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### Prob15168

Course: EGM 3400, Summer 2010
School: University of Florida
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Complete COSMOS: Online Solutions Manual Organization System Chapter 15, Problem 168. Collar E slides toward point A with a constant relative speed of 3 m/s along rod AB which rotates counterclockwise with a constant angular velocity of 15 rad/s. At the instant shown determine angular the velocity and angular acceleration of rod DE. Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer,...

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Complete COSMOS: Online Solutions Manual Organization System Chapter 15, Problem 168. Collar E slides toward point A with a constant relative speed of 3 m/s along rod AB which rotates counterclockwise with a constant angular velocity of 15 rad/s. At the instant shown determine angular the velocity and angular acceleration of rod DE. Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell 2007 The McGraw-Hill Companies.
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University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 169.Collar E slides away from point A with a constant relative speed of 2 m/s along rod AB which rotates clockwise with a constant angular velocity of 10 rad/s. At the insta
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 170.Pin P slides in a circular slot cut in the plate shown at a constant relative speed u = 180 mm/s. Knowing that at the instant shown the plate rotates clockwise about A a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 171.The collar P slides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular velocity of 20 rpm. Knowing that r = 10 i
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 172.Rod AD is bent in the shape of an arc of a circle of radius b = 150 mm. The position of the rod is controlled by pin B which slides in a horizontal slot and also slides
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 173.Solve Prob. 15.172 when = 90. Problem 15.172: Rod AD is bent in the shape of an arc of a circle of radius b = 150 mm. The position of the rod is controlled by pin B whic
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 174.Pin P is attached to the wheel shown and slides in a slot cut in bar BD. The wheel rolls to the right without slipping with a constant angular velocity of 20 rad/s. Know
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 175.Pin P is attached to the wheel shown and slides in a slot cut in bar BD. The wheel rolls to the right without slipping with a constant angular velocity of 20 rad/s. Know
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 176.The disk shown rotates with a constant clockwise angular velocity of 12 rad/s. At the instant shown, determine (a) the angular velocity and angular acceleration of rod B
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 177.Collar B slides along rod AC and is attached to a block that moves in a vertical slot. Knowing that R = 18 in., = 30 , = 6 rad/s, and = 4 rad/s 2 , determine the velocit
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 178.The Geneva mechanism shown is used to provide an intermittent rotary motion of disk S. Disk D rotates with a constant counterclockwise angular velocity D of 8 rad/s. A p
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 179.In Prob. 15,178, determine the angular velocity and angular acceleration of disk S at the instant when = 135.Problem 15.178: The Geneva mechanism shown is used to provi
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 180.In Prob. 15.149, determine the acceleration of pin P.Problem 15.149: The motion of pin P is guided by slots cut in rods AE and BD. Knowing that the rods rotate with the
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 181.The plate and rods shown are welded together to form an assembly which rotates about the ball-and-socket joint O with an angular velocity . Denoting the velocity of poin
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 182.The bowling ball shown rolls without slipping on the horizontal xz plane with an angular velocity = x i + y j + zk. Knowing that v A = (14.4 ft/s)i (14.4 ft/s) j + (10.8
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 183.The bowling ball shown rolls without slipping on the horizontal xz plane with an angular velocity = xi + y j + zk . Knowing that v B = (10.8 ft/s)i (14.4 ft/s) j + (14.4
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 184.The L-shaped arm BCD rotates about the z axis with a constant angular velocity 1 of 5 rad/s. Knowing that the 7.5-in.-radius disk rotates about BC with a constant angula
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 185.The blade assembly of an oscillating fan rotates with a constant angular velocity 1 = ( 450 rpm ) i with respect to the motor housing. Determine the angular acceleration
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 186.Gear A is constrained to roll on the fixed gear B but is free to rotate about axle AD. Axle AD is connected by a clevis to the vertical shaft DE which rotates as shown w
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 187.Gear A is constrained to roll on gear B but is free to rotate about axle AD. Axle AD is connected by a clevis to the vertical shaft DE which rotates as shown with a cons
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 188.A 60-mm-radius disk spins at the constant rate 2 = 4 rad/s about an axis held by a housing attached to a horizontal rod that rotates at the constant rate 1 = 5 rad/s. Fo
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 189.A 60-mm-radius disk spins at the constant rate 2 = 4 rad/s about an axis held by a housing attached to a horizontal rod that rotates at the constant rate 1 = 5 rad/s. Kn
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 190.A gun barrel of length OP = 12 ft is mounted on a turret as shown. To keep the gun aimed at a moving target the azimuth angle is being increased at the rate d / dt = 30/
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 191.In the planetary gear system shown, gears A and B are rigidly connected to each other and rotate as a unit about shaft FG. Gears C and D rotate with constant angular vel
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 192.In Prob. 15.186, determine the acceleration of the point on gear A which is in contact with gear B. Problem 15.186: Gear A is constrained to roll on the fixed gear B but
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 193.The cone shown rolls on the zx plane with its apex at the origin of coordinates. Denoting by 1 the constant angular velocity of the axis OB of the cone about the y axis,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 194.Two rods are welded together to form the assembly shown that is attached to a fixed ball-and-socket joint at D. Rod AB moves on the inclined plane E that is perpendicula
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 195.In Prob. 15.194 the speed of point B is known to be increasing at the rate 2 of 8 in./s . For the position shown, determine (a) the angular acceleration of the assembly,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 196.Rod AB of length 325 mm is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward point D at a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 197.Rod AB of length 325 mm is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves away from point D at
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 198.Rod BC, of length 18 in., is connected by ball-and-socket joints to the rotating arm AB and to collar C which can slide on the fixed rod DE. Arm AB is of length 2 in. an
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 199.Rod BC, of length 18 in., is connected by ball-and-socket joints to the rotating arm AB and to collar C which can slide on the fixed rod DE. Arm AB is of length 2 in. an
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 200.Rod AB of length 15 in. is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward point D at a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 201.Rod AB of length 15 in. is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward point D at a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 202.Rod AB of length 500 mm is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward point E at a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 203.Rod AB of length 500 mm is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward point E at a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 204.Two shafts AC and EG, which lie in the vertical yz plane, are connected by a universal joint at D. Shaft AC rotates with a constant angular velocity 1 as shown. At a tim
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 205.Solve Prob. 15.204 assuming that the arm of the crosspiece attached to shaft AC is horizontal.Problem 15.204: Two shafts AC and EG, which lie in the vertical yz plane,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 206.Rod BC of length 42 in. is connected by a ball-and-socket joint to collar B and by a clevis connection to collar C. Knowing that collar B moves toward A at a constant sp
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 207.Rod AB of length 11 in. is connected by a ball-and-socket joint to collar A and by a clevis connection to collar B. Knowing that collar B moves down at a constant speed
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 208.In Prob. 15.196, determine the acceleration of collar A.Problem 15.196: Rod AB of length 325 mm is connected by ball-and-socket joints to collars A and B, which slide a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 209.In Prob. 15.197, determine the acceleration of collar A. Problem 15.197: Rod AB of length 325 mm is connected by ball-and-socket joints to collars A and B, which slide a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 210.In Prob. 15.198, determine the acceleration of collar C. Problem 15.198: Rod BC, of length 18 in., is connected by balland-socket joints to the rotating arm AB and to co
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 211.In Prob. 15.199, determine the acceleration of collar C. Problem 15.199: Rod BC, of length 18 in., is connected by balland-socket joints to the rotating arm AB and to co
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 212.For the mechanism of Prob. 15.200, determine the acceleration of collar A. Problem 15.200: Rod AB of length 15 in. is connected by balland-socket joints to collars A and
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 213.For the mechanism of Prob. 15.201, determine the acceleration of collar A. Problem 15.201: Rod AB of length 15 in. is connected by balland-socket joints to collars A and
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 214.Rod AB is welded to the 12-in.-radius plate which rotates at the constant rate 1 = 6 rad/s. Knowing that collar D moves toward end B of the rod at a constant speed u = 7
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 215.The circular plate shown rotates about its vertical diameter at the constant rate 1 = 10 rad/s. Knowing that in the position shown the disk lies in the XY plane and poin
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 216.The bent pipe shown rotates at the constant rate 1 = 10 rad/s. Knowing that a ball bearing D moves in portion BC of the pipe toward end C at a constant relative speed u
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 217.The bent rod shown rotates at the constant rate 1 = 5 rad/s and collar C moves toward point B at a constant relative speed u = 975 mm/s. Knowing that collar C is halfway
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 218.The rectangular plate shown rotates at the constant rate 2 = 12 rad/s with respect to arm AE, which itself rotates at the constant rate 1 = 9 rad/s about the Z axis. For
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 219.The rectangular plate shown rotates at the constant rate 2 = 12 rad/s with respect to arm AE, which itself rotates at the constant rate 1 = 9 rad/s about the Z axis. For
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 220.A square plate of side 360 mm is hinged at A and B to a clevis. The plate rotates at the constant rate 2 = 4 rad/s with respect to the clevis, which itself rotates at th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 221.A square plate of side 360 mm is hinged at A and B to a clevis. The plate rotates at the constant rate 2 = 4 rad/s with respect to the clevis, which itself rotates at th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 222.Solve Prob. 15.216 assuming that at the instant shown the angular velocity 1 of the pipe is 10 rad/s and is decreasing at the rate of 15 rad/s 2 , while the relative spe
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 223.Solve Prob. 15.217 assuming that at the instant shown the angular velocity 1 of the rod is 5 rad/s and is increasing at the rate of 10 rad/s 2 , while the relative speed
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 224.Solve Prob. 15.219 assuming that at the instant shown the angular velocity 2 of the plate with respect to arm AE is 12 rad/s and is decreasing at the rate of 60 rad / s
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 225.Using the method of Sec. 15.14, solve Prob. 15.186. Problem 15.186: Gear A is constrained to roll on the fixed gear B but is free to rotate about axle AD. Axle AD is con
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 226.Using the method of Sec. 15.14, solve Prob. 15.187. Problem 15.187: Gear A is constrained to roll on gear B but is free to rotate about axle AD. Axle AD is connected by
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 227.Using the method of Sec. 15.14, solve Prob. 15.188. Problem 15.188: A 60-mm-radius disk spins at the constant rate 2 = 4 rad/s about an axis held by a housing attached t
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 228.Using the method of Sec. 15.14, solve Prob. 15.189. Problem 15.189: A 60-mm-radius disk spins at the constant rate 2 = 4 rad/s about an axis held by a housing attached t
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 229.The crane shown rotates at the constant rate 1 = 0.25 rad/s; simultaneously, the telescoping boom is being lowered at the constant rate 2 = 0.40 rad/s. Knowing that at t