21-31. The 4-lb rod AB is attached to the rod BC and collar A using ball-and-socket joints. If BC has a constant angular velocity of 2 rad/s, determine the kinetic energy of AB when it is in the position shown. Assume the angular velocity of AB is directed perpendicular to the axis of AB. 2 rad/s B. 3 ft ft

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: The question in the picture is a dynamics question. Hint: wAB=2.00 rad/s

A: Given data as per question Downward velocity of block c = 4 ft/s

Q: 18-53. The two 12-kg slender rods are pin connected and released from rest at the position = 60°. If…

A:

Q: Specifically a dynamics problem. Question in pic below. Answer: omega = 14.1 rad/s

A: The mass of inertia of the system is given as the Where, Irod and Iring is moment of intertia of…

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: 16-63. If the angular velocity of link AB is waR = 3 rad/s, determine the velocity of the block at C…

A:

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: *21-24. The 15-kg circular disk spins about its axle with a constant angular velocity of w = 10…

A: Angular moment (L) of the disk about its centre of mass O is, Here, IX is the moment of inertia in…

Q: 19-39. The 12-kg rod AB is pinned to the 40-kg disk. If the disk is given an angular velocity wn =…

A: Consider mD as the mass of the disk, r as the radius, l as the length of the rod, mR as the mass of…

Q: 21-27. The circular disk has a weight of 15 lb and is mounted on the shaft AB at an angle of 45°…

A: Draw the diagram of the disc.

Q: 16-54. The crate is transported on a platform which rests on rollers, each having a radius r. If the…

A: Given: The forward velocity of the platform is The radius of the rollers is r.

Q: This is a dynamics question. Hint: When the man has his arms out, the distance from the CG of his…

A: Write the expression of mass moment of inertia of the system when the arms are in the fully extended…

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: 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: R18-6. At the instant shown, the 50-lb bar rotates clockwise at 2 rad/s. The spring attached to its…

A: The diagram of the member AB is given as, The initial stretch position of the spring, The final…

Q: 21-23. Show that if the angular momentum of a body is determined with respect to an arbitrary point…

A:

Q: 21-55. The 20-kg disk is spinning on its axle at w, = 30 rad/s, while the forked rod is turning at…

A: Given Angular velocity of disk = 30 rad/s Precision angular velocity = 6 rad/s Moment of inertia of…

Q: *17-112. The circular concrete culvert rolls with an angular velocity of w = 0.5 rad/s when the man…

A: Write the expression of the mass moment of inertia of the system about its mass center. Write the…

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: *17-64. A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (46) N, where…

A: Given: The mass of the disk is m=8 kg. The radius of the disk is r=300 mm. The force applied on the…

Q: 16-31. Determine the distance the load W is lifted in t = 5 s using the hoist. The shaft of the…

A: Given data: The angular velocity of motor shaft is ω=100(4+t) rad/s. The time period is t=5 s. The…

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: 21-49. The rod assembly is supported by a ball-and-socket joint at C and a journal bearing at D,…

A: Given data: Angular velocity, ωz = 8 rad/s2 Mass of the rod per unit length = 0.75 kg/m Drawing the…

Q: 21-29. The 4-lb rod AB is attached to the 1-lb collar at A and a 2-lb link BC using ball-and-socket…

A: As there is no friction or any type of resistance , then we can apply The Law of Conservation of…

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: 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: This is a Dynamics question. Answers:  aG = 11.2 ft/s2,                  alpha = 7.45 rad/s2

A: Given data as per question Force = 30 lb Roller weight =50 lb Considering free body diagram

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

A: mw = 5 kg mr = 2 kg r = 0.5 m l = 2r = 1m k = 2 Nm / rad   Moment of Inertia about an axis…

Q: 18-49. The assembly consists of two 10-kg bars which are pin connected. If the bars are released…

A: Given: mass of the rod -10kg mass of the disk = 5kg disk rolls without slipping  to find the…

Q: This is a Dynamics question. Answers:  w = 65.6 rad/s,                  alpha = 205.3 rad/s2

A: Calculate the angle turned when the disk turned 5 revolutions,

Q: 17-93. The slender 12-kg bar has a clockwise angular velocity of w = 2 rad/s when it is in the…

A: (a) Drawing the FBD of the system, Consider the position vector of point A, G with respect to point…

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: A 30 0.4 m 1 m (B 0.5 m %3D wCD = 4 rad/s' D.

A:

Q: 18-53. The two 12-kg slender rods are pin connected and released from rest at the position 0 = 60°.…

A:

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: 16-58. If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB at…

A:

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: 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: 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: 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: This is a dynamics question. Answer: vB = 24.1 m/s

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

Q: 21-37. The 5-kg thin plate is suspended at O using a ball- and-socket joint. It is rotating with a…

A:

Q: 19-26. If the shaft is subjected to a torque of M = (15) N • m, where 1 is in seconds, determine the…

A: torque of M=15t2t=3smass of AB and BC each have mass=9kg

Q: 16-57. The wheel is rotating with an angular velocity w = 8 rad/s Determine the velocity of the…

A: Given Angular Velocity = 8 rad/s To find Velocity of collar A Position AB at angle of 0. 30 and 60

Q: 18-7. - 20 rad/s The double pulley consists of two parts that are attached to one another. It has a…

A: The mass of part A, The mass of part B, The mass of pulley,

Q: This is a dynamics question. Answer: w = 0.0906 rad/s

A: Calculating the initial moment of inertia of the system,

Q: 18-7. 20 rad/s The double pulley consists of two parts that are attached to one another. It has a…

A: