PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Question
Chapter 16, Problem 77P
To determine
The angular velocity of the planet gears
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(Three-Dimensional Motion)
The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC,which in turn rotates about the terminal axis at O. At the instant shown, theangular velocity of the shaft OC is 10j rad/sec, and gear A is stationary. Deter-mine the angular velocity of gear B, and the velocity of a point D at the top ofgear B.
Original Question:
The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC,which in turn rotates about the terminal axis at O. At the instant shown, theangular velocity of the shaft OC is 10j rad/sec, and gear A is stationary. Deter-mine the angular velocity of gear B, and the velocity of a point D at the top ofgear B
QUESTION THAT NEEDS TO BE ANSWERED:
For the bevel gear system shown in problem above, determine the angular accelera-tion of gear B when gear A is stationary and member OC has an angular velocityof 10j rad/sec and and angular acceleration of 25j rad/sec2
A follower plate B holds a pair of 26-tooth planet gears C against a 20-tooth sun gear A. Each planet
gear is meshed with both the fixed sun gear and a moving ring gear with 71 teeth.
If the planetary follower plate is rotating at wp = 6 rad/s, find the angular velocities of the planet
and ring gears.
a. Each planet gear rotates at wp =
rad/s
b. The ring gear rotates at WR =
rad/s
(round your answer to 3 significant figures)
Chapter 16 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 16 - When the gear rotates 20 revolutions, it achieves...Ch. 16 - The flywheel rotates with an angular velocity of ...Ch. 16 - The flywheel rotates with an angular velocity of (...Ch. 16 - The bucket is hoisted by the rope that wraps...Ch. 16 - A wheel has an angular acceleration of = (0.5 )...Ch. 16 - For a short period of time, the motor turns gear A...Ch. 16 - Prob. 1PCh. 16 - The angular acceleration of the disk is defined by...Ch. 16 - The disk is originally rotating at 0 = 12 rad/s....Ch. 16 - Prob. 4P
Ch. 16 - The disk is driven by a motor such that the...Ch. 16 - A wheel has an initial clockwise angular velocity...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts at o = 1 rad/s when = 0, and is...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - If the motor turns gear A with an angular...Ch. 16 - Prob. 23PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - At the instant shown, gear A is rotating with a...Ch. 16 - Determine the distance the load W is lifted in t =...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - The rod assembly is supported by ball-and-socket...Ch. 16 - Determine the velocity and acceleration of the...Ch. 16 - Prob. 54PCh. 16 - If roller A moves to the right with a constant...Ch. 16 - Prob. 8FPCh. 16 - Determine the angular velocity of the spool. The...Ch. 16 - If crank OA rotates with an angular velocity of =...Ch. 16 - Prob. 11FPCh. 16 - Prob. 12FPCh. 16 - At the instant shown the boomerang has an angular...Ch. 16 - The link AB has an angular velocity of 3 rad/s....Ch. 16 - The slider block C moves at 8 m/s down the...Ch. 16 - Determine the angular velocity of links AB and BC...Ch. 16 - The pinion gear A rolls on the fixed gear rack B...Ch. 16 - The pinion gear rolls on the gear racks. If B is...Ch. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 77PCh. 16 - Prob. 13FPCh. 16 - Prob. 14FPCh. 16 - If the center O of the wheel is moving with a...Ch. 16 - If cable AB is unwound with a speed of 3 m/s, and...Ch. 16 - Prob. 17FPCh. 16 - Determine the angular velocity of links BC and CD...Ch. 16 - Prob. 81PCh. 16 - The conveyor belt is moving to the right at v = 8...Ch. 16 - The conveyor belt is moving to the right at v = 12...Ch. 16 - Prob. 92PCh. 16 - Prob. 93PCh. 16 - As the car travels forward at 80 ft/s on a wet...Ch. 16 - The crankshaft AB rotates at AB = 50 rad/s about...Ch. 16 - At the instant shown, end A of the rod has the...Ch. 16 - Prob. 20FPCh. 16 - The gear rolls on the fixed rack B. At the instant...Ch. 16 - At the instant shown, cable AB has a velocity of 3...Ch. 16 - At the instant shown, the wheel rotates with an...Ch. 16 - At the instant shown, wheel A rotates with an...Ch. 16 - At a given instant the bottom A of the ladder has...Ch. 16 - At a given instant the top B of the ladder has an...Ch. 16 - At a given instant the roller A on the bar has the...Ch. 16 - The rod is confined to move along the path due to...Ch. 16 - At a given instant the slider block A is moving to...Ch. 16 - Determine the angular acceleration of link CD if...Ch. 16 - The disk rolls without slipping such that it has...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - Water leaves the impeller of the centrifugal pump...Ch. 16 - Prob. 134PCh. 16 - Prob. 135PCh. 16 - Rod AB rotates counterclockwise with a constant...Ch. 16 - Prob. 137PCh. 16 - At the instant shown rod AB has an angular...Ch. 16 - Peg B on the gear slides freely along the slot in...Ch. 16 - Prob. 144PCh. 16 - A ride in an amusement park consists of a rotating...Ch. 16 - Prob. 146PCh. 16 - If the slider block C is fixed to the disk that...Ch. 16 - Prob. 1RPCh. 16 - Starting at (A)0 = 3 nad/s, when = 0, s = 0,...Ch. 16 - Prob. 3RPCh. 16 - Prob. 4RPCh. 16 - Prob. 5RPCh. 16 - At the instant shown, link AB has an angular...Ch. 16 - Prob. 7RPCh. 16 - At the given instant member AB has the angular...
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- $16-77 16-77. The planetary gear system is used in an automatic transmission for an automobile. By locking or releasing certain gears, it has the advantage of operating the car at different speeds. Consider the case where the ring gear R is held fixed, wR = 0, and the sun gear S is rotating at @R @s = 5 rad/s. Determine the angular velocity of each of the planet gears P and shaft A. WR R 20.000 32 C ws 40 mm st 80 mm 40 mm Prob. 16-77 Aarrow_forwardProblem (3) radius r = 70 mm and is attached to block B as shown. If the angular velocity of gear D is 20 rpm A straight rack rests on a gear of A counterclockwise when 0 = 20°, determine: (a) The velocity of block B (b) The angular velocity of rack AB Solve the problem one time using the relative velocity equation and another time using the Instantaneous Center (IC) method. You should get the same answers.arrow_forwardIn the four-bar mechanism below, link 2 is rotating CCW at the rate of 4 rad/s (constant). In the position shown, link 2 is horizontal and link 4 is vertical. Determine the angular velocity of links 3 and 4. 1.0 in В 2 0.75 in 3 Link lengths: AB = 1.25 in, BC = 2.5 inarrow_forward
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