Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.2, Problem 6P
To determine
The angular velocity of the airplane in
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The spool has a mass of 20 kg and a radius of gyration of kO = 160 mm
If the 15-kg block A is released from rest, determine the velocity of the block when it descends 850 mm .
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.
The rod AB has a mass of 20 kg,the mass of the piston A and B are both 5kg. Piston B is attached to a spring of constant k = 1200 N/m. The spring is un-stretched when θ = 0. If the rod is released from rest whenθ = 45°
Please find÷
(1) the moment inertia of the rod AB about its mass center G
(2)The angular velocity of rod AB at θ = 0°
(3)the velocity of piston A at θ = 0°
(4) the velocity of Piston B at θ = 0°
(hint: regard the piston A, B, rod as a system, during the motion, except the spring, the weight of rod AB, the weight of pistonB also does work). g = 9.8 m/s2
Chapter 19 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - The 60-kg wheel has a radius of gyration about its...Ch. 19.2 - Prob. 2FPCh. 19.2 - Prob. 3FPCh. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - Prob. 6FPCh. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - Prob. 2P
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - Prob. 5PCh. 19.2 - Prob. 6PCh. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - Prob. 8PCh. 19.2 - Prob. 9PCh. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - The pulley has a weight of 10 lb and may be...Ch. 19.2 - Prob. 12PCh. 19.2 - Prob. 13PCh. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - Prob. 15PCh. 19.2 - Prob. 16PCh. 19.2 - Prob. 17PCh. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - Prob. 21PCh. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - Prob. 23PCh. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - Prob. 26PCh. 19.2 - Prob. 27PCh. 19.2 - Prob. 28PCh. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - Prob. 31PCh. 19.4 - Prob. 32PCh. 19.4 - Prob. 33PCh. 19.4 - Prob. 34PCh. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Prob. 41PCh. 19.4 - Prob. 42PCh. 19.4 - Prob. 43PCh. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Prob. 46PCh. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - Prob. 48PCh. 19.4 - The 20-kg disk strikes the step Without...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - Prob. 52PCh. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - Prob. 54PCh. 19.4 - Prob. 55PCh. 19.4 - Prob. 56PCh. 19.4 - Prob. 57PCh. 19.4 - Prob. 58PCh. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - Prob. 2RPCh. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - Prob. 4RPCh. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Prob. 6RPCh. 19.4 - Prob. 7RPCh. 19.4 - Prob. 8RP
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- The 30-kg turbine disk has a centroidal radius of gyration of 175 mm and is rotating clockwise at a constant rate of 60 rpm when a small blade of weight 0.5 N at point A becomes loose and is thrown off. Neglecting friction, determine the change in the angular velocity of the turbine disk after it has rotated through (a ) 90°, (b ) 270°.arrow_forwardThe wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheelsarrow_forwardThe body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slippingarrow_forward
- The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwisearrow_forward18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.arrow_forwardThe double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration kO=110mm. If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force F=2kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest. Neglect the mass of the rope.arrow_forward
- 19-26 The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.arrow_forwardThe double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 32 kg and a radius of gyration k_O = 260 mm. The men A and B have a mass of 60 kg and 70 kg, respectively. Assume they do not move relative to the rope during the motion. Neglect the mass of the rope. If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man A in 4.2 s starting from rest. vA= ??? If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man B in 4.2 s starting from rest. vB= ???arrow_forwardThe 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_forward
- 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_forwardThe thin 12 kg bar has an angular velocity in a clockwise direction ω = 1.5 rad/s when in position shown. Determine its angular acceleration and the normal reactions of the smooth surface A and B at that time. i = (1/12) M . L² for a homogeneous thin bar of mass M and length L.arrow_forwardThe spool has a mass of 200 kg and a radius of gyration of kG = 0.2 m. If the coefficients of static and kinetic friction at A are μs = 0.3 and μk = 0.2, respectively, determine the angularacceleration of the spool if P = 400 N.arrow_forward
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