Problem 3: A small sphere with mass m and charge q is attached to one end of a string with length L and tension F_r. The other end of the string is attached to a wall which has surface-charge density σ. The angle between the string and the wall is θ, as shown in the drawing.
Part (a) Please use the interactive area below to draw the Free Body Diagram for the small sphere.
Part (b) Enter an expression for the sum of the horizontal components of the forces in the diagram in terms of the variables given in the problem statement and standard physical constants.
Part (c) Enter an expression for the sum of the vertical components of the forces in the diagram in terms of the variables given in the problem statement and standard physical constants.
Part (d) Given the values L = 7 cm, q = 71 nC, σ = 3.8 μC/m^2, and m = 3.8 g, enter a numeric value for the angle θ, in degrees.
Part (e) Using the same values, L = 7 cm, q = 71 nC, σ = 3.8 μC/m^2, and m = 3.8 g, enter a numeric value for the tension in the string, F_r, in newtons.