A non-conducting sphere of radius a and charge q has a constant interior charge density p. Using Gauss, find and plot the functions for the electric field strength in the following regions. a) r > a b) r

Find the centre of mass of the 2D shape bounded by the lines y = ±1.3x between x = 0 to 2.1. Assume the density is uniform with the value: 3.5kg. m-2 Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 1.9kg. m (Give all your answers rounded to 3 significant figures.) a) Enter the mass (kg) of the 2D plate: Enter the Moment (kg.m) of the 2D plate about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 2D plate: S Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body: a ed db) ks 10

X L In the figure particle 1 of charge q1 = 0.92 μC and particle 2 of charge q2 = -3.03μC, are held at separation L = 9.0 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a)x and (b)y coordinates of particle 3.

A frame shown in the figure consists of a horizontal rigid bar that is supported by two concrete columns. The temperature of system is increased by ΔT= 90 °C. Assume α1 = 7.5 x10-6/°C, α2 = 13 x10-6/°C, a = 290 mm, and L = 270 mm Determine the angle of rotation if the temperature of system is increased by ΔT? In micro rad