The force-couple system at A is to be replaced by a single equivalent force acting at a point B on the vertical edge (or its extension) of the triangular plate. Determine the distance d from point A. If d is below point A your answer will be positive, if it is above A your answer will be negative. Express the answer in general terms and then apply your answer for the case: R = 210 N, MA = 60 N·m, h = 2.3 m, b = 3.5 m.

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants