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### Prob15051

Course: EGM 3400, Summer 2010
School: University of Florida
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Word Count: 109

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Complete COSMOS: Online Solutions Manual Organization System Chapter 15, Problem 51. In the planetary gear system shown, the radius of gears A, B, C, and D is 60 mm and the radius of the outer gear E is 180 mm. Knowing that gear E has an angular velocity of 120 rpm clockwise and that the central gear has an angular velocity of 150 rpm clockwise, (a) determine the angular velocity of each planetary gear, (b) the...

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Complete COSMOS: Online Solutions Manual Organization System Chapter 15, Problem 51. In the planetary gear system shown, the radius of gears A, B, C, and D is 60 mm and the radius of the outer gear E is 180 mm. Knowing that gear E has an angular velocity of 120 rpm clockwise and that the central gear has an angular velocity of 150 rpm clockwise, (a) determine the angular velocity of each planetary gear, (b) the angular velocity of the spider connecting the planetary gears. 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 52.In the planetary gear system shown, the radius of the central gear A is a, the radius of the planetary gears is b, and the radius of the outer gear E is a + 2b. The angul
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 53.Three gears A, B, and C are pinned at their centers to rod ABC. Knowing that end A of rod ABC is fixed and that gear A does not rotate, determine the angular velocity of
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 54.Three gears A, B, and C are pinned at their centers to rod ABC. Knowing that end C of rod ABC is fixed and that gear C does not rotate, determine the angular velocity of
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 55.In the eccentric shown, a disk of 40-mm-radius revolves about shaft O that is located 10 mm from the center A of the disk. The distance between the center A of the disk a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 56.Determine the velocity of the block of Prob. 15.55 when = 120. Problem 15.55: In the eccentric shown, a disk of 40-mm-radius revolves about shaft O that is located 10 mm
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 57.Knowing that the disk has a constant angular velocity of 15 rad/s clockwise, determine the angular velocity of bar BD and the velocity of collar D when (a) = 0, (b) = 90,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 58.The disk has a constant angular velocity of 20 rad/s clockwise. (a) Determine the two values of the angle for which the velocity of collar D is zero. (b) For each of thes
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 59.Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD, (b) the velocity of collar D,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 60.Knowing that at the instant shown the velocity of collar D is 1.6 m/s upward, determine (a) the angular velocity of rod AD, (b) the velocity of point B, (c) the velocity
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 61.In the engine system shown, l = 8 in. and b = 3 in. Knowing that the crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of pi
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 62.In the engine system shown, l = 8 in. and b = 3 in. Knowing that the crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of pi
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 63.In the position shown, bar AB has an angular velocity of 4 rad/s clockwise. Determine the angular velocity of bars BD and DE.Vector Mechanics for Engineers: Statics and
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 64.Bar AB is rotating counterclockwise and, at the instant shown, the magnitude of the velocity of point G is 2.5 m/s. Determine the angular velocity of each of the three ba
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 65.At the instant shown, bar AB has a constant angular velocity of 25 rad/s counterclockwise. Determine at that instant (a) the angular velocity of the rectangular plate FBD
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 66.At the instant shown, bar DE has a constant angular velocity of 35 rad/s clockwise. Determine at that instant (a) the angular velocity of the rectangular plate FBDH, (b)
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 67.Knowing that at the instant shown the angular velocity of rod AB is 15 rad/s clockwise, determine (a) the angular velocity of rod BD, (b) the velocity of the midpoint of
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 68.In the position shown, bar AB has a constant angular velocity of 3 rad/s counterclockwise. Determine the angular velocity of bars BD and DE.Vector Mechanics for Engineer
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 69.An automobile travels to the right at a constant speed of 80 km/h. If the diameter of the wheel is 560 mm, determine the velocities of points B, C, D, and E on the rim of
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 70.The 4-in.-radius wheel shown rolls to the left with a velocity of 45 in./s. Knowing that the distance AD is 2.5 in., determine the velocity of the collar and the angular
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 71.A helicopter moves horizontally in the x direction at a speed of 180 km/h. Knowing that the main blades rotate clockwise with an angular velocity of 180 rpm, determine th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 72.A 5-m beam AE is being lowered by means of two overhead cranes. At the instant shown it is known that the velocity of point D is 1 m/s downward and the velocity of point
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 73.The arm ABC rotates with an angular velocity of 4 rad/s counterclockwise. Knowing that the angular velocity of the intermediate gear B is 8 rad/s counterclockwise, determ
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 74.A drum of radius 4 in. is mounted on a cylinder of radius 5 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 i
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 75.At the instant shown during deceleration, the velocity of an automobile is 12 m/s to the right. Knowing that the velocity of the contact point A of the wheel with the gro
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 76.At the instant shown during acceleration, the velocity of an automobile is 12 m/s to the right. Knowing that the velocity of the contact point A of the wheel with the gro
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 77.A roll of paper rests on a horizontal surface as shown. End D of the paper is then pulled to the right with a constant velocity of 8 in./s and it is observed that the cen
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 78.A double pulley is attached to a slider block by a pin at A. The 1.5-in.-radius inner pulley is rigidly attached to the 3-in.-radius outer pulley. Knowing that each of th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 79.Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD, (b) the velocity of collar D,
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 80.Knowing that at the instant shown the angular velocity of rod AB is 15 rad/s clockwise, determine (a) the angular velocity of rod BD, (b) the velocity of the midpoint of
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 81.Knowing that at the instant shown the angular velocity of bar DC is 18 rad/s counterclockwise, determine (a) the angular velocity of bar AB, (b) the angular velocity of b
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 82.Knowing that at the instant shown bar AB is rotating counterclockwise and that the magnitude of the velocity of the midpoint of bar BC is 7.8 ft/s, determine (a) the angu
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 83.Rod ABD is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that at the instant shown = 60 and the velocity of wheel B is 800 mm/s downwar
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 84.An overhead door is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that when = 40o the velocity of wheel B is 0.6 m/s upward, determine
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 85.In the position shown, bar DE has a constant angular velocity of 15 rad/s clockwise. Determine (a) the distance b for which the velocity of point F is vertical, (b) the c
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 86.Collars A and B are pin-connected to bar ABD and can slide along fixed rods. Knowing that at the instant shown the velocity of A is 0.9 m/s to the right, determine (a) th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 87.Small wheels have been attached to the ends of bar AB and roll freely along the surfaces shown. Knowing that the velocity of wheel B is 7.5 ft/s to the right at the insta
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 88.At the instant shown, the angular velocity of bar DE is 8 rad/s counterclockwise. Determine (a) the angular velocity of bar BD, (b) the angular velocity of bar AB, (c) th
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 89.Two identical rods ABF and DBE are connected by a pin at B. Knowing that at the instant shown the velocity of point D is 200 mm/s upward, determine the velocity of (a) po
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 90.The pin at B is attached to member ABD and can slide freely along the slot cut in the fixed plate. Knowing that at the instant shown the angular velocity of arm DE is 3 r
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 91.Two collars C and D move along the vertical rod shown. Knowing that the velocity of collar C is 33 in./s downward, determine (a) the velocity of collar D, (b) the angular
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 92.Two rods AB and BD are connected to three collars as shown. Knowing that collar A moves downward with a velocity of 6 in./s, determine at the instant shown (a) the angula
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 93.At the instant shown, the velocity of collar A is 0.4 m/s to the right and the velocity of collar B is 1 m/s to the left. Determine (a) the angular velocity of bar AD, (b
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 94.At the instant shown, the angular velocity of bar AB is 4.5 rad/s counterclockwise and the velocity of collar E is 700 mm/s to the right. Determine (a) the angular veloci
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 95.Two rods ABD and DE are connected to three collars as shown. Knowing that the angular velocity of ABD is 5 rad/s clockwise, determine at the instant shown (a) the angular
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 96.Two 20-in. rods AB and DE are connected as shown. Point D is the midpoint of rod AB, and at the instant shown rod DE is horizontal. Knowing that the velocity of point A i
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 97.Describe the space centrode and the body centrode of the gear of Sample Prob. 15.2 as the gear rolls on the stationary horizontal track.Vector Mechanics for Engineers: S
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 98.Describe the space centrode and the body centrode of rod ABD of Prob. 15.83. (Hint: The body centrode does not have to lie on a physical portion of the rod.)Vector Mecha
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 99.Using the method of Sec. 15.7, solve Prob. 15.69. Problem 15.69: An automobile travels to the right at a constant speed of 80 km/h. If the diameter of the wheel is 560 mm
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 100.Using the method of Sec. 15.7, solve Prob. 15.55. Problem 15.55: In the eccentric shown, a disk of 40-mm-radius revolves about shaft O that is located 10 mm from the cen
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 101.Using the method of Sec. 15.7, solve Prob. 15.63. Problem 15.63: In the position shown, bar AB has an angular velocity of 4 rad/s clockwise. Determine the angular veloci
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 102.Using the method of Sec. 15.7, solve Prob. 15.70. Problem 15.70: The 4-in.-radius wheel shown rolls to the left with a velocity of 45 in./s. Knowing that the distance AD
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 103.Bar BDE is attached to two links AB and CD. Knowing that at the instant shown link AB rotates with a constant angular velocity of 3 rad/s clockwise, determine the accele
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 104.Bar BDE is attached to two links AB and CD. Knowing that at the instant shown link AB rotates with a constant angular velocity of 3 rad/s clockwise, determine the accele
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 105.Collars B and D are pin-connected to bar ABD and can slide along fixed rods. At the instant shown the angular velocity of bar ABD is zero and the acceleration of point D
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 106.Collars B and D are pin-connected to bar ABD and can slide along fixed rods. At the instant shown the angular velocity of bar ABD is zero and its angular acceleration is
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 107.The acceleration of point C is 0.9 ft/s2 downward and the angular acceleration of the beam is 0.8 rad/s2 clockwise. Knowing that the angular velocity of the beam is zero
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 108.Knowing that at the instant shown the velocity of collar A is zero and its acceleration is 0.8 ft/s 2 to the left, determine (a) the angular acceleration of rod ADB, (b)
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 109.A heavy crate is being moved a short distance using three identical cylinders as rollers. Knowing that at the instant shown the crate has a velocity of 200 mm/s and an a
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 110.At the instant shown the angular velocity of the wheel is 2 rad/s 2 clockwise and its angular acceleration is 3 rad/ s counterclockwise. Knowing that the wheel rolls wit
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 111.A wheel rolls without slipping on a fixed cylinder. Knowing that at the instant shown the angular velocity of the wheel is 10 rad/s clockwise and its angular acceleratio
University of Florida - EGM - 3400
COSMOS: Complete Online Solutions Manual Organization SystemChapter 15, Problem 112.The 360-mm-radius flywheel is rigidly attached to a 30-mm-radius shaft that can roll along parallel rails. Knowing that at the instant shown the center of the shaft has