F17-14. The 100-kg cylinder rolls without slipping on the horizontal plane. Determine the acceleration of its mass center and its angular acceleration. 0.3 m P = 200 N
Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…
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Q: 19-35. The 2-kg rod ACB supports the two 4-kg disks at its ends. If both disks are given a clockwise…
A: Mass of the rod = 4 kg
Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…
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Q: F17-4. Determine the maximum acceleration of the truck without causing the assembly to move relative…
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Q: Specifically a dynamics problem. Question in pic below. Answer: omega = 14.1 rad/s
A: The mass of inertia of the system is given as the Where, Irod and Iring is moment of intertia of…
Q: 18-41. The spool has a mass of 20 kg and a radius of gyration of ko = 160 mm. If the 15-kg block A…
A: Given that: The mass of the spool m=20 kg. The radius of gyration is K0=160 mm The angular velocity…
Q: *18-40. An automobile tire has a mass of 7 kg and radius of gyration of kg = 0.3 m. If it is…
A: Given data: *The mass of the automobile tire is m=7 kg. *The radius of the tire is r=0.4 m. *The…
Q: 17-81. Determine the angular acceleration of the 25-kg diving board and the horizontal and vertical…
A: Given data: The mass of the board is: m=25 kg The maximum deflection of the spring is: x=200 mm The…
Q: 17-105. If the coefficient of static friction between the 50-lb roller and the ground is u, = 0.25,…
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Q: This is a Dynamics question. Answers: theta = 46.9 deg
A: Drawing the free body diagram of the given system,
Q: 18-58. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine…
A: Given , mass of slender bar AB , m=6 kg stiffness of the spring , k=? Initial…
Q: 19-39. The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity wn =…
A: Consider mD as the mass of the disk, r as the radius, l as the length of the rod, mR as the mass of…
Q: F19-3. If rod OA of negligible mass is subjected to the couple moment M = 9N-m, determine the…
A: Given data: *The couple moment subjected on the rod OA is M=9 Nm. *The mass of the inner gear is…
Q: F17-17. The 200-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the…
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Q: 17-103. The 15-1lb circular plate is suspended from a pin at A. If the pin is connected to a track…
A: The radius of circular plate, r is 5 ft/s2. The weight of circular plate, W is 15 lb.
Q: Specifically a dynamics problem. Question in pic below.
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Q: 21-54. The 10-kg disk turns around the shaft AB, while the shaft rotates about BC at a constant rate…
A: Given: The mass of the disk, m = 10 kg The speed of shaft BC about x-axis, ωx = 5 rad/s The length…
Q: *17-100. A force of F = 10 N is applied to the 10-kg ring as shown. If slipping does not occur,…
A: The free-body diagram pf the ring is drawn as shown in the bellow figure. mass moment of inertia is…
Q: Specifically a dynamics problem. Question in pic below. Answer: omega = 19.81 rad/s
A: The diagram of the given is showing below -
Q: *17-72. The 30-kg disk is originally spinning at w = 125 rad/s. If it is placed on the ground, for…
A: Given data ω=125 rad/secμc=0.5
Q: F18-11. The 30-kg rod is released from rest when 0 = 45°. Determine the angular velocity of the rod…
A: Given data: Mass of the rod, m = 60 kg Stiffness of the spring, k = 300 N/m Length of the rod, l =…
Q: F19-5. The 50-kg spool is subjected to a horizontal force of P = 150 N. If the spool rolls without…
A: Given: The horizontal force is P=150 N. The inner radius is Ri=0.2 m The inner radius is Ro=0.3 m…
Q: 18-58. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine…
A:
Q: *18-68. The system consists of a 30-kg disk A, 12-kg slender rod BA, and a 5-kg smooth collar A. If…
A: Given data Mass of the disc M = 30kg Mass of the slender rod m = 12kg Mass of the collar mc = 5kg…
Q: 17-75. The wheel has a mass of 25 kg and a radius of gyration kg = 0.15 m. It is originally spinning…
A: Find the moment of inertia of the wheel about the point B: I=mkB2I=25 kg0.15 m2I=0.5625 kg-m2 Draw…
Q: 17-86. The 4-kg slender rod is initially supported horizontally by a spring at B and pin at A.…
A: Given Mass, m = 4 kg Force, F = 100 N Stiffness, k = 20 N/m Find Angular acceleration…
Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…
A: Free-body diagram of the above diagram is given as, Now, use the force equilibrium in the vertical…
Q: 18-3. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring…
A: mw = 5 kg mr = 2 kg r = 0.5 m l = 2r = 1m k = 2 Nm / rad Moment of Inertia about an axis…
Q: *18-12. Determine the velocity of the 50-kg cylinder after it has descended a distance of 2 m.…
A: The moment of inertia of the reel is written as, I=mkA2=25 kg125 mm×1 m1000 mm2=0.39 kg·m2…
Q: F17-7. The 100-kg wheel has a radius of gyration about its center O of ko = 500 mm. If the wheel…
A: Given data: The mass of wheel is m = 100 kg. The radius gyration is ko = 500 mm. The time t = 3 s.…
Q: F17-8. The 50-kg disk is subjected to the couple moment of M = (91) N. m, where t is in seconds.…
A: Given: The couple moment is M=(9t) N-m. The mass of the disk is m=50 kg. The radius of the disc is…
Q: 17-119. The spool has a mass of 100 kg and a radius of gyration of kg = 200 mm about its center of…
A:
Q: 18-59. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine…
A: Given: m= 6 kg θ=45 degree k=12 N/m To determine: the angular velocity of the bar when it has…
Q: This is a Dynamics question. Answers: aG = 1.3 m/s2, alpha = 1.3 rad/s2,…
A: Given : Mass of spool = 100 kg The radius of gyration = 0.3 m The coefficient of static friction =…
Q: 19-10. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the…
A: Given: mass of the gear= 30 kg radius of gyration ko=0.125 mm mass of the rack= 20 kg P=200N initial…
Q: F18-7. If the 30-kg disk is released from rest when 0 = 0°, determine its angular velocity when e =…
A: Given Data: The mass of the disc is m = 30 kg. The radius of the disc is R = 0.3 m. Taking the…
Q: R18-3. The drum has a mass of 50 kg and a radius of gyration about the pin at O of ko = 0.23 m.…
A: Given: the mass of drum = 50 kg The mass of block B = 15 kg The coefficient of kinetic friction =…
Q: 19-23. The hoop (thin ring) has a mass of 5 kg and is released down the inclined plane such that it…
A: Apply conservation of momentum in the y-direction mvy1+∑.∫Fydt=mvy20+Nh(1)-5(9.81)tcos30°=0Nh=42.479…
Q: 18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is…
A: The mass of the disk, m = 30 kg The couple moment acting on disk, M = 80 Nm The spring stiffness, k…
Q: R19-1. The cable is subjected to a force of P = (10r) Ib. where t is in seconds. Determine the…
A: Given data: Weight of spool, w = 150 lb Radius of gyration, k = 1.25ft Cable force, p = 10t2
Q: R18–4. The spool has a mass of 60 kg and a radius of gyration of kg = 0.3 m. If it is released from…
A: Given data The mass of the spool is m=60 kg. The radius of the gyration is kG=0.3 m The radius of…
Q: 18-67. The system consists of a 30-kg disk, 12-kg slender rod BA, and a 5-kg smooth collar A. If the…
A: Given Data The mass of the disc is: md=30 kg Mass of the slender rod is: mr=12 kg The value of the…
Q: F17-15. The 20-kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel…
A: Given data as per the question Mass of wheel =20 kg The radius of gyration =300 mm Coefficient of…
Q: F18-3. The uniform 50-kg slender rod is at rest in the position shown when P = 600 N is applied.…
A: The moment of inertia of the shaft is I=ml23=50×523=416.67 kg·m2 The kinetic energy of the shaft at…
Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…
A:
Q: 17-70. The 20-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through…
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Q: *18-12. Determine the velocity of the 50-kg cylinder after it has descended a distance of 2 m.…
A: Given Mass of the cylinder, M = 50 kg Mass of the reel, m = 25 kg Find Velocity, v
Q: This is a dynamics problem. One Answer: P = 579 N
A: Mass of cart = 60 kg Action of force p passes below the mass center G tending the cart to rotate…
Q: This is a dynamics question. Answer: w = 0.0906 rad/s
A: Calculating the initial moment of inertia of the system,
Q: 17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk…
A: Make FBD for the given shapes
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- 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.The 80kg wheel has a radius of rotation with respect to its center of mass kg = 400mm. If it is subjected to a torque M = 160 N.m. Determine:a)Whether the wheel rolls with or without slipping (with or without slipping);b)its angular acceleration;c)The linear acceleration of GUses: µc = 0.2; µc = 0.15;g = 9.81m/s² and Ig = Mkg²The 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 G
- The 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?. MThe homogeneous, solid cylinder with mass m = 4.8 kg and radius r = 0.24 m rolls along the inclined surface without slipping. If the initial angular velocity is w, = 2 rad/s (counterclockwise), and after a certain time lapse the angular velocity is w2 = 2.2 rad/s (clockwise), determine the magnitude of the linear impulse due to the frictional force during this time period. Let 0 = 46°.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: Answer
- 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 μk = 0.2. Neglect the mass of the cord 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.The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.4 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. M Your Answer: AnswerThe 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 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 GThe 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.The system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.15 m radius and 1.7 kg mass). If the system is released from rest when 0= 78°, when rod AB has just become horizontal, determine the angular velocity of rod AB in rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g = 9.81 m/s². Your Answer: Answer