EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 19, Problem 6FP
To determine
The angular velocity
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The 200-kg spool has a radius of gyration about
its mass center of kg = 300 mm. If the couple moment is
applied to the spool and the coefficient of kinetic friction
between the spool and the ground is μ = 0.2, determine
the angular acceleration of the spool, the acceleration of G
and the tension in the cable.
0.4 m
B
0.6 m
M = 450 N-m
2) The shown spool has a mass of 450 kg and a
radius of gyration k. =1.2m. It rests on the
surface of conveyer belt for which the coefficient of
friction u = 0.5. If the conveyer accelerates
at 1.2m/ S²and the spools rolls without slipping,
determine the tension in the wire and the angular
acceleration of the spool
0.8 m
1.6 m
ac
The 10-kg wheel is rolling under the constant moment of M = 97 N-m. The wheel has radius r= 0.59 m, has mass center at point G, and
the radius of gyration is kg = 0.27 m. The coefficients of friction between the wheel and the ground is ls = 0.25 and Hk = 0.14. If the
wheel rolls while slipping, determine the magnitude of the linear acceleration of point G (in m/s2). Please pay attention: the numbers
may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?.
M
G
Chapter 19 Solutions
EBK ENGINEERING MECHANICS
Ch. 19 - The 60-kg wheel has a radius of gyration about its...Ch. 19 - Prob. 2FPCh. 19 - Prob. 3FPCh. 19 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19 - The 50-kg spool is subjected to a horizontal force...Ch. 19 - Prob. 6FPCh. 19 - The rigid body (slab) has a mass m and rotates...Ch. 19 - Prob. 2PCh. 19 - Show that if a slab is rotating about a fixed axis...Ch. 19 - Prob. 21P
Ch. 19 - The two gears A and B have weights and radii of...Ch. 19 - The 30-kg gear is subjected to a force of P =...Ch. 19 - Prob. 27PCh. 19 - The turntable T of a record player has a mass of...Ch. 19 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19 - Prob. 31PCh. 19 - Disk A has a weight of 20 lb. An inextensible...Ch. 19 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19 - A thin rod of mass m has an angular velocity o...Ch. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 44PCh. 19 - The 10-lb block is sliding on the smooth surface...Ch. 19 - Prob. 46PCh. 19 - The pendulum consists of a 15-kg solid ball and...Ch. 19 - Prob. 48PCh. 19 - The 20-kg disk strikes the step Without...Ch. 19 - The solid ball of mass m is dropped with a...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - Prob. 58PCh. 19 - The cable is subjected to a force of P = (10t2)...Ch. 19 - Prob. 2RPCh. 19 - The tire has a mass of 9 kg and a rad1us of...Ch. 19 - Prob. 4RPCh. 19 - The spool has a weight of 30 lb and a radius of...Ch. 19 - Prob. 6RPCh. 19 - Prob. 7RPCh. 19 - Prob. 8RP
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- The 214-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 94 N•m, it starts rolling from rest. Determine the average friction force that the ground applies to the wheel if it has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². M Your Answer: Answer unitsarrow_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_forwardThe 30-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.48 m, has mass center at point G, and the radius of gyration is kg = 0.24 m. The coefficients of friction between the wheel and the ground is μ = 0.39 and k=0.10. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer G 1arrow_forward
- The frame of the tandem drum roller has a weight of 4025 lb, excluding the two rollers. Each roller has a weight of 1610 lb and a radius of gyration about its center of 1.2 ft. For a short time, starting from rest, a torque of M = 300 lb ft is supplied to the rear roller. Determine the speed of the drum roller after it has moved forward 30 ft. Determine the time it took to travel the 30 ft.arrow_forwardThe pendulum has a mass of 7.2 kg, a centre of gravity at G, and a radius of gyration of 0.31 m about the fixed pin support at O. The pendulum is released from rest in the position where 0 = 43 •. What is the magnitude of the pendulum's angular acceleration (in rad/s?) at this instant? Take = OG = 0.24 m. The motion occurs in a vertical plane and friction is negligible. f = OG Garrow_forwardThe 29-kg wheel is rolling under the constant moment of M = 85 N·m. The wheel has radius r = 0.57 m, has mass center at point G, and the radius of gyration is kg = 0.25 m. The coefficients of friction between the wheel and the ground is g = 0.37 and μk = 0.16. If the wheel rolls while slipping, determine the magnitude of the linear acceleration of point G (in m/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forward
- 0.8 m The shown spool has a mass of 450 kg and a radius of gyration k, =1.2m. It rests on the surface of conveyer belt for which the coefficient of friction u =0.5. If the conveyer accelerates at1.2m / Sand the spools rolls without slipping, determine the tension in the wire and the angular acceleration of the spool - 1.6 marrow_forwardThe four-wheel-drive all-terrain vehicle has a mass of 300 kg with centre of mass G. If all four wheels (front and rear) are observed to spin momentarily as the driver attempts to go forward, vehicle reaches speed of 50 km/h after 60 m. At first determine the acceleration of this vehicle? Then if coefficient of friction between the tires and the ground is 0.40, determine the combined normal force at the pair of front tires. 805 mm 440 mm Figure 11 500 mmarrow_forwardThe 6-kg homogeneous sphere is released from rest on the ramp. If 0 = 30°, r = 0.2 m, u, = 0.4, and u, = 0.2, determine the acceleration of the center of mass G and the friction force exerted by the ramp on the sphere. ( m, ī •Garrow_forward
- The solid homogeneous cylinder, with a mass of 5 kg and a radius of r= 0.12 m, is released from rest on the incline. What is the speed of its centre of gravity G after G has travelled a distance of 2.7 m down the incline. The cylinder rolls without slipping. Take e = 38°. Garrow_forwardThe 24-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r= 0.4 m. When the wheel is subjected to the couple moment M = 90 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s?). The coefficient of kinetic friction between the wheel and the plane is Uk = 0.45. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. Marrow_forwardThe 50-lb wheel shown in Fig. 17-21a has a radius of gyration kg = 0.70 ft. If a 35-lb·ft couple moment is applied to the wheel, determine the acceleration of its mass center G. The coefficients of static and kinetic friction between the wheel and the plane at A are μs = 0.3 and μ = 0.25, respectively. G 1.25 ft A (a) M = 35 lb-ftarrow_forward
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