EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 16, Problem 20FP
To determine
The acceleration of point
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Bar OC rotates with a clockwise angular velocity woc = 2.9 rad/s and a counterclockwise angular acceleration đoc = 1.5 rad/s². The bar
OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular
acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise.
Assume OA = 415 mm, d = 320 mm, e = 37°.
A
B
d
aoc
Answers:
rad/s
W =
4.71
i
-34.6
rad/s?
The
two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block
ao = 5.2 m/s². If Ò = 0 and 0 = 4.2 rad/s² when 0 = 0, find the magnitude of the acceleration of the tip A of the blade for this
instant.
770
A
mm
ao
The disk has an angular velocity of 8 rad/s and is increasing at the rate of 5 rad/s' about its Z- axis and the yoke AB
has a constant angular velocity w = 3 rad/s about its shaft as shown. Simultaneously the entire assembly revolves
about the fixed X-axis with constant velocity o, = 5 rad/s. Determine the velocity and acceleration of point F on the
disc for an instant shown in the figure. Also find angular velocity and angular acceleration of the disc.
20 cm
15.
30 cm
30 cm
30 cm N
20 cm
Chapter 16 Solutions
EBK ENGINEERING MECHANICS
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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- The shaft of the wheel unit rolls without slipping on the fixed horizontal surface. If the velocity and acceleration of point O are 3 ft/sec to the right and 4 ft/sec2 to the left, respectively, determine the accelerations of points A and D.arrow_forwardBar OC rotates with a clockwise angular velocity woc = 2.9 rad/s and a counterclockwise angular acceleration doc = 1.5 rad/s². The bar OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise. Assume OA = 415 mm, d = 320 mm, 0 = 37°. A B d aoc Answers: i rad/s W = rad/s?arrow_forwardGears A and B are fixed, while gears C and D are free to rotate about the shaft S. If the shaft turns about the z axis at a constant rate of w = 5 rad/s, determine the angular acceleration of gear C. 80 mm- 40 mm 80 mm Fl60 mmg Select one: O a. a = 40i rad/s? O b. a = 67i rad/s? O c. a = 32i rad/s? %3! O d. a = 76i rad/s² %3Darrow_forward
- 4. If the motor turns gear A with an angular acceleration of a = 2 rad/s when the angular velocity is wa = 25 rad/s, determine the angular acceleration and angular velocity of gear D. Note that Gear Band Gear C are attached, so rotate with the same w and a. B -100 mm C 50 mm D WA 40 mm 100 mmarrow_forwardThe disk rotates with the angular motion shown. Determine the angular velocity and angular acceleration of the slotted link AC at this instant. The peg at B is fixed to the disk. w = 6 rad/s a = 10 rad/s² A 30° 0.3 m 0.75 m 30° Barrow_forwardb) Find the angular velocity and angular acceleration of disc B shown below, which is spinningatthe constant rate of ω2 = 90/πrpm. The disc is attached to collar A, which is rotating at the angular speed of ω1 = 5/π rpm, with the angular speed increasing at 0.5/π rpm/sec. Rod AB which connects the disc to the collar ispinned to the collar at A. The rod makes an angle of θ = 300 with the vertical, which is increasing at a constant rate of20/π0/sec.Express theAngularvelocityAcceleration of the disc in terms of a reference frame attached to thecollar.arrow_forward
- The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures. @ = 6 rad/s a = 12 rad/s² 3 in. 2 in. 60° B 8 in. Aarrow_forwardAt a given instant the wheel of radius r = 0.8 m is rotating with angular velocity w = 3 rad/s and angular acceleration a = 2 rad/s. The angles shown are OA = 66° and OB = 45°. The distance daB = 0.81 m Determine the angular velocity of link AB and the acceleration of block B at this instant. OB B daB r ω, αarrow_forwardThe center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 5.0 m/s², v = 3.0 m/s, b = 0.2 m, 0 = 45% a Answers: A VA= (i ag= (i b B b V i+i ¡+ i L--x j) m/s j) m/s²arrow_forward
- Bar OC rotates with a clockwise angular velocity woc = 5.3 rad/s and a counterclockwise angular acceleration doc = 4.6 rad/s². The bar OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise. Assume OA = 500 mm, d = 385 mm, 0 = 21°. Answers: W = B a = i i d aoc rad/s rad/s² @ocarrow_forwardAt the instant shown, wheel makes a rotary motion with an angular velocity of w = 12 rad/s and an angular acceleration equal to α = 6 rad / s ^ 2. Determine the angular acceleration of link BC and the acceleration of the piston . C right now.arrow_forwardAt the instant represented, the disk rolls without slipping with an angular velocity of 2 rad/s clockwise which changes at the rate of 2 rad/s^2 counterclockwise. Determine the corresponding angular acceleration of links AB and BD. At the instant considered, point A is directly above point O.arrow_forward
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