14.47 Four small disks A, B, C, and D can slide freely on a friction- less horizontal surface. Disks B, C, and D are connected by light rods and are at rest in the position shown when disk B is struck squarely by disk A which is moving to the right with a velocity vo = (38.5 ft/s)i. The weights of the disks are W₁ = WB = Wc = 15 lb, and WD = 30 lb. Knowing that the velocities of the disks immediately after the impact are VA VB = (8.25 ft/s)i, vc = vci, and vp = ppi, determine (a) the speeds vc and up, (b) the fraction of the ini- tial kinetic energy of the system which is dissipated during the collision. == = A D B 3 ft 3 ft

14.47 Four small disks A, B, C, and D can slide freely on a friction- less horizontal surface. Disks B, C, and D are connected by light rods and are at rest in the position shown when disk B is struck squarely by disk A which is moving to the right with a velocity vo = (38.5 ft/s)i. The weights of the disks are W₁ = WB = Wc = 15 lb, and WD = 30 lb. Knowing that the velocities of the disks immediately after the impact are VA VB = (8.25 ft/s)i, vc = vci, and vp = ppi, determine (a) the speeds vc and up, (b) the fraction of the ini- tial kinetic energy of the system which is dissipated during the collision. == = A D B 3 ft 3 ft

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

Problem 14.2 A 40 lb door with a width of 36 inches has a spring with an unstretched length of 4 in designed to close the door when left open. The spring is anchored as shown below when closed (solid outline is closed, dotted outline is open 90°). If we want the door to have an angular velocity of .2 rad/s upon closing when released from rest at 90°, what should the spring constant of the spring be? (This is the top view of the door below) 3 in (Solution: k = 2.68 lbs/ft=.224 lbs/in) Problem 14.3 4 in M 36 in
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5495 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 lb Tc. Neglect friction between the car and the track. 24 in. 25 25.in. T 25 in. C B 30 in. Determine the distance the car moves in 20 s. (You must provide an answer before moving on to the next part.) The distance the car moves is I
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two uniform cylinders, each of mass m = 7.5 kg and radius r= 125 mm, are connected by a belt as shown. The system is released from rest when t = 0. B Determine the velocity of the center of cylinder A at t = 3.6 s. The velocity of the center of cylinder A is m/s ↓.
B7
Problem 17.76 The 19.2-kg roll of paper has a radius of gyration k = 120 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB as shown in (Eigure 1) The roll rests on the floor, for which the coefficient of kinetic friction is 0.2. A horizontal force F-60 N is applied to the end of the paper. Figure 400 mm 300 mm/ C <1 of 1 Part A Determine the initial angular acceleration of the roll as the paper unrolls Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. VAE Ivec 3 a= 7.54 a Previous Answers Request Answer C QMNC ? Submit J * Incorrect; Try Again; 3 attempts remaining rad/s²
5. The arms of a Porter governor are 300 mm long. The upper arms are pivoted on the axis of rotation and the lower arms are attached to the sleeve at a distance of 35 mm from the axis of rotation. The load on the sleeve is 54 kg and the mass of each ball is 7 kg. Determine the equilibrium speed when the radius of the balls is 225 mm. What will be the range of speed for this position, if the frictional resistances to the motion of the sleeve are equivalent to a force of 30 N? [Ans. 174.3 r.p.m. ; 8.5 r.p.m.]
Problem # 5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mв = 0.3106slugs treat each body separately 6 in. B 10 lb 10 in. A 5 lb
Q2) A loaded Porter governor has four links each 200 mm long and are hinged at a distance of 40 mm from the axis of rotation. The mass of each ball is 2 kg and mass of the sleeve is 20 kg. The governor sleeve begins to rise at 300 r.p.m. when the links are at an angle of 35° to the vertical. Assuming the friction force to be constant, determine the minimum and maximum speed of rotation when the inc lination of the arms to the vertical is 40°.
The rotor of an electric motor has an angular velocity of 4500 rpm when the load and power are cut off. The 75-kg rotor, which has a centroidal radius of gyration of 200 mm, then coasts to rest. Knowing that kinetic friction results in a couple of magnitude 4.5 N m⋅ exerted on the rotor, determine the number of revolutions that the rotor executes before coming to rest. (Final answers should be in two decimal places with correct units)
Part B please
An object of mass m1 slides on a sloped block of mass M2, which in turn slides on a horizontal surface. The slope angle is a constant 3, and both masses are initially at rest. There is no friction between any of the objects, and the masses are subject to the force of gravity -mgêy. Use as co- ordinates the horizontal position x2 of mass m2, and the height y1 of mass m1, as shown in the y4 Y1 M2 x2 diagram to the right. Find the equation of motion of block 2, ä2(t). The expression should only include expressions involving constants: M2, m1, g, and B.
The arms of a Porter governor are 225 mm long. The upper and lower arms are pivoted to links of 35 mm and 45 mm respectively from the axis of rotation. Each ball has a mass of 4 kg and the sleeve mass is 35 kg. The force of friction on the sleeve of the mechanism is 44 N. Determine the range of speed of the governor for extreme radii of rotation of 115 mm and 145 mm.