b) The mass of gear A in Figure Q4(b) is 20 kg, its radius is 240 mm and itsradius of gyration is 150 mm. The mass of gear B is 10 kg, its radius is 180mm and its radius of gyration is 100 mm. Calculate the angular acceleration ofgear B when a torque M = 12 Nm is applied to the shaft of gear A, neglectfriction."A = 240 mmrB - 180 mm

The gear ratio of the transmission is

Answered: The mass of gear A in Figure Q4(b) is…

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

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A uniform beam of length, L, and mass, M, is freely pivoted at one end about an attachment point in a wall. The other end is supported by a horizontal cable also attached to the wall, so that the beam makes an angle phi with the horizontal as shown below. To answer the questions below, find algebraic expressions for the tension in the cable, the angular acceleration of the beam, should the cable break, and the resulting angular velocity as the beam falls through the vertical position. A. If L = 2.4 m, M = 5 kg, and phi = 45o, then what is the tension in the cable? B. If the cable snaps, what is the angular acceleration about the pivot point? C. What is the angular velocity of the falling beam, just as it hits the wall?
4
7. 2) The lawn roller has a mass m = 55 kg and a radius of gyration about its gravitational center G, kG = 196 mm. It has a handle that connects to its center axle, and the handle is pushed forward with a force F = 420 N at a 45° angle. The coefficients of static and kinetic friction between the roller and the ground are us = 0.11 and Hk = 0.08, respectively. For the sets of parameters listed below, determine the magnitude of the roller's angular acceleration (in rad/s²). 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/s?. F 45° 200 mm A
4.14. The system illustrated in Figure 4.26 is comprised of a board of length / with uniform mass per unit length of p. It sits on top of two counter-rotating cylinders, which are rotating with an angular velocity of @ in the directions indicated and are separated by a distance 1/2. You may assume that is large enough that the points of contact between the board and cylinders are always slipping and that the coefficient of dynamic friction between the board and cylinders is μ. If the board is not centered on the two cylinders, then the normal force will be greater on the side to which it is displaced because more of the weight of the board will be supported on that side. For example, in the figure, the normal force between the board and cylinder will be greater at the left cylinder, and this will cause a net force to the right. Let x denote the distance that the center of the board is displaced from the center of the two cylinders, as is illustrated in the figure, and determine the…
Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, and μs=0.297. What is the maximum angular velocity allowable if the collar is to remain at a constant distance r=300 mm from the axis of rotation? Express your answer to three significant figures.
Problem No. 8 A shaft rotating at 120 rev/min is supported in bearings C and D, 1.8 m apart. Two unbalanced rotating masses of 7.5 kg and 10 kg at radii of 7.5 cm and 5 cm respectively are situated between C and D at distance of 0.6 and 0.9 respectively from C. the angle between the radii is 60°. Find the magnitudes and directions of the forces of the shaft on the bearings due to the combined action of the inertia loads (dynamic) and gravity forces (static) at the moment when the 7.5 kg is vertical and above the shaft and the 10 kg mass is on the right of the 7.5 kg mass when viewed from D to C.
Learning Goal: Use the general equations of motion for plane motion to determine the initial acceleration of a spool. A spool has an outer radius R = 380 mm, an inner radius r = 210 mm, a mass m = 90 kg, and a radius of gyration KG = 320 mm. A rope is wrapped around the inner radius and pulled to the right as shown in (Figure 1). The coefficient of static friction between the spool and the ground is us = 0.2. The coefficient of kinetic friction is k = 0.15. Figure R A P 1 of 1 Part A Draw the free-body diagram for the spool, assuming the friction force acts to the right. Draw the vectors, starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. + 0 No elements selected Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer
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