Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133975505
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 18.5, Problem 5RP
If the rack is originally moving downward at 2 m/s. when s = 0 determine the speed of the rack when s = 600 mm. The gears are free to turn about their centers A and B.
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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 semicircular bar is smooth. The unstretched length of the spring is 0.250 m. The 6-N collarat A is given a downward velocity of 4 m/s, and when it reaches B the magnitude of its velocity is 12 m/s.Determine the spring constant k.arrow_forwardQ3. If the end A of the cable is moving at VA = 5 m/s, determine the speed of block B. Solve this for the datum line shown in figure.arrow_forwardDetermine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If vA = 2.93 m/s and vC = 3.17 m/s, what is the velocity of B?arrow_forward
- 16-67 Determine the velocity of the slider block at C at the instant = 45, if link AB is rotating at 4 rad/s.arrow_forwardThe collar A slides along the rod OB, which is rotating counterclockwise.Determine the velocity vector of A when OB is vertical, given that the speedof end B is 0.4 m/s in that position.arrow_forwardIf at the instant shown the speed of the collar C is 2.0 m/s upwards, determine the speed of point A. r1= 0.289 m r2= 0.383 m r3= 0.220 m θ= 30 °arrow_forward
- The cable at A is being drawn toward the motor at vA = 8 m/s. Determine the velocity of the block.arrow_forwardThe plane is travelling with a speed of 120 m/s along the curved path, anddecreasing at 40 m/s^2 when it reaches point A (y=0). Determine the magnitude of itsacceleration at this instant. Also specify the direction of flight, measured from the x-axis.arrow_forwardThe cord, which is wrapped around the disk, is given an acceleration of a(t) =(10t) m/s 2 , where t is in seconds. Starting from rest, determine the angular displacement, angularvelocity, and angular acceleration of the disk when t = 3 s.arrow_forward
- Determine the relationship which governs the velocities of the two cylinders A and B. Express all velocities as positive down. How many degrees of freedom are present? If A moves downward at 1.63 m/s, what is the velocity of B (positive if downward, negative if upward)?arrow_forwardThe rod OA rotates in the horizontal plane such that =0.66t3 radian, and collar B is sliding outward along OA so that r=114t2 mm. If in both cases t is in seconds, determine the radial component of velocity (mm/s) of the collar when the collar is 128 mm from O. Round off only on the final answer expressed in 3 decimal places. DONT ROUND OF IN THE ENTIRE SOLUTION, ONLY IN THE FINAL ANSWERarrow_forwardThe cord, which is wrapped around the disk, is given an acceleration of a=(12t)m/s2, where t is in seconds A) Starting from rest, determine the angular displacement of the disk, measured clockwise, when t = 3 s B) Starting from rest, determine the angular velocity of the disk, measured clockwise, when t = 3 s C) Starting from rest, determine the angular acceleration of the disk, measured clockwise, when t = 3 s .arrow_forward
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