18-59. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine the angular velocity of the bar when it has rotated clockwise 45° after being released. The spring has a stiffness of k = 12 N/m. 1.5 m B. 2 m www.
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: 18-47. The 40-kg wheel has a radius of gyration about its center of gravity G of kg = 250 mm. If it…
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A: Write the expression of the moment of inertia of the rod. Take moment about point O.
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A: The angular acceleration of the rod can be calculated using the formula given below as- T=Iα where,…
Q: *18-24. The 30-kg disk is originally at rest, and the spring is unstretched. A couple moment of M =…
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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…
A:
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: *18-4. A force of P = 60N is applied to the cable, which causes the 200-kg reel to turn since it is…
A: Given data: *The force applied to the cable is P=60 N. *The mass of the reel is m=200 kg. *The…
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: *19-16. The frame of a tandem drum roller has a weight of 4000 lb excluding the two rollers. Each…
A: Given Frame weight = 4000 lb Roller weight = 1500 lb Radius of gyration = 1.25 ft Rear torque = 300…
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: 19-27. The double pulley consists of two wheels which are attached to one another and turn at the…
A: given is mass of pulley (mp) = 15 kg radius of gyration of pulley (ko) = 110 mm…
Q: This is a dynamics question. Answer: w=0.0178 rad/s
A: Write the given information. Write the expression of mass moment of inertia of the airplane about…
Q: 18-46. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the…
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Q: 17-55. The 100-kg uniform crate C rests on the elevator floor where the coefficient of static…
A: Write the given data: m = 100 kgμs = 0.4r = 1.5 mW = mgW = (100 kg) (9.81 m/s2)W = 981 N
Q: 21-59. The thin rod has a mass of 0.8 kg and a total length of 150 mm. It is rotating about its…
A: Consider the diagram shown below for the given system.
Q: 19-37. Disk A has a weight of 20 lb. An inextensible cable is attached to the 10-lb weight and…
A: Given: The weight of disc A , WA = 20 lb The attached weight to the disc by cable, W= 10 lb The…
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 =…
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A: Given data Mass of drop gate, M = 1.25 Mg. Draw the free body diagram and the kinetic diagram for…
Q: 18-54 The slender 6 kg bar AB is horizontal and at rest and the spring is unstretched. Determine the…
A: Assumptions self wieight of spring is neglected Given figure length of the bar AB = 2m Free…
Q: 18-61. The 500-g rod AB rests along the smooth inner surface of a hemispherical bowl. If the rod is…
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Q: *17-88. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kg=250 mm.…
A: Given data: The mass of the pendulum is m = 100 kg. The radius of gyration is kG = 250mm (10-3 m/1…
Q: 17-78. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kG…
A: When a given system is in equilibrium, then the net external force acting on the system is equal to…
Q: 17-62. The 10-lb bar is pinned at its center O and connected to a torsional spring. The spring has a…
A: Given data Weight of the bar, W = 10 lb. Stiffness of the spring, k = 5 lb·ft/rad. Torque developed…
Q: 18-57. If the gear is released from rest, determine its angular velocity after its center of gravity…
A: Given: The weight of the gear is m = 100 lb. The descended distance is x = 4 ft. The radius of…
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: This is a Dynamics question. Answers: alpha = 14.7 rad/s2 Ax = 88.3 N…
A: Given data as per question Weight of plate = 24 kg Dimensions of the plate = 0.5 × 0.5 m
Q: 17-93. The slender 12-kg bar has a clockwise angular velocity of w = 2 rad/s when it is in the…
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Q: 17-58. The uniform 24-kg plate is released from rest at the position shown. Determine its initial…
A: The weight of the plate is as follows: W=mgW=24 kg×9.81 ms2W=235.44 N The free body diagram of the…
Q: *17-60. The bent rod has a mass of 2 kg/m. If it is released from rest in the position shown,…
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Q: 18-11. The force of T = 20 N is applied to the cord of negligible mass. Determine the angular…
A: Given: The force applied on the cord, T = 20 N The mass of the wheel, m = 20 kg The number of…
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: Specifically a dynamics problem. Question in pic below. Answer: omega = 3.75 rad/s
A: When theta is equal to 30º then the spring is in a stretched condition. At this stage, the spring…
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: 18-30. Motor M exerts a constant force of P = 750 N on the rope. If the 100-kg post is at rest when…
A: To find out the ACf and ACi ACf=42+32-2(4)(3)cos60°2=2.05mACi=32+42=5m
Q: F17-14. The 100-kg cylinder rolls without slipping on the horizontal plane. Determine the…
A: Let ∝=angular acc . acm=acc about centre of mass
Q: *18-4. A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is…
A: The horizontal force applied to cable is P=60 N. The mass of the reel is m=200 kg. The outer radius…
Q: This is a dynamics question. Answer: vB = 24.1 m/s
A: Draw the free-body diagram of block A.
Q: 18–54. If the 250-Ib block is released from rest when the spring is unstretched, determine the…
A: Given data: Weight of block = 250 lb Distance moved by the block = 5 ft…
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: 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: Specifically a dynamics problem. Question in pic below. Answer: omega = 6.11 rad/s
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Q: 18-62. The 50-lb wheel has a radius of gyration about its center of gravity G of kg = 0.7 ft. If it…
A: Given data: Mass of the wheel, m = 50 lb. The radius of gyration about the center of gravity, kG=…
Q: This is a dynamics question. Answer: t = 0.6125 s
A: Given data as per the question Mass of gear = 30 kg Radius of gyration = 125 mm Mass of gear B = 20…
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
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- The rod shown, released from rests in this position (0 = 0) and the spring is unstretched. If the body will stopped momently at e = 49 degrees, Find the work done by slender weight in joules. Given L=1.3 m, mass=20 Kg wwww B k 3L/4 L/4 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.18-2. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached to the wheel's center has a stiffness k = 2 N- m/rad, and the wheel is rotated until the torque M = 25 N •m is developed, determine the maximum angular velocity of the wheel if it is released from rest. 0.5 m м
- The 30-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.2 m. If it is subjected to the constant moment M = 62 N•m and is released from rest from the position as shown, determine the total work done to it when it has rotated 45. 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/s?. M Your Answer: Answer unitsDetermine the force P required to maintain the 200-kg engine in the position for which = 30o. The diameter of the pulley at B is * negligible ( take g=10 m/s2) 2 m B 2 m 200 kg P= 1693.7 N O P=1993.7 N P= 1893.7 N O P= 1793.7 N OThe 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 smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m. Plac41 Figure ▼ Part A If the forked rod is rotating with a constant angular velocity of A = 4 rad/s, determine the force the cam and the rod exert on the 1.8-kg roller when 0 = 30°. The attached spring has a stiffnesss k= 30 N/m and an unstretched length of 0.1 m. Express your answers in newtons using three significant figures separated by a comma. Neam, Frod = ΑΣΦ Submit Request Answer vec ? 1 of 1 NThe wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is 0 N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is 0 N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___ (two decimal places)
- The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (7) The instantaneous center of zero velocity (IC) is A. Point A B. Point O C. Point GThe wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places)The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is___ N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is___ N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…