B 80 mm 150 mm

Q: 125 mm B The blade of an oscillating fan and the rotor of its motor shown have a total weight of 1…

A: Given Data Mass, m=1Kg The radius of gyration, K=0.100m Width of the fan, b=0.125m N1=2000 rpm

Q: 2) A slender uniform 30 kg bar is hinged off center and swings down on a vertical plane. In the…

A: Free Body diagram for the given figure is, Consider 2 component of force on the hinge, =Nx & Ny…

Q: A uniform disk of mass m = 4 kg and radius r = 150 mm is supported by a belt ABCD that is bolted to…

A: The free body diagram of the disk is drawn below:

Q: The rotor of an electric motor has a mass of 25 kg, and it is observed that 4.2 min is required for…

A: Given Data: Mass of the rotor is M = 25 kg. The initial angular velocity of the rotor is ωi = 3600…

Q: Two circular plates, each of mass 4 kg, are rigidly connected by a rod AB of negligible mass and are…

A:

Q: An experimental Fresnel-lens solar-energy concentrator can rotate about the horizontal axis AB that…

A:

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 185-lb uniform…

A: Given data :w = 185 lbSpring constant = kT1= 0                             g= 32.2 ft/s2θ= 30°θ2 =…

Q: A driver starts his car with the door on the passenger’s side wide open ( _ θ = 0). The 100-lb door…

A: Given data: The mass of the door is; m = 100 lb. The centroidal radius of gyration of the door is; k…

Q: A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k=30…

A:

Q: A four-bladed airplane propeller has a mass of 160 kg and a radius of gyration of 800 mm. Knowing…

A: I=mk2                           where I=mass moment of inertia,m=mass and k=radius of…

Q: The steel roll shown has a mass of 1230 kg, a centroidal radius of gyration of 150 mm, and is lifted…

A:

Q: The 8-lb rod AB is attached to a collar of negligible weight at A and to a flywheel at B. The…

A:

Q: The 200-mm radius brake drum is attached to a larger flywheel that is not shown. The total mass…

A: calculated the number of revolutions executed by the flywheel before it comes to rest.

Q: Two uniform rods AB and CE, each of weight 3 lb and length 2 ft, are welded to each other at their…

A: Given data Weight of the rods AB and CE W = 3lb Length of the rod AB and CE = 2ft Angular velocity…

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform…

A: Given data Weight of door, W = 200 lb. Angular velocity at vertical position, ω = 0.6 rad/s. From…

Q: The steel roll shown has a mass of 1200 kg, has a centroidal radius of gyration of 150 mm, and is…

A: Given data m=1200 kgk=0.15 mTA=3000 N

Q: L A collar with a mass of 2 kg is rigidly attached at a distance d = 300 mm from d the end of a…

A:

Q: The 80-mm-radius gear shown has a mass of 5 kg and a centroidal radius of gyration of 60 mm. The…

A: Given: The radius of the gear is r=80 mm=0.08 m. The length of AB is L= 320 mm=0.320 m. The mass of…

Q: The 4-kg uniform slender bar BD is attached to bar AB and a wheel of negligible mass that rolls on a…

A: Apply the kinematics to the given system. Therefore,

Q: The steel roll shown has a mass of 1200 kg, a centroidal radius of gyration of 150 mm, and is lifted…

A: To find : a) the angular acceleration of the roll  b)  the acceleration of its mass centre . Given :…

Q: A 2.5-kg homogeneous disk of radius 80 mm rotates at the constant rate ω1 = 50 rad/s with respect to…

A: Given, ω1 = 50 rad/s ω2 = 12 rad/s α2 = 8 rad/s2 DC = CE = a = 150 mm = 0.15m CB = b = 120 mm =…

Q: A uniform 144-lb cube is attached to a uniform 136-lb circular shaft as shown, and a couple M with a…

A:

Q: The rotor of an electric motor has an angular velocity of 3570 rpm when the load and power are cut…

A:

Q: A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w1 = 60 rad/s. The disk…

A: Given: The mass of the disc, m = 6 lb The radius of the disc, r = 3 in The speed of the disc, w1 =…

Q: The steel roll shown has a mass of 1200 kg, a centroidal radius of gyration of 150 mm, and is lifted…

A: Given Data Mass = 1200Kg MOI, I=mk2=1200(0.150m)2=27Kgm2. radius, r=d/2=(0.100)/2=0.050m TA=3100N…

Q: 5. AS-kg uniform disk is attached to the 3-kg uniform rod BC by means of a frictionless pin AB. An…

A:

Q: A 40-kg flywheel of radius R = 0.5 m is rigidly attached to a shaft of radius r = 0.05 m that can…

A: Given m=40kgR=0.5mr=0.05mP=150Nk=0.4m

Q: The 8-kg shaft shown has a uniform cross section. Knowing that the shaft rotates at the constant…

A:

Q: An experimental Fresnel-lens solar-energy concentrator can rotate about the horizontal axis AB that…

A:

Q: A bar of mass m = 5 kg is held as shown between four disks each of mass m’ = 2 kg and radius r = 75…

A: Given: The mass of bar, m = 5 kg The mass of each disk, m' = 2 kg The radius of the disk, r = 75 mm…

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.