Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 18.4, Problem 26P
If the plate is released from rest at θ = 90°, determine its angular velocity at the instant just before θ = 0°.
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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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- The disk, which has a mass of 40 kg, is subjected to the couple moment of M = (2θ + 6) N m, where θ is in radians. If it starts from rest, determine its angular velocity when it has made two and a half revolutions.arrow_forward*16-84. The conveyor belt is moving to the right at v = 8 ft/s, and at the same instant the cylinder is rolling counterclockwise at w = 2 rad/s without slipping. Determine the velocities of the cylinder's center C and point B at this instant. B. 1ftarrow_forwardA 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_forward
- At 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 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.arrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 560 N-m, determine the magnitude of the angular acceleration (rad/s2) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s2. 0.1 m 0.6 m В A 0.4 m G 0.4 m C M Your Answer: Answer 3arrow_forward
- the disc rolls without slipping and at a given instant, its velocity and angular acceleration is as shown. Pin A is fixed to the disc. determine the reaction at pin A The exercise is shown in the attached imagearrow_forwardGiven: The 30 kg rod is released from rest when 0 = 0°. The spring is unstretched when = 0°. Find: The angular velocity of the rod when 0 = 30°. 1.5 m 2 m k=80 N/marrow_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 30 kg rod is released from rest when theta =0°. The spring is unstretched when theta = 0°. Find the angular velocity of the rod when theta = 30° and length of stretched spring is 1 m.arrow_forwardThe 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends. If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.arrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 300 N·m, determine the magnitude of the angular acceleration (rad/s²) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to O.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.4 m 0.4 m G Your Answer: Answer B 0.6 m ω A M Carrow_forward
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