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- The propeller shaft of an aero-engine is supported on two bearings, which are 0.8 m distance a part and the shaft is rotating at 2500 r.p.m. If the radius of gyration of the propeller is 0.6 m, find the extra pressure on the bearings, when the aeroplane is whirling round in a horizontal circle of 250 m radius at a speed of 250kilometers per hour. Take the weight of the propeller as 500 N.h y g(x) density p = 800 kg m³ Determine the cone's radius of gyration about the x-axis. 2h x An engineering student has modelled a truncated cone in CAD software by rotating the coloured area about the x-axis. The y-coordinate can be described by the equation g(x) = + 1 and the cup has constant 6 The cone has dimensions h = 1 m and l = 6 m. XThe assembly shown consists of a flywheel, a counterweight, and a bolt that attaches the counterweight to the flywheel. The flywheel is uniform with mass per area of 3 g/mm² and has a 40 mm diameter hole as shown. Determine the mass mc of the counterweight so that the center of mass of the assembly is at point O. The counterweight is attached to the flywheel by a bolt with mass mp= 800 g that is screwed into a 10 mm diameter hole that passes completely through the flywheel. (Round the final answer to four decimal places.) flywheel 40 mm o counterweight and bolt mc, mB 45 mm 100 mm 50 mm The mass mc of the counterweight is g.
- Determine the equivalent spring constant of the system where the spring will be located in the position of k1. k1=1N/m, k2=5N/m (answer in N/m) * Sphere, mass m, No slip Bell crank lever, - mass moment of inertia Jo 06. mThe 24-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. Determine its mass moment of inertia / (in kg•m²) about point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: AnswerConsider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree 1) assuming no slipping and when starting from horizontal cable (θ = 0o) the spool moves to the left- determine the minimum tension in the cable (Tmin) that causes the spool to slip. Assumeμk = 0.4 and μs = 0.5.
- it is known that the shaft in the shape with a rotating disk on it rotates parallel to the horizontal plane. rotation speeds are wr=955 wp=296 rpm. Find the mass of the rotating disk to remain in a parallel position.gravitational acceleration g=9.81 m 2. mass moment of inertia of disk I=0.090479 kgm 21. Determine the second mass moments I,, 3d- 3d - I, and J,for the plate shown. The plate has uniform thickness, t, normal to the plane of the figure, and uniform mass den- sity, p. The parameters d, e, t and are given. 6d 4d Radius = 2dFind the z-component of the location of the mass center of the body shown in figure which is a hemisphere glued to the solid cylinder of the same density. Assume L = 1.9 Rand R= 1.4 m. R Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.