a mass m is subject to a resistive force -bv but no springlike restoring force. (a) show that its displacement as a function of time is of the form where γ = b/m. (b) at t = 0 the mass is at rest at x = o. at this instant a driving force f = fo cos ar is switched on. find the values of a and δ in the steady-state solution x a cos(wt-5). (c) write down the general solution [the sum of parts (a) and (b)] and find the values of c and vo from the conditions that x -0 and dx/dt = 0 at t 0. sketch x as a function of 1.

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.