As a part of an assembly process, the end effector A on the robotic arm as shown in Figure 5 needs to move the gearB along the vertical line shown in a specified fashion. Arm OA can vary its length by telescoping via internalactuators. A motor at O allows the am to pivot in the vertical plane. When e = 50°, B is moving downward with aspeed v. = 8 f/'s and a downward aceleration with magnitude a, = 0.5 ft/s. At this instant, detemine the requiredlength of the arm, the rate at which the am is extending, and its rotation rate de. In addition, determine the secondtime derivatives of both the arm's length and the angle 0.4ftFigure 5: A radar station tracking a plane in fight.

Answered: Image /qna-images/answer/b634e9d2-bac5-465d-af96-9f71f7b9b2db.jpg

As a part of an assembly process, the end effector A on the robotic arm as shown in Figure 5 needs to move the gear B along the vertical line shown in a specified fashion. Arm OA can vary its length by telescoping via internal actuators. A motor at O allows the am to pivot in the vertical plane. When e = 50°, B is moving downward with a speed v, = 8 fils and a downward acceleration with magnitude a, = 0.5 f's. At this instant, determine the required length of the arm, the rate at which the am is extending, and its rotation rate de. In addition, determine the second time derivatives of both the arm's length and the angle 0. Figure 5: A radar station tracking a plane in fight.

As a part of an assembly process, the end effector A on the robotic arm as shown in Figure 5 needs to move the gear B along the vertical line shown in a specified fashion. Arm OA can vary its length by telescoping via internal actuators. A motor at O allows the am to pivot in the vertical plane. When e = 50°, B is moving downward with a speed v, = 8 fils and a downward acceleration with magnitude a, = 0.5 f's. At this instant, determine the required length of the arm, the rate at which the am is extending, and its rotation rate de. In addition, determine the second time derivatives of both the arm's length and the angle 0. Figure 5: A radar station tracking a plane in fight.

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

The lengths of various links of a mechanism, as shown in Figure 2, are: OA = 0.3 m; AB = 1 m; CD = 0.8 m; and AC = CB. 1. Draw the displacemt diagram to a scale. 2. Determine the velocity of piston B if the crank OA rotates at 160 r.p.m in the clockwise direction. 3. Calculate the velocity of point C.
A bar is pinned to ground at its O with the bar rotating clock-wise at a constant rate of Ω=8.9[rad/s]. Block P is traveling to the left along a straight path towards with a constant speed of vp=9.7 [ft/s]. Given that h=4.7[ft] and rA/O=1.2[ft], solve the following: What is the J^ component of v¯A? What is the J^ component of (v¯P/A)rel? What is the I^ component of (v¯P/A)rel? What is the ω of the local coordinate system (this is the ω in the relative velocity and acceleration equations.
In the toggle mechanism shown in Fig. 8.16, the slider D is constrained to move on a horizontal path. The crank OA is rotating in the counter-clockwise direction at a speed of 180 r.p.m. increasing at the rate of 50 rad / s ^{2}. The dimensions of the various links are as follows:OA = 180 mm ; CB = 240 mm ; AB = 360 mm ; and BD = 540 mm.For the given configuration, find 1. Velocity of slider D and angular velocity of BD, and 2. Acceleration of slider D and angular acceleration of BD. showing how to calculate Vba, Vbc, Vbd.
In the toggle mechanism shown in Fig. 8.16, the slider D is constrained to move on a horizontal path. The crank OA is rotating in the counter-clockwise direction at a speed of 180 r.p.m. increasing at the rate of 50 rad / s ^{2}. The dimensions of the various links are as follows:OA = 180 mm ; CB = 240 mm ; AB = 360 mm ; and BD = 540 mm.For the given configuration, find 1. Velocity of slider D and angular velocity of BD, and 2. Acceleration of slider D and angular acceleration of BD. do it step by step please
Question 3: Mechanisms [16]The lengths of various links of a mechanism, as shown in Figure 2, are:OA = 0.3 m; AB = 1 m; CD = 0.8 m; and AC = CB. SKETCH BELOW 3.1. Draw the displacemt diagram to a scale. 3.2. Determine the velocity of piston B if the crank OA rotates at 160 r.p.m in theclockwise direction.3.3. Calculate the velocity of point C.
A mass weighing 2 lbs. stretches a spring 6 inches. At t=0 the mass is released from a point 8 inches below the equilibrium position with an upward velocity of 4/3 ft./s. Determine the position after π/8 secs.
The step pulleys shown in the figure below are connected by a crossed belt. If the angular acceleration of C is 2 rad/s^2, what time is required for A to travel 180ft from rest? Through what distance will D move while A is moving at a SPEED of 240ft/s. Answer for tA should be 6.7082 sec and SD should be 180 ft
The rotor of the electric motor rotates at a rated speed of n = 2500 rotatons / minute. Then, at t = 0, it started to be braked dynamically with a delay of 12 rad / s ^ 2 to a speed of 200 rotation / minute, and then the rotor was accelerated by 4 rad / s ^ 2 for the next 10s. Draw the end position, angular velocity and angular acceleration of this rotor. Enter the number of revolutions made by such a rotor in such a movement.
Crank CB rotates about the horizontal axis with an angular velocity ω1 = 6 rad/s which is constant for a short interval of motion which includes the position shown in figure 1. Link AB has a ball-and-socket fitting on each end and connects crank DA with CB. Let the length of crank CB be d mm. and plot ω2 , ωnx , ωny , ωnz , and ωn as a function of d for 0 ≤ d ≤ 200 mm. The variable ω2 is the angular velocity of crank DA while ωn is the angular velocity of link AB. What are the magnitudes of ω2 and ωn when d is 150 mm?
A wheel of the F vehicle, developed for an experimental purpose, and a mechanism attached to it are shown in the figure. The speed of the center of mass of the wheel rolling without sliding is constant and v=36km/sa. A pin fixed on the wheel can give oscillating movement to the OA bar, which can rotate around the O point. In another slot above the OA bar, the DB control bar is moved back and forth via pin B. At the moment shown in the figure:a. Find the speed and acceleration vector of pin A.b. Find the angular velocity and angular acceleration vector of the OA bar.c. Find the acceleration of the DB control bar
The length of the links are known for the mechanism shown in Figure. The angle of driver link 1 with the horizontal is ϕ= ϕ1 and the angular speed of driver link 1 is n = n1. The input data for ten cases are given in the table in Figure. Determine:a) the number of DOF of the mechanism.b) the positions of joints B, C, D, and E for a complete rotation of driver link 1,ϕ=[330°].c) the linear velocities of joints B, C, D, E and the angular velocities of links 2,3, and 4 for a complete rotation of driver link 1, ϕ=[ 330°].d) the linear accelerations of joints B, C, D, E, and the angular accelerations of links 2,3, and 4 for a complete rotation of driver link 1, ϕ=[ 330°].
The turning moment diagram for a petrol engine is drawn to the following scales: turning moment 1 mm to 2·5 Nm; crank angle, 1 mm to 1°. The fluctuations of energy between the crank positions for minimum and maximum speeds corresponds to an area of 600 mm² of the turning moment diagram. The flywheel is made from cast iron, of density 7·2 tonnes/m3. Determine: (a) The greatest fluctuation of energy (b) The mass of the flywheel required to prevent the a fluctuation of speed greater than ± 0·5% from the mean speed of 1600 rev/min if the radius of gyration is 120 mm. (c) The dimensions of the flywheel (diameter and thickness) (d) Describe the possible consequences to the system if the flywheel was not used to limit the fluctuation of speed.