QUESTION 3: A mass m=(2A+3)kg in Fig. 3 is attached on top of a straight rigid bar that is hinged at point O. Neglecting the weight of the rigid body, determine the period of the small vibra- mass. k = (A/10+0.2)kN/m, k, =(A/5+1)kN/m, k, = (A/10+0.5)kN/m, tions of the ki, =(A/5+1)kN/m, L=(A/5+1)m, a=0.6L.
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- The shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane A (b) The distance of the plane E from plane A (c) The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution.A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. USING THE METHOD OF DRAWING m*r and m*r*l diagram Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible…
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- Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine the magnitude of the masses and their respective angular positions.From the following diagram find with k1=20N/m, k2=30 N/m, k3=25 N/m, k4=35 N/m, k5=50N/m and k6=60N/m, m=10kg A) the equivalent spring B) the displacement C) the work performedThe beam, uniform in mass, M = 47.6 kg and length L = 10.2 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 24.3 kg is hanging. The beam is making an angle of θ = 30.9° at point A with respect to the + x-axis. The cable makes an angle φ = 21.1° with respect to the - x-axis at B. Assume ψ = θ + φ. a. Enter an expression for the lever arm for the weight of the beam, lB, about the point A. b. Find an expression for the lever arm for the weight of the mass, lm. c. Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. d. What is the magnitude, in newtons, of the tension in the cable? e. Enter an expression the horizontal component of the force, Sx, that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables…