PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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If the coefficient of static friction between the 50-lb roller
and the ground is p, = 0.25, determine the maximum force
P that can be applicd to the handle, so that roller rolls on the
ground without slipping. Also, find the angular acceleration
of the roller. Assume the roller to be a uniform cylinder.
15 ft
30
The 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
1
Also, calculate the maximum allowable force ? and the corresponding angular acceleration to prevent slipping of the spool.
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Similar questions
- The 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_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_forward0.8 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_forward
- The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μkμk = 0.2. Neglect the mass of the Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.arrow_forwardThe 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 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-marrow_forward
- The 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_forwardThe 19-kg wheel is rolling under the constant moment of M = 86 N.m. The wheel has radius r = 0.41 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 = 0.38 and Mk= = 0.13. If the wheel rolls while 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 Garrow_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 system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. Determine the angular acceleration of the cylinder and the minimum coefficient µs of friction for which the cylinder will not slip.arrow_forwardThe 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is k 0.2. = B 125 mm 45°arrow_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_forward
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