass of a hemisphere with radius r, whose density is uniform.
2. Find the steady-state temperature u(r,0) in a semicircular plate of radius r 2 if [10<0< π/2 u(2,0) and the edges 0 = 0 and 0 = T are insulated. 0 /20 T пл sin 2 1 2 + cos(n0) Ans: u(r,0) п
5. A sphere of radius R contains a uniform charge density p and is centered at the origin. It also contains a spherical cavity of radius a with its center located at br, where b + a〈 R. Show that the field in the cavity is constant, and find its value. (Hint: Use superposition)