A shaft with 3 meters span between two bearings carries two masses of 120 g and 100 g acting at the extremities of the arms 40 mm and 50 mm long respectively. The planes in which these masses rotate are 1.5 m and 2.5 m respectively from the left end bearing supporting the shaft. The angle between the arms is 120°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.5 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 120 g.

A shaft with 3 meters span between two bearings carries two masses of 120 g and 100 g acting at the extremities of the arms 40 mm and 50 mm long respectively. The planes in which these masses rotate are 1.5 m and 2.5 m respectively from the left end bearing supporting the shaft. The angle between the arms is 120°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.5 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 120 g.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Three Wheels. Three rubber wheels are mounted on axles so that they make tight contact with each other and their centers are on a line. The wheel on the far left axle is connected to a motor that rotates it at 35.0 r.p.m.; and drives the wheel in contact with it on its right which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d₁ = 0.22 m, the middle wheel (Wheel 2) has d₂ = 0.32 m, and the far right wheel (Wheel 3) has d3 = 0.48 m. (a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate? (b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge? (c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position (assuming the wheel in the far left position is driven at 35.0 r.p.m)? (d) What is the largest tangential speed on the outer edge of the wheel in the far right position? (a) (b) Angular speed of Wheel 3: (c) Number Tangential speed…
The reaction forces applied by the unbalanced loads on the shaft to the A and B bearings,FA = 3i N and FB = 4i N. If the shaft rotates at 300 rpm, specify the magnitude of the unbalanced loads (in kg.mm) and find their angular positions. Distances are given with a= 200 mm and b = 300 mm. (Note that the angles θ1 and θ2 are not known.)
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.09 m from the axis of rotation and the student rotates with an angular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.57 kg. m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation axis (Figure b). Wf Wi a 30€ 30€ = b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. K before J J after
A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.
4. In order to determine the mass moment of inertia of a 4-foot diameter flywheel, the flywheel is tested\twice with different deadweight. In the first test a weight of 20 lb is attached by cord and observed to fall 10 ft in 4.6 seconds. In the second test a weight of 40 lb falls 10 ft in 3.1 seconds. Assuming that the torque due to bearing friction is constant, determine mass moment of inertia of the flywheel. Your solution must include W supporting FBDS.
Solve it correctly please.
2. Determine the number of degrees of freedom necessary for the analysis of the system shown in the figure below. 0.1L 0.4L+ 0.3LS-+ 0.2L 2k G 2k Slender rod of mass m m2 moment of inertia I
Asap please