=The x- and y- motions of guides A and B with right-angle slots control thecurvilinear motion of the connecting pin P, which slides in both slots. For a short intervalthe motions are governed by x = 20 + t² and y 15-¹t³, where x and y are inmillimeters and t in seconds. Calculate the magnitudes of the velocity v and accelerationa of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for thisinstant.46Ans. v= 2.24 mm/s, a = 2.06 mm/s²BJerry

Answered: Image /qna-images/answer/81a1504a-dbe5-46af-bd72-6a153e57ff4a.jpg

The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval the motions are governed by x = 20 + t² and y = 15-t³, where x and y are in millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this instant. 6 Ans. y = 2.24 mm/s. a = 2.06 mm/s²

The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval the motions are governed by x = 20 + t² and y = 15-t³, where x and y are in millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this instant. 6 Ans. y = 2.24 mm/s. a = 2.06 mm/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

The speed of a car increases uniformly with time from 50 m/s at A to 100 m/s at B during 10 seconds. The radius of curvature of the hump at A is 40 m. If themagnitude of the total acceleration of the mass center of the car is the same at B as at A, compute the radius of curvature ρBof the dip in the road at B. The mass center of the car is 0.6 m from the road.
The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.8 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.61 s-1. Find (a) the velocity when t = 5.5 s, (b) the position x when t = 5.5 s, (c) the velocity when x = 3.5 m.
Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 31 mm/s to collar C and causes pin P to travel along with the smooth slot. The velocity of collar C is decreasing at a rate of 5 mm/s2 at the instant in question. Determine the values of r¨ and θ¨, where r = OP, if h = 245 mm and x = 185 mm.
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 indicated terms used in the velocity and acceleration formulas. Answers: r = __ in. θ = ___ ° r˙ = __in./sec θ˙ = ____ rad/s r¨ = ___ in./sec2 θ¨ = ____rad/s2
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
11(b) The y-coordinate of a particle in curvilinear motion is given by y = 6.4t3 - 10.6t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 12.5t in./sec2. If the velocity of the particle in the x-direction is 2.4 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.0 sec. Construct v and a in your solution.
The y-coordinate of a particle in curvilinear motion is given by y = 4.5t3 - 5.9t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 9.6t in./sec2. If the velocity of the particle in the x-direction is 12.9 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.4 sec. Construct v and a in your solution.Answers: When t = 1.4 sec,
A train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°
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 disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration at clockwise given by alfa= (3t3)rad/s2, where t is given in second. That said, for t = 3 s determine: (a) the angular velocity of the disk (b) the velocity intensity of a point P on the edge of the disk. Represent the direction of the velocity vector at point P indicated in the figure (c) the intensities of the normal and tangential components of the acceleration of a point P in the edge of the disc. Plot the direction of these acceleration components at the indicated point P in the figure
To anticipate the dip and hump in the road, the driver of a car applies her brakes to produce a uniform deceleration. Her speed is 100 km/h at the bottom A of the dip and 50 km/h at the top C of the hump, which is 120 m along the road from A. If the passengers experience a total acceleration of 3 m/s2 at A and if the radius of curvature of the hump at C is 150 m, calculate (a) the radius of curvature ρ at A. (b) the acceleration at the inflection point B. (c) the total acceleration at C.
5 (a)The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.