The crane has a boom of length OP= 21 m and is revolving about the vertical axis at the constant rate of 2.5 rev/min in the direction shown. Simultaneously, the boom is being lowered at the constant rate = 0.39 rad/s. Calculate the magnitudes of the velocity and acceleration of the end P of the boom for the instant when it passes the position ß = 22°. Answers: Vp = ap= i i ..... THREE m/s m/s²

The crane has a boom of length OP= 21 m and is revolving about the vertical axis at the constant rate of 2.5 rev/min in the direction shown. Simultaneously, the boom is being lowered at the constant rate = 0.39 rad/s. Calculate the magnitudes of the velocity and acceleration of the end P of the boom for the instant when it passes the position ß = 22°. Answers: Vp = ap= i i ..... THREE m/s m/s²

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

Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. *********************ANSWER THIS PART ONLY************ Write the velocity and acceleration as vectors.v = (______ er + ______ eθ) in./seca = ( ______er + ______ eθ) in./sec2
In the figure shown, the hydraulic cylinder moves upwards with a constant speed of Va=0.2 m/s, transferring vertical movement to corner A of the container. If bearing b never slips and has a diameter of 8 cm, determine the angular velocity of the imaginary line drawn from its axis of rotation to any point on its periphery. Determine the angular velocity of side CD at this moment.
The disk is rotating with an angular speed of = 4 rad/s and has an angle of = 30°. Determine the tangential velocity at point A.
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Determine the r- and θ-components of velocity and acceleration. Answers: vr = in./sec vθ = in./sec ar = in./sec2 aθ = in./sec2
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2
The power winches on the industrial scaffold en- able it to be raised or lowered. For rotation in the senses indicated, the scaffold is being raised. If each drum has a diameter of 200 mm and turns at the rate of 40 rev/min. determine the upward velocity u of the scaffold.
The disk in Figure, rotates about a fixed axis throughO with angular velocity ω =5 rad/sec and angularacceleration α = 3 rad/sec2in the directions shown at acertain instant. The small sphere A moves in the circularslot, and at the same instant, β = 30°, ?̇ = 2rad/sec, and?̈ = - 4 rad/sec2. Determine the absolute velocity andacceleration of A at this instant.
At the top A of the vehicle moving along line AC in the figureIts speed is 30 m / sec and its weight is 9 kN.Tool radius of curvature 40The reaction force to the tires when reaching point B, which is m,and so that the tires do not separate from the asphalt when it reaches point CWhat should be the radius of curvature of point C? (hA = 6 m andhC = 9 m)
The figure is made of rigid members AB, BC, DE, and EF, whichare pinned at A, B, D, E, and F. End C of member BC is pinned to a block which slides on member DE. For the given position, angular velocity of member AB = 2 rad per sec clockwise and angular acceleration of member AB = 3 rad / s^2 counterclockwise. Find the linear velocity and acceleration of the block at C for this position.
The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using(1) vector equations; and (2) scalar equations. Ans:VA= 0.3im/sBA = -0.9k - 0.2i m/s2
b) Find the angular velocity and angular acceleration of disc B shown below, which is spinningatthe constant rate of ω2 = 90/πrpm. The disc is attached to collar A, which is rotating at the angular speed of ω1 = 5/π rpm, with the angular speed increasing at 0.5/π rpm/sec. Rod AB which connects the disc to the collar ispinned to the collar at A. The rod makes an angle of θ = 300 with the vertical, which is increasing at a constant rate of20/π0/sec.Express theAngularvelocityAcceleration of the disc in terms of a reference frame attached to thecollar.
Find the angular acceleration of bar BC for the moment indicated in the diagram. Bar AB has a constant clockwise angular velocity of 5.3 rad / s and the dimensions are as follows: x1 = 13 m, x2 = 20 m, y1 = 16 m, y2 = 19 m.