ࡱ> ` @bjbj 4FHHHHHHH\DDDD<T\"2aaa51717171717171$ 3ht5[1Haa[1HH1HH5151.HH/ [> 'Da/1010"2u/6_p6(/6H/a0"aaa[1[1 aaa"2\\\d \\\ \\\HHHHHH EGR 280 Mechanics Problem Set 11 Graphics and problem statements 2004 R.C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ.  INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-01UNP02.JPG" \* MERGEFORMATINET 11.1 The 10-lb block has an initial velocity of 10 ft/s on the smooth plane. If a force F = (2.5t) lb, where t is in seconds, acts on the block for 3 seconds, determine the final velocity of the block and the distance the block travels during this time. Ans: v = 46.2 ft/s, s = 66.2 ft   INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-05UNP06.JPG" \* MERGEFORMATINET 11.2 The baggage truck A has a mass of 800 kg and is used to pull two cars, each with a mass of 300 kg. If the tractive force F on the truck is F = 480 N, determine the initial acceleration of the truck. What is the acceleration of the truck if the coupling at C suddenly fails? The car wheels are free to roll; neglect the mass of the wheels. Ans: a = 0.343 m/s2, a = 0.436 m/s2  INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-12UNP14.JPG" \* MERGEFORMATINET 11.3 Each of the two blocks has the same mass m. The coefficient of kinetic friction, , is the same at all surfaces of contact. If a horizontal force P moves the bottom block, determine the acceleration of the bottom block in each case. Ans: aA = (P/2m)  2g INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-16UNP18.JPG" \* MERGEFORMATINET 11.4 The man pushes on the 60-lb crate with a force F as shown. The magnitude of the force is increased until the crate begins to slide. Determine the crates initial acceleration if s = 0.6 and k = 0.3. Ans: a = 14.8 ft/s2  INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-20UNP23.JPG" \* MERGEFORMATINET 11.5 A force F = 15 lb is applied to the cord. Determine how high the 30-lb block A rises in 2 s, starting from rest. Neglect the weight of the cords and the pulleys. Ans: s = 64.4 ft  INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_10-26UNP30.JPG" \* MERGEFORMATINET 11.6 Determine the tension developed in the cords attached to each block and the accelerations of the blocks. Neglect the mass of the pulleys and cords. Ans: aA = 1.51 m/s2 ! , TA = 90.6 N, aB = 6.04 m/s2 ! , TB = 22.6 N,   INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_15-01UNP53_54.JPG" \* MERGEFORMATINET 11.7 The sports car, having a mass of 1700 kg, is traveling horizontally along a 20 banked circular track with a radius of curvature of 100 m. If s = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Ans: vmax = 24.4 m/s 11"#CF I J L P I J K N P R V _ c l m n o r s      ÿîâ~~woÿgg_gjbIh}OUjh}OUhWhZ6 h h" hAl5hAl5 hAl56hPN h hZ hZ6h}Oh}O6h}OhWhZ5 h}O5h_jh_Uh=hZh,h,CJaJh,B*CJOJQJphh,CJaJ hI5 h_5 h&5hZhZ5%#ZJ J K m n o mzkdI$$Ifl0z" t0644 la $Ifgd*o $$Ifa$gd*o @o p q r  { | P 2of $Ifgd*ozkd$$Ifl0z" t0644 la $Ifgd}O $$Ifa$gd*o  # 7 8 ' ( | L M N O P R U V  024<@BDF`b󿷿󝙑}uh=h=6h=h=6H* h 6 hPN6hL(=hL(=6hL(=h6 ~ h.D5hIhZ5 h}O5hZjh}OUjh}OU h}Oh}Oh=h=H* h=h= h=6 h}O6h$h}Oh}O6h}Oh}Oh}O5.24fha.0Z\{o $$Ifa$gd*ozkd$$Ifl0z" t0644 la $Ifgd*obdfhj]^_`acefg,08:<DVXZ\^`|xpxhZh.D5h.Djush:Ujh:Uh= h6 ~H*h=h=H* h=h=hPNhZhZ6h:h:H*h:h:5h: h.D5hZhZ5 h|L5 h:5jh}OUh}Ojh}OUhZ h hL(= h=6)\^xooof $Ifgd*o $Ifgd.D $$Ifa$gd*ozkds$$Ifl0z" t0644 laFGHIJKLMNP  &(*>@DLNPbdfhnpڽڽֲ핡քh= hPN5h=h=6hohoh=H* h$h=h$h=6H*h  h.Dh.D h:5jh:Uh:jh:Uh.D h.D5 hPNhPN h=h= h=6 hPN6h.Dh.D64J$dfxooffff $Ifgd*o $Ifgd.D $$Ifa$gd*ozkdm$$Ifl0z" t0644 lafhjlnxxxxooof $Ifgd*o $Ifgd  $$Ifa$gd*ozkd $$Ifl0z" t0644 la 44444444444Z5[5\5]5^5`5b5d5¾뗕zrrjrjMhAl5UjhAl5U hAl5hAl5hPNh=6hAl5hAl56hAl5UhAl5hAl55 h.D5 hPNh h= h=6H*hPNhPN6hPNh.Dh 6h h:h:H*h: h.Dh  h 5 hAl55h.Dj h:Ujh:U)4444{{{{ $Ifgd zkdL$$Ifl0z" t0644 la.8 Using the data in Problem 11.7, determine the minimum constant speed at which the car can travel around the track without sliding down the slope. Ans: vmin = 12.2 m/s  INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_15-05UNP59_60.JPG" \* MERGEFORMATINET 11.9 At the instant  = 60, the boy s center of mass G has a downward speed vG = 15 ft/s. Determine the rate of increase in his speed and the tension in each of the two supporting cords of the swing at this instant. The boy weighs 60 lb. Neglect his size and the weight of the seat and the cords. Ans: at = 16.1 ft/s2, T = 46.9 lb   INCLUDEPICTURE "http://media.pearsoncmg.com/ph/esm/esm_hibbeler_engineerok_11/pres_res/pres_resources_images/images/chapter_13/FG13_15-13UNP71.JPG" \* MERGEFORMATINET 11.10 Cartons having a mass of 5 kg are required to move along the assembly line at a constant speed of 8 m/s. Determine the smallest radius of curvature 44^588=8>8y $Ifgd*o $Ifgd  $$Ifa$gd*ogkdNM$$Iflz"" t0644 lad5r6t6v6888 8!8"8#8.8/838<8=8>8?8@8A888888888:@p@r@@@@@@@@@@@ûô~~vqqç hAl56h.DhAl56h:hAl5H*U hAl5hAl5hAl5hAl55jhAl5UjhAl5Uh=h.D h.D5 hPNh h=h=H* h=h=h=h=6H* h=6 hPN6h.Dh 6h h$hAl56H*h$hAl56hAl5)>8?8@88@@@@@xxoofoo $IfgdAl5 $Ifgd  $$Ifa$gd*ozkd,$$Ifl0z" t0644 la for the conveyor so the cartons do not slip. Assume s = 0.7 and k = 0.5. 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