Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 18.4, Problem 15P
If it is released from rest in the position shown, determine its angular velocity when it rotates clockwise 90°.
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The rod AB moves on the indicated surface by means of wheels of negligible weight. The rod is released from its rest state from θ = 0° to θ = 30°. Find the velocities of points A and B when θ = 30°
At the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (radius of gyration = 0.5 m) rolls 2 revolutions without slipping. Note that the shown velocity vector refers to the translation of the centre of the wheel.
Choices are in image.
of
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The man stands on the platform at O and runs out toward the edge such that when he is at A, y = 5 ft, his mass center has a velocity of 2
ft/s and an acceleration of 3 ft/s², both measured relative to the platform and directed along the positive y axis. If the platform has an
angular velocity of 0.4 rd/s and angular acceleration of 0.2 rad/s² as shown in the figure below, determine the following:
Note that i, j represent the unit vectors of x and y axes, respectively.
Z
The velocity of his mass center at this instant is
The acceleration of his mass center at this instant is
00
# ft/s.
W
# ft/s².
A
Chapter 18 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - If the rod is at rest when = 0, determine its...Ch. 18.4 - Determine the angular velocity of the rod when the...Ch. 18.4 - If the wheel starts from rest and rolls Without...Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - When it is subjected to a couple moment of M = 50...Ch. 18.4 - Show that its kinetic energy can be represented a...Ch. 18.4 - If the torsional spring attached to the wheel's...Ch. 18.4 - If the torsional spring attached to the wheel's...
Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - It has a weight of 50 lb and a centroidal radius...Ch. 18.4 - It has a weight of 50 lb and a centro1dal radius...Ch. 18.4 - If it starts from rest, determine its angular...Ch. 18.4 - If the 10-kg block is released from rest,...Ch. 18.4 - Determine the angular velocity of the 20-kg wheel...Ch. 18.4 - Initially, the system is at rest. The reel has a...Ch. 18.4 - The force is always perpendicular to the rod.Ch. 18.4 - Determine the angular velocity of the rod when it...Ch. 18.4 - If it is released from rest in the position shown,...Ch. 18.4 - If the elevator has a mass of 900 kg, the...Ch. 18.4 - If the ring rolls without slipping, determine its...Ch. 18.4 - A motor supplies a torque M = (40 + 900) Nm ,...Ch. 18.4 - When empty it has a mass of 800 kg and a radius of...Ch. 18.4 - If P = 200 N and the 15-kg uniform slender rod...Ch. 18.4 - If it is released from rest, determine how far it...Ch. 18.4 - The windlass A can be considered as a 30-lb...Ch. 18.4 - If the conveyor belt is moving with a speed of Vc...Ch. 18.4 - A couple moment of M = 80 Nm is then applied to...Ch. 18.4 - A couple moment M = 80 Nm is then applied to the...Ch. 18.4 - If the plate is released from rest at = 90,...Ch. 18.4 - If the ring gear C is fixed, determine the angular...Ch. 18.4 - If the rod is released from rest when the spring...Ch. 18.4 - Determine the speed of the sptere's center of mass...Ch. 18.4 - Motor M exerts a constant force of P = 750 Non the...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - If rod CD is subjected to a couple moment M = 30...Ch. 18.4 - The gears roll within the fixed ring gear C, which...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.5 - If the 30-kg disk is released from rest when = 0...Ch. 18.5 - If it is released from rest, determine its angular...Ch. 18.5 - Determine its angular velocity when = 45.The...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine its angular velocity when = 90. The...Ch. 18.5 - If a 2-kg block is suspended from the cord,...Ch. 18.5 - Prob. 37PCh. 18.5 - If it is released from rest at A on the incline,...Ch. 18.5 - The spool has a mass of 20 kg and a radius of...Ch. 18.5 - If the 15-kg block A is released from rest,...Ch. 18.5 - If it is allowed to fall freely determine the...Ch. 18.5 - Gear A has a mass of 10kg and a radius of gyration...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - The 40-kg wheel has a radius of gyration about its...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If it has a mass of 3 kg and a rad1us of gyration...Ch. 18.5 - Lifting is done using the two springs, each of...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - The drum has a weight of 50 lb and a radius of...Ch. 18.5 - If the track in which it moves is smooth,...Ch. 18.5 - The pulley has a weight of 50 lb and a rad1us of...Ch. 18.5 - The gear has a weight of 100 lb and a radius of...Ch. 18.5 - Determine the stiffness k of the spring so that...Ch. 18.5 - The slender 6-kg bar AB is horizontal and at rest...Ch. 18.5 - If the spring has an unstretched length of 0.2 m,...Ch. 18.5 - The 500-g rod AB rests along the smooth inner...Ch. 18.5 - The 50-lb wheel has a radius of gyration about its...Ch. 18.5 - The system consists of 60-lb and 20-lb blocks A...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The end A of the garage door AB travels along the...Ch. 18.5 - The system consists of a 30-kg disk, 12-kg slender...Ch. 18.5 - The system consists of a 30-kg disk A, 12-kg...Ch. 18.5 - If it is released from rest when = 0, determine...Ch. 18.5 - If it is subjected to a torque of M = (91/2+ 1)...Ch. 18.5 - Starting from rest, the suspended 15-kg block B is...Ch. 18.5 - If it is released from rest, determine how far its...Ch. 18.5 - If the rack is originally moving downward at 2...Ch. 18.5 - The spring attached to its end always remains...Ch. 18.5 - If the disk rolls without slipping, determine the...Ch. 18.5 - At the instant the spring becomes undeformed, the...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The 32.2-lb wheel is released from rest and rolls on its hubs without slipping. Calculate the velocity v of the center O of the wheel after it has moved a distance x = 10 ft down the incline. The radius of gyration of the wheel about O is 5 in. 8" 2- 10arrow_forwardAt the instant shown, link CD rotates with an angular velocity of @, = 8 rad/s. If link CD is subjected to a couple moment of M= 650 lb- ft, determine the force developed in link AB and the angular acceleration of the links at this instant. Neglect the weight of the links and the platform. The crate weighs 100 lb and is fully secured on the platform. 1 ft 4 ft @CD = 8 rad/s M = 650 lb-ft - 3 ftarrow_forwardAt the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.arrow_forward
- The disks roll on the plane surface without slippage. The left disk rotates at 2 rad/s in the clockwise direction. Determine the angular velocity of the bar. Enter an answer in radians per second up to the second decimal place. Note that the counterclockwise direction is the positive rotation. 2 rad/s 3 ft 1 ft 1 ftarrow_forwardThe uniform 1,157-mm link AB slides up on frictionless rollers as shown below. At the instant shown, the link AB is vertical and the absolute velocity of point A is 19.9 m/s in the direction shown. Ignore the link thickness and roller diametres. For this configuration, 01=39 degrees and O2=25 degrees as shown. VA 01 A G Calculate the absolute velocity of the centre of mass at G. Give your answer in the form Z = 2 VGx + VGy in m/s where vGx is the horizontal component of the velocity vector (positive to the right) and VGy is the vertical component of the velocity vector (positive upwards). Round your final answer to two decimal places.arrow_forwardTwo wheels of negligible weight are mounted at corners 4 and B of the rectangular 50-lb plate. If the plate is released from rest at 0= 60°, determine its angular velocity at the instant just before 6 30°.arrow_forward
- A uniform plate has a weight of 50 lb. Link AB is subjected to a couple moment of M = 10 lb # ft and has a clockwise angular velocity of 2 rad>s at the instant u = 30°. Determine the force developed in link CD and the tangential component of the acceleration of the plate’s mass center at this instant. Neglect the mass of links AB and CD. PLEASE EXPLAIN THE N-T COORDINATE SYSTEM (HOW DO YOU KNOW WHICH WAY IS THE N-DIRECTION AND T-DIRECTION)arrow_forwardThe 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forward(a) Find the final speed V of the center of mass of the wheel once the wheel starts moving.arrow_forward
- The 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.arrow_forwardThe system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.15 m radius and 1.7 kg mass). If the system is released from rest when 0= 78°, when rod AB has just become horizontal, determine the angular velocity of rod AB in rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g = 9.81 m/s². Your Answer: Answerarrow_forwardThe telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m 4 0.69 m 1.315 i 1.376 Ho m/s VA rad/sarrow_forward
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