19-31. The 10-g bullet having a velocity of 800 m/s is fired into the edge of the 5-kg disk as shown. Determine the angular velocity of the disk just after the bullet becomes embedded into its edge. Also, calculate the angle 0 the disk will swing when it stops. The disk is originally at rest. The rod AB has a mass of 3 kg. 2 m v = 800 m/s %3D 0.4 m

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…

A:

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

A:

Q: 19-31. The 10-g bullet having a velocity of 800 m/s is fired into the edge of the 5-kg disk as…

A: Given data:

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: 17-98. The spool has a mass of 100 kg and a radius of gyration kg = 0.3 m. If the coefficients of…

A: Given that: The mass of the spool is m =100 kg. The radius of gyration is KG =0.3 m. The…

Q: *18-40. An automobile tire has a mass of 7 kg and radius of gyration of kg = 0.3 m. If it is…

A: Given data: *The mass of the automobile tire is m=7 kg. *The radius of the tire is r=0.4 m. *The…

Q: 15-98. Determine the angular momentum H, of the 3-kg particle about point O. 3 kgoA 6 m/s 2 m 2 m 2…

A: Given data: *The mass of the particle at A is m=3 kg. *The velocity of the particle is v=6 m/s. The…

Q: 19-50. The 20-kg disk strikes the step without rebounding. Determine the largest angular velocity w,…

A: Given data as per question Mass of disk = 20 kg Radius of the roller = 20 mm

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

A:

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

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: *19-40. A thin rod of mass m has an angular velocity w, while rotating on a smooth surface.…

A: (a) Given: The angular velocity of the rod = ω0 rad/s The mass of rod = m kg The length of rod  = l…

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: Specifically a dynamics problem. Question in pic below. Answer: omega = 19.81 rad/s

A: The diagram of the given is showing below -

Q: 19-11. The pulley has a weight of 8 lb and may be treated as a thin disk. A cord wrapped over its…

A: Given data m=8 lbr=0.6 ftTA=4 lbTB=5 lb

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: *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: 19-57. A solid ball with a mass m is thrown on the ground such that at the instant of contact it has…

A: Given : The mass of solid ball = m  The coefficient of restitution = e   Solution : The coefficient…

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: 15-95. Determine the angular momentum H, of the 6-lb particle about point P. A 6 lb 4 ft/s 12 ft 8…

A: The position vector of the point P is The position vector of the point A is The mass of the…

Q: The 20 kg punching bag has a radius of gyration about its center of mass G of kG = 0.4 m. If it is…

A:

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: 18-21. 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: 19-49. The hammer consists of a 10-kg solid cylinder C and 6-kg uniform slender rod AB. If the…

A: Given data:

Q: This is a Dynamics question. Answers:  ax = 21.47 ft/s2,                  ay = 26.45 ft/s2,…

A: Given data as per question Mass of the beam = 150 lb considering free body diagram

Q: R19-2. The space capsule has a mass of 1200 kg and a moment of inertia lg = 900 kg - m² about an…

A: Given data:

Q: *17-60. The bent rod has a mass of 2 kg/m. If it is released from rest in the position shown,…

A: Due the symmetry the y coordinate of the centroid of the given frame will lie at the center. Write…

Q: 19-35 The 10 kg bullet having of 800­ m/s is fired into the edge of the 5 kg disk as shown.…

A: Given: the mass of the bullet, m= 10 g = 0.001 kg The mass of the disk is, M = 5 kg The speed of the…

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: *19-56. A ball having a mass of 8 kg and initial speed of v, = 0.2 m/s rolls over a 30-mm-long…

A: Given data: Moment of inertia of the ball is,

Q: 18-45. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the…

A: Take the two positions of the system into consideration θ=30° and θ=90° as shown in the figure…

Q: Specifically a dynamics problem. Question in pic below. Answer: vA = 1.40 m/s

A: Given data as per question Radius of gyration = 45 mm Mass of blocks = 2 kg Distance descended by…

Q: 15-63. The four balls each have the same mass m. If A and B are rolling forward with velocity v and…

A: From the given figure, the first collision occurs between balls B and C. Write the conservation of…

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: 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: 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: 19-30. The 10-g bullet having a velocity of 800 m/s is fired into the edge of the 5-kg disk as…

A: To find out the angular velocity  Momentum diagram Apply conservation of angular momentum…

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

A:

Q: 17-71. The reel of cable has a mass of 400 kg and a radius of gyration of ka = 0.75 m. Determine its…

A: Draw the free body diagram of the reel.

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.