17-83. The two-bar assembly is released from rest in the position shown. Determine the initial bending moment at the fixed joint B. Each bar has a mass m and length I.
Q: 17-39. The bar has a weight per length w and is supported by the smooth collar. If it is released…
A: Given Data: The weight per unit length of the bar is: w The angle made by the supporting bar with…
Q: 17-26. The jet aircraft has a total mass of 22 Mg and a center of mass at G. Initially at take-off…
A:
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: 18-7. The double pulley consists of two parts that are attached to one another. It has a weight of…
A: Given Mass, mA = 30 lb mB = 20 lb Radius of gyration, k…
Q: 17-70. The 100-lb uniform rod is at rest in a vertical position when the cord attached to it at B is…
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 =…
A: Write the expression of the velocity of the disc. Write the expression of the moment of inertia of…
Q: 17-59 The uniform slender rod has a mass m. If it is released from rest when = 0, determine the…
A:
Q: The100-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, m=100Kg The radius of the gyration, kG=0.250m Angular speed,…
Q: 19-54. The rod of mass m and length L is released from rest without rotating. When it falls a…
A: The motion diagram of the rod is given as, Apply work-energy theorem at positions (1) and (2), The…
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: 17-67. If the cord at B suddenly fails, determine the horizontal and vertical components of the…
A: The mass of the cord is m=120 kg. The length of the cord is L=4 m. The force acted on one side of…
Q: *19-32. The circular disk has a mass m and is suspended at A by the wire. If it receives a…
A: Here, Mass of the disc = m Radius of the disk = a Angular velocity of the disc = ω Velocity of point…
Q: 19-6. The airplane is traveling in a straight line with a speed of 300 km/h, when the engines A and…
A: Given data: The speed of the airplane is S=300 km/s. The thrust at the engine A is TA=40 kN. The…
Q: 19-17. The 100-lb wheel has a radius of gyration of kG = 0.75 ft. If the upper wire is subjected to…
A: The weight of the wheel is W=100 lb. The radius of gyration of the wheel is kG=0.75 ft. The tension…
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: 17-87. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kg=250 mm.…
A: Draw the free-body diagram of the pendulum. Draw the free-body diagram of the beam.
Q: 17-78. The 100-kg pendulum has a center of mass at G and a radius of gyration about G of kG = 250…
A: Given Data The mass of the pendulum, m=100Kg The radius of the gyration, kG=0.250m Angular speed,…
Q: 13-15. The motor lifts the 50-kg crate with an acceleration of 6 m/s?. Determine the components of…
A: Let the tension in the rope be T the free body diagram of the crate is given below T - W = m*a T =…
Q: 17-73. Cable is unwound from a spool supported on small rollers at A and B by exerting a force T=…
A: Given data: Force exerted , T = 300 N Length of unravel of cable, s = 5 m Inside radius, r = 0.8 m…
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: 13-93. If arm OA rotates with a constant clockwise angular velocity of è = 1.5 rad/s, determine the…
A:
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: 17-118. The 500-lb beam is supported at A and B when it is subjected to a force of 1000 lb as shown.…
A: Sketch the FBD for the above problem.
Q: 17-57. The 10-kg wheel has a radius of gyrationk, = 200 mm. If the wheel is subjected to a moment M…
A: given mass of wheel (m) = 10 kg radius of gyration (kA) = 200 mm = 0.2 m Moment (M) = (5t) N-m To…
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: 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: 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: 19-3. Show that if a slab is rotating about a fixed axis perpendicular to the slab and passing…
A: Given: The center of mass is at point G. In this case, linear velocity is zero as there is no…
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: 17-117. The uniform beam has a weight W.If it is originally at rest while being supported at A and B…
A: Apply the Newton law of motion just after the rope break.
Q: 17-41. The smooth 180-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a…
A: Given Length of the pipe=L=20ft W=weight of the pipe=180lb a=accerleration of truck=5ft/s2 Now…
Q: *17-56. The two uniform 4-kg bars DC and EF are fixed (welded) together at E. Determine the normal…
A: Given: The angular acceleration is α=4 rad/s2. The length of AD and BC is the same L=2 m. The…
Q: 17-61. If a horizontal force of P = 100 N is applied to the 300-kg reel of cable, determine its…
A: Given: The magnitude of the applied force is P=100 N. The mass of the reel is m=300 kg. The radius…
Q: 17-118. The 500-lb beam is supported at A and B when it is subjected to a force of 1000 lb as shown.…
A: To Find : The beam's initial angular acceleration and the force of the roller support of the beam .…
Q: 0.5 m - P 1 m
A:
Q: This is a Dynamics question. Answer: t = 6.71 s
A: Given data as per the question Force T= 300 N Mass = 600 kg Radius of gyration = 1.2 m
Q: This is a Dynamics question. Answer: FA = (3/2)*mg
A: Given data as per question Mass of rod = m considering free body diagram
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: 19-13. The slender rod has a mass m and is suspended at its end A by a cord. If the rod receives a…
A: Given Impulse applied = I Mass = m Length of the rod = l To find Location of y, about which the rod…
Q: *17-24. 6 ft- The door has a weight of 200 Ib and a center of gravity at G. Determine how far the…
A:
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: 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: *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: 17-70. The 100-lb uniform rod is at rest in a vertical position when the cord attached to it at B is…
A: We have to determine Rod's angular acceleration
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: 17-34. The trailer with its load has a mass of 150-kg and a center of mass at G. If it is subjected…
A: givenmass of trailer m=150kgcenter of mass at Ghorizontal force subjected F=600N
Q: 17-73. Cable is unwound from a spool supported on small rollers at A and B by exerting a force T =…
A:
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- 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 cord. If the vertical shaft rotates with a constant angular velocity w = 20 rad/s, determine the x, y, z components of force and moment developed at A and the tension in the cord. -1 t- -0.5 ft- |B 1 ftR17-2. The two 3-lb rods EF and HI are fixed (welded) to the link AC at E. Determine the internal axial force E,. shear force E,, and moment Mg, which the bar AC exerts on FE at E if at the instant 0 = 30° link AB has an angular velocity w = 5 rad/s and an angular acceleration a = 8 rad/s as shown. 2 ft- н 3 ft a = 8 rad/s w = 5 rad/s 2 ft 3 ft e = 30°*17-56. The two uniform 4-kg bars DC and EF are fixed (welded) together at E. Determine the normal force g, shear force VE, and moment ME, which DC exerts on EF at E if at the instant 0 = 60° BC has an angular velocity w = 2 rad/s and an angular acceleration a = 4 rad/s as shown. 1.5 m 2 m a = 4 rad/s w = 2 rad/s e = 60
- Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components ofreaction at the journal bearing C and thrust bearing D if θ = 45°. The bearings are in proper alignment and exert only force reactions on the shaft.The wom an maint ains a slow steady motion over the indicated 135° range as she exercises her triceps muscle. For this condition, the tension in the cable can be assumed to be constant at W = 10 lb. Determine and plot the moment M of the cable tension as applied at A about the elbow joint O over the range 0<0< 135°. Find the maximum value of M and the value of 0 for which it occurs: Hint: you can use the computer to draw the graph M versus 0 and sketch it on your paper. B 21" 13" 45° W 24"-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:
- 3/4 The uniform beam has a mass of 50 kg per meter of length. Determine the reactions at the supports. -2.4 m 1.2 m 300 kg |B Problem 3/4With the 260-lb cylindrical part P in its grip, the robotic arm pivots about O through the range –45° < 0 < 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 260-lb part P, the 130-lb weight of member OA (mass center at G1), and the 45-lb weight of member AB (mass center at G2). The end grip is included as a part of member AB. The lengths L1 and L2 are 2.2 ft and 1.8 ft, respectively. What is the maximum absolute value of Mo and at what value of 0 does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. L2 120° G B Questions: Ib-ft When e = -22°, Mo= When 8 = 3°, Mo = i Ib-ft Ib-ft When e = 19°, Mo= i Ib-ft at 0 = i The maximum absolute value MomaxWith the 360-lb cylindrical part Pin its grip, the robotic arm pivots about O through the range -45° ≤ 0 ≤ 45° with the angle at A locked at 120%. Determine and plot (as a function of e) the moment at O due to the combined effects of the 360-lb part P, the 100-lb weight of member OA (mass center at G₁), and the 60-lb weight of member AB (mass center at G₂). The end grip is included as a part of member AB. The lengths L₁ and L2 are 2.8 ft and 2.0 ft, respectively. What is the maximum absolute value of Mo and at what value of 0 does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. A lb-ft lb-ft lb-ft 8 77 5/2 + T G₁ To (M 120⁰ G₂ B 0 Questions: When 0 = -26°, Mo= i When 0 = 6°, Mo= i When 0 = 20°, Mo= i The maximum absolute value Momax = lb-ft at 0= i
- With the 370-lb cylindrical part P in its grip, the robotic arm pivots about O through the range -45° ≤ 0 ≤ 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 370-lb part P, the 125-lb weight of member OA (mass center at G₁), and the 45-lb weight of member AB (mass center at G₂). The end grip is included as a part of member AB. The lengths L₁ and L2 are 3.3 ft and 2.5 ft, respectively. What is the maximum absolute value of Mo and at what value of does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. LA lb-ft lb-ft lb-ft 0 2 52 120° G₂ 35 L₂ L₂ 2 B Questions: When 0-18°, Mo= i When 8 = -5°, Mo= i When 0= 19°, Mo= i The maximum absolute value Momax = H lb-ft at 0= iWith the 360-lb cylindrical part P in its grip, the robotic arm pivots about O through the range -45° ≤ 0 ≤ 45° with the angle at A locked at 120°. Determine and plot (as a function of 0) the moment at O due to the combined effects of the 360-lb part P, the 100-lb weight of member OA (mass center at G₁), and the 60-lb weight of member AB (mass center at G₂). The end grip is included as a part of member AB. The lengths L₁ and L₂ are 2.8 ft and 2.0 ft, respectively. What is the maximum absolute value of Mo and at what value of 0 does this maximum occur? The moment is positive if counterclockwise, negative if clockwise. After you have the plot, answer the questions. lb-ft lb-ft lb-ft 52 120⁰ G₂ G₁ T! L₂ L₂ B Mi Questions: When 0 = -26°, Mo= When 0 = 6°, Mo When 0 = 20°, Mo= i The maximum absolute value Momax = 1834.87 lb-ft at 0= 21.60Determine the force Fe given that point B has a constant velocity Ve= 13m/s for the mechanism The linkage is in the horizontal shown plane. Assume no friction. The mass moment of inertia of link 3 is 0.03 kgm', and the mass centre of link3 is 300mm from A. AB= 800mm, m2= 2kg, m3-1kg and ma=3kg. 60