A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 89 N/m and of unstretched length 350 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) (0 = 90°). 400 mm 0=0 200 mm 300 mm 200 mm 0=90 www

A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 89 N/m and of unstretched length 350 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) (0 = 90°). 400 mm 0=0 200 mm 300 mm 200 mm 0=90 www

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

A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.
A 48-kg advertising panel of length 2a = 2.4 m and width 2b = 1.6 m is kept rotating at a constant rate w1 about its horizontal axis by a small electric motor attached at A to frame ACB. This frame itself is kept rotating at a constant rate w2 about a vertical axis by a second motor attached at C to the column CD. Knowing that the panel and the frame complete a full revolution in 6 s and 12 s, respectively, express, as a function of the angle 0, the dynamic reaction exerted on column CD by its support at D.
Two identical giant flywheels are on 2 identical slopes at an angle alpha = 20 deg. One flywheel is rolling on its inside shaft of diameter d1 = 3 ft, and the second flywheel is rolling without slipping on its outside diameter d2 = 5 ft. They are both released from rest. The weight of the flywheel is W = 8 lbs Knowing that flywheel 1 attains a speed of v = 7.0 ft/s in t = [t] s, (if t doesn't show take any t between 5 and 10 sec) find the radius of gyration of the flywheels, following those steps: b. Find omega final c. Find the angular impulse at the point of contact between the shaft and the slope. d. Write the formula to find the final momentum. e. Solve for k, using the principle of angular impulse and momentum
Two identical giant flywheels are on 2 identical slopes at an angle alpha = 20 deg. One flywheel is rolling on its inside shaft of diameter d1 = 3 ft, and the second flywheel is rolling without slipping on its outside diameter d2 = 5 ft. They are both released from rest. The weight of the flywheel is W = 8 lbs 1. Knowing that flywheel 1 attains a speed of v = 7.0 ft/s in t = [t] s, (if t doesn't show take any t between 5 and 10 sec) find the radius of gyration of the flywheels, following those steps: 3. What will be the distance between the 2 flywheels? Which one is in front? a. Explain your strategy to find the distance made by each wheel. b. Find the 3 distances made by each wheel. c. Find the distance between the 2 flywheels. d. Why one is in front? 4. Using flywheel 2, what is the coefficient of static friction between the outside diameter and the ground required to prevent slipping? a. Using the 3 previous diagrams, which impulse will you consider finding the force of…
A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is (600+a) mm, where a = 8. Appendix A shows the examples of identifying the radius of gyration using student ID. Determine the pulling force P.
A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I = 1/2 mr2. 1) Consider a scenario in which the flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m2 = 11 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 2) Return now to the flywheel of part (a), with mass m1, radius r1, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed vcar. Enter an expression for the mass of the car, in terms of the quantities defined here.
A spool of mass 60 kg is supported on two rollers at A and B as shown in FigureQ1(c). Neglect the mass of the inelastic cable, friction and the mass of therollers at A and B. Knowing that a constant pulling force P is applied in order tounwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spoolis (604) mm, Appendix Ashows the examples of identifying the radius of gyration using student ID.(i) Determine the angular acceleration of the spool. (ii) Determine the pulling force P. (iii) Explain with calculation on ways to increase the acceleration of cablebeing pulled. [
A 240-lb block is suspended from an inextensible cable which is wrapped around a drum of 1.25-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of intertia of 10.5 lb-ft-s^2. At the instant shown, the velocity of the block is 6 ft/s directed downward. The bearing at A as a frictional moment of 60 lb-ft. What is the kinetic energy of the system after the block moved after 4ft? (in ft-lb)
modified book exercise: Vector Mechanics for Engineers: Statics and Dynamics (8th Edition) chapter 4 and exercise 12 Four boxes are placed on a 17,7 kg uniform wooden plank that rests on two trestles. Knowing that the masses of boxes B and D are 2.5 kg and 32 kg, determine, respectively, the range of values for the mass of box A so that the plate remains in equilibrium when box C is removed. answer 1 2 kg found ≤ma ≤ 196.4kg( I don't know if this is correct)
While the system shown is in equilibrium, a counter-clockwise torque T =T0sin(ωt) N-m(with T0 = 226.6 and ω=7) is applied to teh disk. What is the disk angular speed ω0 = ? in rad/s at time t = 4.2 sec? ( I = 0.2 kg.m2, b = 7.8 N-m-s/r, k = 1,504 N/m, r = 0.52m )
Two blocks each have a mass 1.5 kg and are attached to links that are pin-connected to bar BC as shown. The masses of the links and bar are negligible, and the blocks can slide without friction. Block D is attached to a spring of constant = 720 N/m. Knowing that bloc k = 720 N/m. Knowing that block A is at rest when it is struck horizontally with a mallet and given an initial velocity of 250 mm/s, determine the magnitude of the maximum displacement of block D during the resulting motion.
From mechanics of materials it is known that for a cantilever beam of constant cross section a static load P applied at end B will cause a deflection δB = PL3/3EI, where L is the length of the beam, E is the modulus of elasticity, and I is the moment of inertia of the cross-sectional area of the beam. Knowing that L = 10 ft, E = 29 x 106 lb/in2, and I = 12.4 in4, determine (a) the equivalent spring constant of the beam, (b) the frequency of vibration of a 520-lb block attached to end B of the same beam.