Two identical slender rods AB and BC (MAB = MBC = 1.5 kg) are welded together to form an L shaped assembly. The assembly is pressed against a spring at D and released from the position shown (Position 1). The assembly then passes through the position where rod AB forms an angle of 60° counterclockwise from the horizontal (Position 2). Knowing that the maximum angle of rotation of the assembly in its current motion is 90° counterclockwise (Position 3), answer the following. D B -0.4 m A 0.4 m 3. Which of the following best approximates the value of the potential energy of the system at Position 2 with the datum at the level of pin B? NOTE: ANSWER IS NOT -2.943 NOTE: ANSWER IS NOT -2.15J and +2.15J is not in the options 4. Which of the following best approximates the total mechanical energy at Position 3? 5. Which of the following best approximates the angular velocity of the system at Position 2? NOTE: ANSWER IS NOT 7.09 rad/s

Two identical slender rods AB and BC (MAB = MBC = 1.5 kg) are welded together to form an L shaped assembly. The assembly is pressed against a spring at D and released from the position shown (Position 1). The assembly then passes through the position where rod AB forms an angle of 60° counterclockwise from the horizontal (Position 2). Knowing that the maximum angle of rotation of the assembly in its current motion is 90° counterclockwise (Position 3), answer the following. D B -0.4 m A 0.4 m 3. Which of the following best approximates the value of the potential energy of the system at Position 2 with the datum at the level of pin B? NOTE: ANSWER IS NOT -2.943 NOTE: ANSWER IS NOT -2.15J and +2.15J is not in the options 4. Which of the following best approximates the total mechanical energy at Position 3? 5. Which of the following best approximates the angular velocity of the system at Position 2? NOTE: ANSWER IS NOT 7.09 rad/s

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 uniform disk of mass m = 4 kg and radius r = 150 mm is supported by a belt ABCD that is bolted to the disk at B and C. If the belt suddenly breaks at a point located between A and B, draw the FBD and KD for the disk immediately after the break.
In the mechanism illustrated in the figure opposite, each of the two bars AB and BC has a mass of 10 kg. A constant torque of M = 100 N*m is applied to bar AB around point A. Both bars are initially at rest at the position shown. Neglect the size of the small roller at point C. a) Prove that the bar BC is in translational motion at the instant shown. b) Determine the horizontal and vertical reaction forces at point B and the vertical reaction force at point C. Answers: b) Bx = [83.34 N →]; By = [17.8 N 1] et Rc = [80.3 N ↑] 0.9 m B M 1.2 m C
A shaft carries four masses A, B, C and D of magnitudes 18 kg, 15 kg, 27 kg, and 22.5 kg respectively and revolving at radii 20 mm, 25 mm, 30 mm and 15 mm respectively. The masses are rotating in the same plane. The angular position of masses B, C and D are 60 degrees , 135 degrees and 270 degrees from mass A. Find the magnitude and position of the balancing mass at a radius of 50 mm,
Two identical slender rods AB and BC (MAB = MBC = 1.5 kg) are welded together to form an L shaped assembly. The assembly is pressed against a spring at D and released from the position shown (Position 1). The assembly then passes through the position where rod AB forms an angle of 60° counterclockwise from the horizontal (Position 2). Knowing that the maximum angle of rotation of the assembly in its current motion is 90° counterclockwise (Position 3), answer the following. B A 1. Consider Position 2, which of the following force/s does/do work on Rod BC? 1. Weight of Rod AB II. Weight of Rod BC III. Force on the spring IV. The reactions at pin B ♦ 2. Which of the following expressions in terms of w2 gives the kinetic energy of the system at Position 2? w2 is the angular velocity of both rods at Position 2. (The angular velocity of rods AB and BC are equal) + -0.4 m 0.4 m
The uniform L-shaped bar pivots freely at point P of the slider, which moves along the horizontal rod. Determine the steady- state value of the angle 8 if (a) a = 0 and (b) a = 0.62 g. For what value of a would the steady-state value of 8 be zero? b 2.9 b
4 -(Kinetics of Curvilinear Motion) Tow weights W, and W2 of 8KN and 5KN are attached at the ends of a flexible cable. The cable passes over a pulley of 100 cm diameter. The weight of the pulley is 600N with a radius of gyration of 50cm about its axis of rotation. Find the torque which must be applied to the pulley to raise the 8KN weight with an acceleration 1.5 m/s?. Neglect friction in the pulley bearing. 50 cm 600N T 8kN 5kN W,
1. A thin pole of length L = 3 m and mass 6 kg is being raised by a rope of tension 80 Newtons as shown. The left end of the pole can rotate about a pivot attached to the wall. Determine the magnitude and direction of the angular acceleration of the pole. The general steps in applying the rotational 2nd law are given below. a. Draw an extended free body diagram showing the forces on the rod and where they act. • The weight acts at the center of mass. • There must be a force at the pivot that holds that end in place. b. Determine the torque generated by each force on your FBD. Sum the torques to get the left-hand side (LHS) of the rotational 2nd law. C. Determine the moment of inertia of the pole. FBD 30° T d. Apply the rotational 2nd law to determine the magnitude and direction of angular acceleration of the pole.
HW2 A uniform disc of 80 mm radius has a mass of 2000 g. It is mounted centrally in bearings that maintain its axle horizontally. The disc spins about its axle with a constant speed of 550 r.p.m. while the axle precesses uniformly about the vertical at 50 r.p.m. The directions of rotation are shown in the figure below. If the distance between the bearings is 130 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. Ho +X +y * -y
QI/ A shaft rotating at 120 r.p.m is supported in bearing A and B, 1.8 m apart, A being at the left – hand end. Two unbalanced rotating masses of 7.5 kg and 10 kg at radii of 75 mm and 50 mm respectively are situated between A and B at distances of 0.6 m and 0.9 m respectively from A. The angle between the radii is 60º when viewed along the shaft. Answer the following questions: and ... 1- The dynamic forces are 2- Forces on bearings A and B due to dead weight are and 3- Resultant force at A and B are ..... and 4- A rotor supported at A and B carries two masses. The rotor is (a) dynamically balanced (b) statically balanced (c) both (a)&(b) (d) none. 5- The static balancing is satisfactory for low-speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the (a) unbalanced couples are caused only at higher speeds (b) unbalanced forces are not dangerous at higher speeds (c) effects of unbalances are proportional to the square of the speed (d) effects…
The cranks and connecting rods of a four cylinder in-line engine running at 2000 rpm are 60mm and 240mm each respectively. The cylinders are spaced 150 mm apart. If the cylinders are numbered 1 to 4 in sequence from one end, the cranks appear at intervals of 90º in an end view in the order 1-4-2-3.The reciprocating mass for each cylinder is 15 kg. Determine (i) unbalanced primary and secondary forces, (ii) unbalanced primary and secondary couples with reference to central plane of the engine
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.
A shaft caries four rotating masses A, B, C and D which are completely balanced. The masses B, C and Dare 50kg, 80kg and 70kg respectively. The masses C and D make angles of 90° and 195° respectively with mass B in the same sense. The masses A, B, C and D are concentrated at radius 75mm,100mm,50mm and 90mmrespectively.The plane of rotation of masses B and C are 250mm apart. Determine the magnitude of mass A and its angular position the position of planes A and D.