Expert Answer o Step1 a) For the given shaded area r = 12 cm L4 = 15 cm y.
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- Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the OB-axis. Check your result for =45 with that given for a quarter circle in Table 9.2.need asap pls Determine the mass moment of inertia of steel balls used in ball bearings. Use a diameter of 2 cm.The moment of inertia of a rectangular plate of width ‘b’ and height ‘d’ about Y - Y axis passing through its center of gravity is Select one: bh3/12 bd3/12 db3/12 dh3/36
- Given the theoretical expression for moment of inertia of a point mass, Im=MR2 what is the slope and y-intercept of a log Im vs log R plot?A thin rectangular plate is welded on the center of the top of a circular cylinder. The mass of the cylinder is 5kg and the mass of the triangular plate is 2kg. Note that the x-axis is located on the centroid of the cylinder. Which of the following is closest to the moment of inertia of the composite object about the x-axis?a. 0.712kgm^2b.0.473 kgm^2c.0.1074 kgm^2d. 0.0401 kgm^2Which of the following is closest to the radius of gyration of the composite object about the x-axis?a. 1238 mb. 0.0757 mc. 0.260 md. 0.319A truck with four wheels, each 750 mm diameter, travels on rails round a curve of 75 m at a speed of 50 km/h. The total mass of the truck is 5 t and its centre of gravity is midway between the axles, 1.05 m above the rails and midway between them. Each pair of wheels is driven by a motor rotating in the opposite direction to the wheels and at four times the speed. The moment of inertia of each pair of wheels is 15 Kgm2. The rails lie on a horizontal plane and 1.45 m apart. Determine the load on each rail.
- A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/rad and ka = 4.000 N-m/rad. The turbine generates a harmonic torque given by M(t) = M, cos at about the shaft axis with M, = 200 N-m and e = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, )Two identical solid spheres are attached on the 2cm diameter solid rod with the density of 7750 'kg/m³. Calculate moment inertia about P- P axis of a lamina. The measurements are in cm. 3 kg 5 kg 10 cm 50 cm 40 cmUsing the polar moment of inertia of the isosceles triangle of Prob. 9.28, show that the centroidal polar moment of inertia of a circular area of radius r is π4/2. ( Hint: As a circular area is divided into an increasing number of equal circular sectors, what is the approximate shape of each circular sector?)(Reference to Problem 9.28):Determine the polar moment of inertia and the polar radius of gyration of the isosceles triangle shown with respect to point O.
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