The100-kg pendulum has a center of mass at G and a radius of gyration about G of kg = 250 mm. Determine the horizontal and vertical components of reaction on the beam by the pin A and the normal reaction of the roller B at the instant 6 = 07 when the pendulum isrotating at @ = 4 rad/s. Neglect the weight of the beam and the support.

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

A:

Q: *17-24. The door has a weight of 200 lb and a center of gravity at G. Determine how far the door…

A: Draw the FBD for a better understanding of the problem.

Q: 19-54. The rod of mass m and length L is released from rest without rotating. When it falls a…

A: The motion diagram of the rod is given as, Apply work-energy theorem at positions (1) and (2), The…

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

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

Q: 17-75. The wheel has a mass of 25 kg and a radius of gyration kg = 0.15 m. It is originally spinning…

A: Given data as per the question Mass of wheel = 25 kg Radius of gyration = 0.15 m Considering free…

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: 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: 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: 18-55. The slender 15-kg bar is initially at rest and standing in the vertical position when the…

A: The instantaneous center would be at point C and the final position when the end A strikes D will be…

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: 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: 17-118. 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: 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: 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: *17-72. The 30-kg disk is originally spinning at w = 125 rad/s. If it is placed on the ground, for…

A: Given data ω=125 rad/secμc=0.5

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: F19-5. The 50-kg spool is subjected to a horizontal force of P = 150 N. If the spool rolls without…

A: Given: The horizontal force is P=150 N. The inner radius is Ri=0.2 m The inner radius is Ro=0.3 m…

Q: 18-58. The slender 6-kg bar AB is horizontal and at rest and the spring is unstretched. Determine…

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: R18-3. The drum has a mass of 50 kg and a radius of gyration about the pin at O of ko = 0.23 m.…

A:

Q: 17-86. The 4-kg slender rod is initially supported horizontally by a spring at B and pin at A.…

A: Given    Mass, m = 4 kg     Force, F = 100 N Stiffness, k = 20 N/m Find   Angular acceleration…

Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…

A: Free-body diagram of the above diagram is given as, Now, use the force equilibrium in the vertical…

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: *18-12. Determine the velocity of the 50-kg cylinder after it has descended a distance of 2 m.…

A: The moment of inertia of the reel is written as,   I=mkA2=25 kg125 mm×1 m1000 mm2=0.39 kg·m2…

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: 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: 17-58. The uniform 24-kg plate is released from rest at the position shown. Determine its initial…

A: The weight of the plate is as follows: W=mgW=24 kg×9.81 ms2W=235.44 N The free body diagram of the…

Q: F17-6. At the instant shown, link CD rotates with an angular velocity of w = 6 rad/s. If it is…

A: Draw the free body diagram for the link CD.

Q: 19-58. The pendulum consists of a 10-lb solid ball and 4-lb rod. If it is released from rest when 60…

A: Given data:

Q: 17-83. The two-bar assembly is released from rest in the position shown. Determine the initial…

A: Given: The mass of the bar is m. The length of the bar is l. The free-body diagram of the bar is…

Q: This is a Dynamics question. Answers:  aG = 1.3 m/s2,                  alpha = 1.3 rad/s2,…

A: Given : Mass of spool = 100 kg The radius of gyration = 0.3 m The coefficient of static friction =…

Q: *17-68. The device acts as a pop-up barrier to prevent the passage of a vehicle. It consists of a…

A: Given data as per the question weight of steel plate =100 kg weight of concrete block = 200 kg

Q: *19-12. The 40-kg roll of paper rests along the wall where the coefficient of kinetic friction is µz…

A: Write the given data with suitable variables: m=40 kgμk=0.2P=40 Nt=6 sko=80 mm=0.08 m1000 mm1 mr=120…

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: This is a dynamics problem. Answers: F = 5.96 lb,                 NB = 99 lb,                 NA =…

A: Given data as per question Weight of door = 200 lb

Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…

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:

Q: 17-34. The trailer with its load has a mass of 150-kg and a center of mass at G. If it is subjected…

A: givenmass of trailer m=150kgcenter of mass at Ghorizontal force subjected F=600N

Q: 17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk…

A: Make FBD for the given shapes

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,