1. a 1-in diameter solid round bar has a groove 0.1in deep with a 0.1-in radius machined into it. the bar is made of aisi 1040 cd steel and is subjected to a purely reversing torque of 1950 lbf·in. for the s-n curve of this material, let f = 0.85. (a) estimate the number of cycles to failure (b) if the bar is also placed in an environment with a temperature of 750°f, estimate the number of cycles to failure.

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.