Calculate the polar moment of inertia of a steel tube (weight density = 0.289 lbf/in ^3) that has a 3.85" OD (outer diameter), and 3.25" ID (inner diameter), and is 13" long.
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- Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23A 208N force is applied to a 0.93m long uniform rod (shown in the figure) at the end opposite the pivot point. The angle 01 is equal to 25° and 02 equals 67°. 02 Pivot point The magnitude of the torque due to F about some pivot point is determined by T| = rFsin0. Determine the magnitude of the torque, T, on the rod about the pivot point due to F.Determine the moment of inertia of the cross-sectional area of the reinforced channel about the x-axis. Assume t = 1.4 in., a = 2.4 in, b = 2.6 in, c = 2.0 in. 州 十 Answer: Ix= a in.4 我
- A 2kg disk has a radius of 18cm and rotates with an angulas acceleration of 12 rad/s^2 about an axis through its center and peroendicular to the plane of the disk. Determine the tangential force at the rim of the disk.Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. The spool and cable have a total mass of 540 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. (Figure 1) %D Figure < 1'of 1 T 300 N 1.5 m o.s.m 30 1 mTo polish a filling, a dentist attaches a sanding disk with aradius of 3.20 mm to the drill. (a) When the drill is operated at2.15 * 104rad>s, what is the tangential speed of the rim of thedisk? (b) What period of rotation must the disk have if the tangential speed of its rim is to be 275 m>s?
- O Rësources Lx Give Up? Hint The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 4.32 kg, and two thin crossed rods of mass 8.66 kg each.A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? ra = about us privacy policy contact us help careers terms of useCalculate the moment of inertia of the cross section of the beam about its centroidal xo-axis. Assume h = 151 mm, b = 121 mm, t = 15 mm. ㅏ Answer: lxo = i 6 to yo 야 h (106) mm4You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0° above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has mass 490 kg and radius 0.300 m. The Part A cylinders are pulled up the ramp by applying a constant force F to the free end of the rope. F is parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120. What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp? Express your answer with the appropriate units. F = Value Units Submit Request Answer Part B If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it…
- The cable AB carries a tension of 310 N. Determine the moment about O (positive if counterclockwise, negative if clockwise) of this tension as applied to point A of the slender bar. B 450 mm 690 mm Answer: Mo= 29° i N-mA man holds a 171, N ball in his hand, with the forearm horizontal. He can support the ball in this position because the flexor muscle force, which is appliedperpendicular to the forearm. The forearm weighs 19.3 N and has a center of gravity as indicated. Find the magnitude of M.Question 12. A lamina has mass M 40 and shape bounded by the z-axis, y-axis and the lines y 5+z and z 9. (a) Enter p the mass per unit area correct to two decimal places: (b) Enter the Moment of Inertia of the lamina (Mol) about the y-axis correct to two decimal places:
