PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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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 m
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
The 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
G
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- The wheel has a mass of 25 kg and a radius of gyration kb = 0.15m. It is originally spinning at @=40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5, determine the time required for the motion to stop. What are the horizontal and vertical components of reaction which the pin at A exerts on AB during this time? Neglect the mass of -0.4 m AB. 0.2 m- B 0.3 m Iarrow_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 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 Garrow_forward
- The 186-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 92 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: units Answerarrow_forwardThe shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spoolarrow_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_forward
- The 20 kg roll of paper has a radius of gyration kA = 85 mm about an axis passing through pointA. It is pin supported at both ends by two brackets AB. If the roll rests against a wall for which thecoefficient of kinetic friction is μk = 0.25 and a vertical force F = 30 N is applied to the end of thepaper, determine the angular acceleration of the roll as the paper unrolls.arrow_forwardThe 28-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m. When the wheel is subjected to the couple moment M = 63 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s²). The coefficient of kinetic friction between the wheel and the plane is μ = 0.47. 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 1arrow_forwardFast.arrow_forward
- F17-17. 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 He = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. 0.4 m. 0.6 m M = 450 N-marrow_forwardThe solid homogeneous cylinder is released from rest on the ramp. Determine the magnitudes of the acceleration of the mass center G and the friction force exerted by the ramp on the cylinder. Assume r = 6.8 in., W = 9.1 lb, 0 = 47°, Ms = 0.39, Mk = 0.25. Answers: aG W F= i i Hs HR ft/sec² lbarrow_forwardThe 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_forward
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