18-21. If corner A of the 60-kg plate is subjected to a vertical force of P = 500 N, and the plate is released from rest when 0=0°, determine the angular velocity of the plate when 0 = 45°.

Q: 6/50 The right-angle plate is formed from a flat plate having a mass p per unit area and is welded…

A: Here we will apply the equilibrium conditions to solve the problem.

Q: F19-1. The 60-kg wheel has a radius of gyration about its center O of ko = 300 mm. If it is…

A: Given Data: The mass of the wheel is m = 60 kg. The radius of gyration of the wheel is ko = 300 mm.…

Q: 18-50. The pavement compactor is traveling down the incline at VG = 5 ft/s when the motor is…

A:

Q: 18-47. The 40-kg wheel has a radius of gyration about its center of gravity G of kg = 250 mm. If it…

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: *18-24. 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: 18-45. 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: gear is supported by a fixed pin at O, determine the angular velocity of the gear and the velocity…

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Q: The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos θ + 0.3) m. The…

A:

Q: 17-31. A car having a weight of 4000 lb begins to skid and turn with the brakes applied to all four…

A: Given data: The weight of the car is, W=4000 lb The coefficient of kinetic friction is, μk=0.8 The…

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: 17-77. Disk D turns with a constant clockwise angular velocity of 30 rad/s. Disk E has a weight of…

A: Draw the FBD for a better understanding of the problem. Write the equilibrium condition,

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: 17-77. Disk D turns with a constant clockwise angular velocity of 30 rad/s. Disk E has a weight of…

A: Given Data: The angular velocity of disc D is ω = 30 rad/s. The radius of disc D and disc E is r =…

Q: 18-5. A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is…

A: The data given is, Force applied on cable, P = 20 kN Mass of the reel, MG = 175 kg The radius of…

Q: The 4-kg bar is released from rest in the horizontal position 1 and falls to position 2. The…

A: Write the given data with suitable variables.

Q: 18-46. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the…

A:

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: F18-6. The 20-kg wheel has a radius of gyration about its center G of kg = 300 mm. When it is…

A: This problem belongs to the Kinetics of rigid bodies, and we will solve this problem using…

Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…

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: 17-55. The 100-kg uniform crate C rests on the elevator floor where the coefficient of static…

A: Given data as per the question Mass of crate =100 kg coefficient of friction =0.40

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: 17-55. 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: 19-42. The vertical shaft is rotating with an angular velocity of 3 rad/s when 0 = 0°. If a force F…

A: Consider the situation of the system which rotating about the z axis when the angle θ = 0o.

Q: 18-61. The 500-g rod AB rests along the smooth inner surface of a hemispherical bowl. If the rod is…

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: *17-52. The 50-kg uniform crate rests on the platform for 0.5. If the which the coefficient of…

A:

Q: *19-24. The 30-kg gear is subjected to a force of P = (201) N, where t is in seconds. Determine the…

A: Given data m=30 kgP=20t N

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: 18-21. A yo-yo has a weight of 0.3 Ib and a radius of gyration of ko = 0.06 ft. If it is released…

A: Given: The angular velocity,ω=70 rad/s The radius of gyration,k0=0.06 ft The weight of yo-yo,W=0.3…

Q: F18-2. The uniform 50-lb slender rod is subjected to a couple moment of M = 100 lb - ft. If the rod…

A: Given data: Weight of uniform beam, W = 50 lb. Couple moment acting on the beam, M = 100 lb·ft.…

Q: F13–16. The 0.2-kg pin P is constrained to move in the smooth curved slot, which is defined by the…

A: Given data: It is also given that the motion is in the vertical plane. Consider the diagram shown…

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: A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is…

A: Given P = 20 N Reel mass = 175 kg kG = 0.42 m To find Angular velocity of reel

Q: *18-16. A motor supplies a constant torque M = 6 kN •m to the winding drum that operates the…

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: The 200-kg spool has a radius of gyration about kG its mass center of kg = 300 mm. If the couple…

A:

Q: If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved…

A:

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: The spool has a mass of 500 kg and a radius of gyration kg = 1.30 m. It rests on the surface of a…

A: given: M = 500 kg k G = 1.3 m

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: 18-67. 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: 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: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…

A:

Q: *19-8. The assembly weighs 10 lb and has a radius of gyration kg = 0.6 ft about its center of mass…

A: