PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 21-kg wheel has a radius of gyration about its center O of ko =260 mm, and
radius r = 0.5 m. When the wheel is subjected to the constant force F = 247 N,
applied to the wheel's center axle at an angle = 6°, it starts rolling from rest.
Determine the wheel's angular velocity W (in rad/s) after 4.0 seconds if the wheel
has been rolling without slipping. Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal point.
Take g = 9.81 m/s².
Your Answer:
G
Answer
r
0
F
The 110-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 constant couple moment M =
63 N•m, it starts rolling from rest. Determine the wheel's angular velocity W (in
rad/s) after 6.0 seconds if the wheel 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. Take g = 9.81 m/s².
T
M
Your Answer:
Answer
The 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?.
M
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- The 250-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 = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forwardThe 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part Barrow_forwardThe disk has a mass of 100kg. If it rolls without slipping, determine its angular acceleration rad For the solution, sum moments and use kinematics. The bar shown has negligible mass. Im 300Narrow_forward
- Fast.arrow_forwardThe concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables are securely wrapped around the re- spective drums. The drums, which are fastened together and turn as a single unit about their mass center at 0, have a combined weight of 322 lb and a radius of gyration about O of 18 in. If a constant tension P = 400 lb is maintained by the power unit at A, determine the vertical acceleration of the block and the resultant force on the bearing at O. Solve using; 24" 12" P = 400 lb (a) Two free body diagrams for concrete block and drum. W = 322 lb ko = 18" (b) One system block diagram ( concrete block and drum as one system). 45° A 644 lbarrow_forwardA constant couple moment M is acted on the drum O to pull the spool C up the incline. Both drum O and spool C can be treated as uniform disk. If spool C is rolling without slipping, determine the angular acceleration of the drum and the cord force. R R (0 Marrow_forward
- The 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_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 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer Ө Farrow_forward
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