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

Q: 18-3. The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring…

A: Moment of inertia of the thin ring about the center O is written as, Moment of inertia of the…

Q: Determine the velocity of the 142-kg cylinder B after it has descended a distance of 6 m. Initially,…

A:

Q: If the 250-lb block is relcased from rest when the spring is unstretched, determine the velocity of…

A:

Q: Part A The wheel has a mass of 100 kg and a radius of gyration of ko = 0.2 m. A motor supplies a…

A:

Q: The spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the…

A: Given data: The weight of follower, w = 0.75 lb. The radius of the contoured surface, r = 0.2 ft.…

Q: Q3: The tire has a weight of 30 lb and a radius of gyration kg = 0.6 ft. If the coefficients of…

A:

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: The 110-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m.…

A:

Q: Figure 150 mm. 75 mm 1 of 1 P = 150 N ▼ Part A If the cord is subjected to a horizontal force of P =…

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Q: This is a Dynamics question. Answers:  theta = 46.9 deg

A: Drawing the free body diagram of the given system,

Q: The two disks are stuck together, the total mass of the disks is 25 Kg, and a radius of gyration ka…

A:

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: The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached…

A: According to the given information, we have the mass of the wheel is 5kg thin ring and 2 kg slender…

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: T The force of T = 30 N is applied to the bord of negligible mass. Determine the angular velocity of…

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Q: The forklift travels forward with a constant speed of 0.27 m/sec. Determine the maximum deceleration…

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Q: 200 mm 75 mm F A

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Q: 19–7. The double pulley consists of two wheels which are attached to one another and turn at the…

A:

Q: The disk has a weight of 10 lb and is pinned at its center O. If a vertical force of P = 2 lb is…

A: Draw the free-body diagram of the disc.

Q: The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block A is…

A: To determine the solution to the given question, we must do the energy balance of the system between…

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: 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: F18-5. If the uniform 30-kg slender rod starts from rest at the position shown, determine its…

A: Given Data: The length of the rod is L = 3m. The mass of the rod is m = 30 kg. The number of…

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 =…

Q: If the system starts from rest and no slipping occurs and cylinder A weighs 450 N and has a radius…

A: Given: Initially system is at rest and There is no slipping between cylinder and surface. Thus…

Q: The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the…

A:

Q: R17-3. The car has a mass of 1.50 Mg and a mass center at G. Determine the maximum acceleration it…

A: Given, Mass m = 1.5 Mg = 1500 kg g = 9.81 m/s2 Distance between G and road c = 0.4 m Perpendicular…

Q: 19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis…

A:

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: The 50 kg flywheel has a radius of gryation = 0.4 m about its shaft axis and is subject to the…

A:

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: 19–19. The double pulley consists of two wheels which are attached to one another and turn at the…

A: Write the given data:

Q: winding drum that operates the elevator. If the elevator has a mass of 900 kg, the counterweight C…

A: Given data: Torque, M = 6kN.M Mass of the elevator, mE = 900 kg Counterweight C, mC = 200 kg Mass of…

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: F17-8. The 50-kg disk is subjected to the couple moment of M = (91) N. m, where t is in seconds.…

A: Given: The couple moment is M=(9t) N-m. The mass of the disk is m=50 kg. The radius of the disc is…

Q: The homogeneous thin ring with mass m = 4.9 kg and radiusr=0.42 m rolls along the inclined surface…

A:

Q: The frame of the tandem drum roller has a weight of 4025 lb, excluding the two rollers. Each roller…

A: Given data The frame of the tandem drum roller has a weight = 4025 lb  radius of gyration about its…

Q: The spool has a mass of 200 kg and a radius of gyration of kG = 0.2 m. If the coefficients of static…

A:

Q: 18-66. The end A of the garage door AB travels along the horizontal track, and the end of member BC…

A:

Q: F17-16. The 20-kg sphere rolls down the inclined plane without slipping. Determine the angular…

A: FBD radius=0.15 m                    ∵ equilibrium eqn → ΣF=m ax                            →mg…

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: 1. The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block is…

A: Given Data  ms=50 kg mb=20 kg v=4 m/s

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: If the cord is subjected to a horizontal force of P = 146 N, and the gear is supported by a fixed…

A:

Q: At the instant shown, the spring is un-deformed. Determine the change in potential energy if the 20…

A:

Q: 200 mm 500 mm 250 mm 275 mm 400 mm A,

A: Given m=3.8kgV=1.2m/sF=500NM=25kgrG=300mm=0.3mμ=0.25

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

A: Given data: vG=5 ft/sWBody=WA=800 lbkA=3.3 ftkB=1.8 ftWfront=800 lbd=16 ft Need to determine the…

Q: The spool has a mass of 20 kg and a radius of gyration of ko = 160 mm. If the 15-kg block A is…

A: To obtain the solution to the given question, we must do the energy balance of the body from its…

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.