PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel
has radius r= 0.52 m, has mass center at point G, and the radius of gyration is kG =
%3D
0.21 m. The coefficients of friction between the wheel and the ground is ls = 0.26
and lk = 0.18. 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
G
Your Answer:
Answer
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
Answer
The 28-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has
radius r = 0.53 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 = 0.39 and
μ = 0.17. If the wheel rolls without slipping, determine the necessary static
frictional force between the wheel and the ground. Please pay attention: the
numbers may change since they are randomized. Your answer must include 2 places
after the decimal point, and proper unit. Take g = 9.81 m/s².
M
Your Answer:
Answer
G
units
1
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Similar questions
- 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 1arrow_forwardThe 17-kg wheel is rolling under the constant moment of M = 85 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.20 m. The coefficients of friction between the wheel and the ground is ls = 0.27 and Hk; = 0.22. If the wheel rolls while slipping, determine the angular acceleration of the wheel (in rad/s?). 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_forwardThe 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.28 and Uk = 0.14. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s?). 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
- The 30-kg wheel is rolling under the constant moment of M = 99 N-m. The wheel has radius r= 0.45 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.40 and Hk; = 0.12. If the wheel rolls without slipping, determine the necessary static frictional force between the wheel and the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s?. Marrow_forwardThe 75 kg wheel has a radius of gyration about its mass centreof kG=400mm. If it is subjected to a torque of M=150 N.m,determine:a. The angular acceleration of the wheel,b. The linear acceleration of the mass centrec. The created frictional force at the point of contact.The coefficient of static friction between the wheel and theground is S=0.3.Hint: Assume no slipping occurs at star, and verify I at the end.arrow_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
- The spool has a mass of 90 kg and a radius of gyration of kg = 0.3 m. Figure 250 mm -400 mm 1 of 1 Part A If the coefficients of static and kinetic friction at A are μ = 0.2 and k = 0.15, respectively, determine the angular acceleration of the spool if P = 45N. Solve this problem if the cord and force P = 45N are directed vertically upwards. (Figure 1) Express your answer with the appropriate units. α = Submit Value Provide Feedback Request Answer Units ? Next >arrow_forwardFast.arrow_forwardThe car has a mass of 1.50 Mg and a mass center at G. Power is supplied only to the rear wheels. Neglect the mass of the wheels in the calculation, and assume that the wheels that do not receive power are free to roll. Also, assume that slipping of the powered wheels occurs, where the coefficient of kinetic friction is μ = 0.32. (Figure 1) Figure B -0.4 m 1.6 m -1.3 m A Part A Determine the maximum acceleration the car can have. Express your answer to three significant figures and include the appropriate units. (ac) max = Value Submit Provide Feedback Ä Request Answer Units ? Next >arrow_forward
- 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 handcart has a mass of 200 kg and center of mass at G. Determine the largest magnitude of force P that can be applied to the handle so that the wheels at A or B continue to maintain contact with the ground. Neglect the mass of the wheels. The normal reaction at Ais The normal reaction at B is The acceleration at Gis The greatest value of Pis #KN KN B Ge -0.3m-02 m-04 m- O 0.5 m Aarrow_forwardIf a horizontal force of P = 100 N is applied to the 300-kg reel of cable, determine its initial angular acceleration. The reel rests on rollers at A and B and has a radius of gyration of ko = 0,6 m. 0.75 m Select one: O A. a = 0.588 rad/s2 O B. a = 0.694 rad/s2 OC. a = 0.789 rad/s a = 0.656 rad/s2arrow_forward
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