21-55. The 20-kg disk is spinning on its axle at w, = 30 rad/s, while the forked rod is turning at w, = 6 rad/s. Determine the x and z moment components the axle exerts on the disk during the motion. 200 mm w, = 30 rad/s w, = 6 rad/s
Q: 17-63. The 10-lb bar is pinned at its center O and connected to a torsional spring. The spring has a…
A: Write the expression of the moment of inertia of the rod. Take moment about point O.
Q: 19-6. The airplane is truveling in a straight line with a speed of 300 km/h, when the engines A and…
A:
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: *18-8. The double pulley consists of two parts that are attached to one another. It has a weight of…
A: Given Data: The weight of the pulley be WP = 50 lbs The radius of gyration of the pulley is K = 0.6…
Q: Specifically a dynamics problem. Question in pic below. Answer: vA = 1.29 m/s
A: Given data as per question Mass of spool = 50 kg Radius of gyration = 0.280 m Mass of block = 20 kg…
Q: *18-52. The two 12-kg slender rods are pin connected and released from rest at the position 6 = 60°.…
A: Write the given data: Understand the following diagram for the initial and final position of 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: *18-44. Determine the speed of the 50-kg cylinder after it has descended a distance of 2 m, starting…
A: Write the expression of the moment of inertia of gear A. Write the expression of the moment of…
Q: 21-62. The gyroscope consists of a uniform 450-g disk D which is attached to the axle AB of…
A: Gyroscopic couple balance the moment due to weight of disc Gyroscopic couple is given by Where I is…
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: 21-23. Show that if the angular momentum of a body is determined with respect to an arbitrary point…
A:
Q: 21-45. If the shaft AB is rotating with a constant angular velocity of w = 30 rad/s, determine the…
A: Given data: Constant angular velocity, ω = 30 rad/s Weight of the disc, W = 15 lb. Radius of the…
Q: *19-44. The pendulum consists of a slender 2-kg rod AB and 5-kg disk. It is released from rest…
A: Consider v1 as the initial velocity of the pendulum, d as the distance between point S and point A.…
Q: *19-40. A thin rod of mass m has an angular velocity w, while rotating on a smooth surface.…
A: (a) Given: The angular velocity of the rod = ω0 rad/s The mass of rod = m kg The length of rod = l…
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: Specifically a dynamics problem. Question in pic below. Answer: omega = 19.81 rad/s
A: The diagram of the given is showing below -
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: 19-11. The pulley has a weight of 8 lb and may be treated as a thin disk. A cord wrapped over its…
A: Given data m=8 lbr=0.6 ftTA=4 lbTB=5 lb
Q: 21-39. Determine the angular momentum H, of the 7-kg disk and 1.5-kg rod when the assembly is…
A: Given: The mass of disk is md = 7 kg The mass of the rod is mr = 1.5 kg The rotational speed of the…
Q: 17-46. The drop gate at the end of the trailer has a mass of 1.25 Mg and mass center at G. If it is…
A: Given data Mass of drop gate, M = 1.25 Mg. Draw the free body diagram and the kinetic diagram for…
Q: 17-82. The lightweight turbine consists of a rotor which is powered from a torque applied at its…
A:
Q: 17-82. The lightweight turbine consists of a rotor which is powered from a torque applied at its…
A: Given Data: Angular velocity of rotor is ω = 15 rad/s. Angular velocity of rotor is α = 8 rad/s2.…
Q: 19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis…
A:
Q: 21-53. Two uniform rods, each having a weight of 10 lb, are pin connected to the edge of a rotating…
A: Given, Weight of each rod = 10 lb Angular velocity of ωd = 4 rad/s
Q: 21-38. Determine the kinetic energy of the 7-kg disk and 1.5-kg rod when the assembly is rotating…
A: When there is symmetry about axis then the Product of moment of inertia become zero. Given, Mass of…
Q: The double pulley consists of two wheels which are attached to one another and turn at the same…
A: The angular velocity of the C can be expressed as, The velocity of the mass A can be calculated as,
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: *18-12. 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: 19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis…
A: Write the expression for the angular momentum about point O.
Q: 21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the…
A: Given data The mass of the satellite is m=1.8 Mg=1800 kg The axial radii of gyration is kz=0.8 m The…
Q: 15-141. The rope has a mass m' per unit length. If the end length y =h is draped off the edge of the…
A:
Q: *17-60. The bent rod has a mass of 2 kg/m. If it is released from rest in the position shown,…
A: Due the symmetry the y coordinate of the centroid of the given frame will lie at the center. Write…
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: 21-25. The large gear has a mass of 5 kg and a radius of gyration of k, = 75 mm. Gears B and C each…
A: Given: The mass of gear A is m=5 kg. The radius of gyration for gear A is kz=75 mm=0.075 m. The…
Q: *21-76. The football has a mass of 450 g and radii of gyration about its axis of symmetry (z axis)…
A: The mass of football is m=450 g. The radius of the gyration of football about the z-axis is kz=30…
Q: 17-85. The bar has a weight per length of w. If it is rotating in the vertical plane at a constant…
A: We have here∑Fy=mrω2herer=L-x2f=mg=wxsomg=wxm=wxgconsidering vertical forcesF-wxcos…
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: 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: 21-57. The blades of a wind turbine spin about the shaft S with a constant angular speed of w, while…
A: Attach the rotating frame x,y,z to the blade; The blade rotates with an angular…
Q: Specifically a dynamics problem. Question in pic below. Answer: omega = 20.35 rad/s
A: Write the expression of the kinetic energy of weight A. Write the expression of the kinetic energy…
Q: 21-26. The circular disk has a weight of 15 lb and is mounted on the shaft AB at an angle of 45°…
A: The weight of the circular disc is W=15 lb. The angle between circular disc and shaft is θ=45°. The…
Q: 19-21. The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped…
A: mass of spool (m)=13.6078 kg ;weight of spool (W)=133.447 N ;load or force( P)=5 lb= 22.241 N…
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: 18-9. The disk, which has a mass of 20 kg, is subjected to the couple moment of M = (20 + 4) N• m,…
A: Given data: Mass of the disk, m = 20 kg. Moment acting on the disk, M = (2Ɵ+4) N·m. The radius of…
Q: *18-64. The door is made from one piece, whose ends move along the horizontal and vertical tracks.…
A: Given: θ=0° m= 180 lb l= 8 ft The door is released from this position To determine: the speed
Q: *21-44. The uniform plate has a mass of m = 2 kg and is given a rotation of w = 4 rad/s about its…
A: Given, Mass of rectangular plate, Angular velocity of the plate, Breadth of the rectangular plate,…
Q: 21-50. The bent uniform rod ACD has a weight of 5 lb/ft and is supported at A by a pin and at B by a…
A: givenweight of uniform bar ACD w=5lb/ftconstant angular velocity ω=20rad/s
Q: 18-38. The spool has a mass of 50 kg and a radius of gyration of ko = 0.280 m. If the 20-kg block A…
A: Given Mass, M = 50 kg m = 20kg Angular velocity = 5 rad/s Find…
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- 21-59. The thin rod has a mass of 0.8 kg and a total length of 150 mm. It is rotating about its midpoint at a constant rate é = 6 rad/s, while the table to which its axle A is fastened is rotating at 2 rad/s. Determine the x, y, z moment components which the axle exerts on the rod when the rod is in any position 0. 2 rad/sQ-4) The rod, having a weight of 16N and a length of 2.5m, contains a joint at O which is 0.5m distant from point B. The other end of the rod is attached to a 2,5 m- 0,5 m spring that is compressed by 4cm A with Ks= 250N/cm. At this moment the rod is horizontal. When released; calculate it's angular velocity (passing by the vertical position) and reaction forces at the joint 0.3. The pendulum consists of a 10-kg uniform disk and a 3-kg uniform slender rod. Determine the kinetic energy at this instant if the pendulum has an angular velocity of 5 rad/s clockwise. B 0.8 m *M = 30 N ·m -2 m-
- The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. 500g A uui 00t 00 mmThe cylinder has a mass of 30 kg and is mounted on an axle that is supported by bearings at A and B. If the axle is turning at 40 rad/s (direction see figure) determine the vertical components of force acting at the bearings at this instantWhen the angle θ = 90 °, the cylinder BE starts with a vertical force (F = 3210 N) Newtons on the platform. Also, the box (box) is 200 kg and the angular velocity (ω) of body AB is 9 (rad / s). First, treat the box and platform as a single body to find the following: The magnitude of the reaction forces at points B and D. Box aG acceleration in the x and y direction. Second, having progressed earlier, only found the following for the platform: Reaction force from the box on the platform. Minimum symbol minimum A request of the consonant (μs) to disallow the box.
- The weight of the spring held follower AB is 0.381 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in Ib, at the end A of the follower where e = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. z = 0.1 sin 20 0.2 ft e = 6 rad/s A k = 12 lb/ftThe spring-held follower AB has a mass of 0.5 kg and moves back andforth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z =(0.02 cos 2θ) m. If the cam is rotating at a constant rate of 30 rad/s, determine theforce component Fz at the end A of the follower when θ = 30°. The spring isuncompressed when θ = 90°. Neglect friction at the bearing C.For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.18 m, and the material has a mass per unit area of 12 kg/m². If at the instant shown, it is subjected to a force P = 30 N, and has a counterclockwise angular velocity of W = 4.2 rad/s, determine magnitude of the support reaction at point O at this instant. 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. R @ Your Answer: Answer units P
- For the circular thin plate with a square hole as shown in the image below, its radius R = 0.48 m and the side of the square /= 0.21 m, and the material has a mass per unit area of 12 kg/m2. If at the instant shown, it is subjected to a force P = 38 N, and has a counterclockwise angular velocity of W = 2.6 rad/s, determine magnitude of the support reaction at point O at this instant. 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?. R PThe wheel and attached spool have a combined weight of 50 lb and a radius of gyration about its center of kA = 6 in. If pulley B mounted on the engine is subjected to a torque M = 62.5 lb.ft, determine the total work exerted on the system if the pulley has made 9 revolutions. Shipping weight is 280 lbs. 3 in. M 3 in. M 7.5 in. 7.5 in. 4.5 in. 4.5 in.The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. B 500g 400 mm 400 mm