{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 92 "SE111 homework assigned We ek 5 block 5 by Dr. Rickert. Due Monday, October 11, 1999 by 5PM. " } {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Problem 1" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "Determine the projection of the ve ctor 4" }{TEXT 256 1 "i" }{TEXT -1 4 " + 3" }{TEXT 257 1 "j" }{TEXT -1 19 " onto the vector -6" }{TEXT 258 1 "i" }{TEXT -1 4 " + 3" } {TEXT 259 1 "j" }{TEXT -1 2 ". " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Problem 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "A mass of 10kg is placed on an incline of " }{XPPEDIT 18 0 "Pi;" "6#%#PiG" }{TEXT -1 356 "/7. The amount of for ce required to keep the object from sliding down the incline is the si ze of the projection of the force vector (weight of the object pointin g in the direction of gravitational attraction) onto the incline (find a vector parallel to this direction). Determine how much force is req uired to keep the mass from sliding down the incline. " }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Problem 3" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 140 "A ball is hit (still in a vacuum) at an initial height of 1 me ter, with an initial speed of 40 meter per second and angle of inclina tion of " }{XPPEDIT 18 0 "Pi;" "6#%#PiG" }{TEXT -1 187 "/6. Assume tha t the only force acting on the ball is that of gravity (downward at 9. 81 m/s/s). The fence is 440 feet away and is 5 meters high. Determine \+ whether the ball clears the wall." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 " Problem 4" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 117 "A ball is hit at a h eight of 1.8 meters with an intial velocity of 29.43 meters per second and angle of elevation of " }{XPPEDIT 18 0 "Pi;" "6#%#PiG" }{TEXT -1 220 "/3. The ball is hit towards an outfielder standing 88.29 meters from the point of impact. The outfielder eyes are 1.8 meters above th e ground. \nRelative to the outfielder's eyes, the ball is an some ang le of elevation " }{XPPEDIT 18 0 "theta(t);" "6#-%&thetaG6#%\"tG" } {TEXT -1 18 ", where the angle " }{XPPEDIT 18 0 "theta;" "6#%&thetaG" }{TEXT -1 68 " is a function of the time since the impact. Determine t he function " }{XPPEDIT 18 0 "theta(t);" "6#-%&thetaG6#%\"tG" }{TEXT -1 19 " in simplest form. " }}{PARA 0 "" 0 "" {TEXT -1 15 "(hint: what is " }{XPPEDIT 18 0 "tan(theta(t));" "6#-%$tanG6#-%&thetaG6#%\"tG" } {TEXT -1 2 "?)" }{TEXT -1 3 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Problem 5" } }{EXCHG {PARA 0 "" 0 "" {TEXT -1 210 "A planet orbits a star in a circ ular orbit with a period of 1 year at a distance of 130 million kilome ters. \nWrite a parametric (vector) representation describing the plan et's motion relative to the fixed star." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Problem 6" } }{EXCHG {PARA 0 "" 0 "" {TEXT -1 209 "A moon orbits the planet of Prob lem 5 with a period of 1/27.2 years at a distance of 10 million kilom eters. Write a parametric (vector) representation describing the moon' s motion relative to the fixed star. " }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "7 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }