*17-68. The device acts as a pop-up barrier to prevent the passage of a vehicle. It consists of a 100-kg steel plate AC and a 200-kg counterweight solid concrete block located as shown. Determine the moment of inertia of the plate and block about the hinged axis through A. Neglect the mass of the supporting arms AB.Also, determine the initial angular acceleration of the assembly when it is released from rest at e = 45°. 0.3 m 0.5 m 0.5 m 1.25 m
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: 18-47. The 40-kg wheel has a radius of gyration about its center of gravity G of kg = 250 mm. If it…
A:
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: 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: R19-8. The space satellite has a mass of 125 kg and a moment of inertia 1 = 0.940 kg • m², excluding…
A: Given data: Mass of satellite M = 125 kg Moment of inertia Iz = 0.940 kg.m2 Mass of solar panels,…
Q: This is a dynamics problem. Answer: kO = 2.17 m
A: The radius of gyration is the square root of the ratio of moment of inertia and mass. Thus, for…
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: This is a dynamics question. Answer: v = 7.09 ft/s
A: Drawing the free body diagram of the two-wheel as shown below – Calculate the mass moment of…
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: *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: *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: *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: The two disks are stuck together, the total mass of the disks is 25 Kg, and a radius of gyration ka…
A:
Q: 21-69. The top has a mass of 90 g, a center of mass at G, and a radius of gyration k = 18 mm about…
A: Write the given data:
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: R19-3. The tire has a mass of 9 kg and a radius of gyration ko = 225 mm. If it is released from rest…
A: Given data: Mass of tire = 9 kg Radius of gyration, ko = 225 mm Time, t= 3s Draw the free body…
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: 17-6. The sphere is formed by revolving the shaded area around the x axis. Determine the moment of…
A: Draw the schematic diagram for the above system and consider a small element dx. Consider the shell…
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: 18-17. The center O of the thin ring of mass m is given an angular velocity of wo. If the ring rolls…
A: Given data as per the question Angular velocity of the ring =w0
Q: 17-10. The pendulum consists of a 4-kg circular plate and a 2-kg slender rod. Determine the radius…
A: Given Data: The mass of the slender rod is Mr = 2 kg. The mass of the circular plate is Mc = 4 kg.…
Q: If a horizontal force of P = 100 N is applied to the 300-kg reel of cable, determine its initial…
A: Horizontal force P=100 N Weight of reel of cable M=30 kgRadius of gyration ko=.6 m
Q: 19-53. The wheel has a mass of 50 kg and a radius of gyration of 125 mm about its center of mass G.…
A: Consider ω2 as the angular velocity of the wheel before the impact, ω3 as the angular velocity of…
Q: 18-61. The 500-g rod AB rests along the smooth inner surface of a hemispherical bowl. If the rod is…
A:
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: 19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis…
A:
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: 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: 18–30. Motor M exerts a constant force of P = 750 N on %3D the rope. If the 100-kg post is at rest…
A: Given Data The constant force is: P=750 N The length of the post is: 3 m The height of the table is:…
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: 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: 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: *18-56. If the chain is released from rest from the position shown, determine the angular velocity…
A: Given, Weight of pulley, Wp=50 lb Weight of chain, W=6 lb/ft (given per feet) The radius of…
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: 17-21. The pendulum consists of the 3-kg slender rod and the 5-kg thin plate. Determine the location…
A: Given that, Mass of the slender rod, mr=3 kg,Mass of the thin plate, mp=5 kg, The Center of mass is…
Q: 18-39. 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:
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: *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: 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: The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2,…
A:
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: 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: 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: *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: R19-4. The wheel having a mass of 100 kg and a radius of gyration about the z axis of k, = 300 mm,…
A: Given : The mass of wheel = 100 kg The radius of gyration = 0.3 m The radius of the wheel = 400 mm=…
Q: *18–16. A motor supplies a constant torque M = 6 kN • m to the winding drum that operates the…
A: Free body diagram of the figure,
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- 19-26 The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.18-9 The pendulum consists of a 10 kg uniform disk and a 3 kg uniform slender rod. If it is released from rest in the position shown, determine its angular from velocity when it rotates clock wise .The 150-kg pendulum has a center of mass at G and a radius of gyration about G of kG = 0.25m, as shown in Figure 2. Determine the horizontal and vertical components of reaction on thebeam by the pin A and the normal reaction of the roller B at horizontal direction when thependulum is rotating at 5 rad/s. Neglect the weight of the beam and the support. If the normalreaction of the roller B at horizontal direction change to vertical direction, determine thehorizontal and vertical components of reaction on the beam by the pin A.
- 18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.17-95 The 20 kg punching bag has a radius of gyration about its center of mass G of kG = 0.4 m. If it is initially at rest and is subjected to a horizontal force F = 30 N, determine the initial angular acceleration of the bag and the tension in the supporting cable AB.The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
- 18-54 The slender 6 kg bar AB is horizontal and at rest and the spring is unstretched. Determine the stiffness K of the spring so that the motion of the bar is momentarily stopped when it has rotated clock wise after being released.The uniform plank is initially at rest on the fixed support at A and the stationary drum at B. If the drum begins rotating slowly counterclockwise, determine how far the plank will travel before it comes to rest again. (Note: Because the drum rotates slowly, the inertia of the plank may be neglected.)The body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slipping
- Determine the mass of the R-134a.Determine the gyroscopic couple, if the ship travels at 2 km/min and steer to the right in a curve of 65 m radius.The turbine rotor of a ship has a mass of 10tonnes and a radius of gyration 1.5 m. It rotates at 38r.p.s. anticlockwise, when looking from the stern and write the reactive gyroscopic effect.The platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.