Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 18.5, Problem 54P
The drum has a weight of 50 lb and a radius of gyration of ko = 0.5 ft about 1ts center of mass O.
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The passengers, the ship and the structure have a total mass of 73 Tons, their center of mass in G, and a radius of gyration with respect to B of kB = 3.5 m. Additionally, the 3-ton steel block at point A can be considered as a point of concentrated mass. If the ship rotates freely at 9.3 rad/s when it reaches the lowest point, as shown in the figure, determine the moment of inertia of the system about pivot B (in kgm2)
The angular acceleration for the position shown (in rad/s2) is:
The vertical reaction at pivot B (in N) is:
The horizontal reaction at pivot B (in N) is:
THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C.
Please include a Free Body Diagram
The pendulum consists of two rods AB and OC, which have a mass density of 3kg/m. The thin disk has a mass of 12 kg/m2. Determine the location of the center of mass of the pendulum, calculate the mass moment of inertia about the axis perpendicular to the sheet and passing through point O. Report only the moment of inertia in terms of [kg m2].
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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