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 - 12+0.55t² and y- 16-0.57t³, where x and y are in millimeters and in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-2.5 s. Sketch the direction of the path and indicate its curvature for this instant. P

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 - 12+0.55t² and y- 16-0.57t³, where x and y are in millimeters and in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-2.5 s. Sketch the direction of the path and indicate its curvature for this instant. P

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

In the mechanism in the figure, the movement of the pin A in the circular slot is controlled by the guide B.Guide B moves upwards at a constant speed of v0 = 2 m/s, by means of the screw to which it is attached in a certain range of its movement.is removed. Calculate the normal and tangential components of the acceleration of pin A when θ = 30o.
Bicyclist at A is traveling around a corner at a speed of 7 m/s and is slowing down at 0.25 m/s2 and Bicyclist at B is traveling on a straight road at 8.5 m/s and is increasing the speed at 0.42 m/s2 1-Find the magnitude of the relative acceleration of A with respect to B. 2-show the addition of the vectors below and show their tip-to-tail relationship.
The horizontal motion of the spring-loaded follower E, which is always in contact with the cam A is controlled by the air pressure in the horizontal pneumaticscylinder F. The follower has a velocity of 2 m/s to the right when angle ? = 30o. If the initial velocity of the follower E is zero when angle ? = 30o and reaches thefinal velocity of 2 m/s after 0.5 seconds, calculate the acceleration of the roller D.
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.
A chute delivering shipments of freight is so designed that the boxes starting from rest, receive a uniform acceleration of 18 ft. / sec2 on the first section which is 18 ft. long. Then they are retarded by a 6 ft. / sec2 uniform deceleration on the next section. It the total time consumed in shooting both sections of 12 sec. Determine (1) the time at the first and second sections in sec. (2) the velocity after the time at the first section, in ft. / sec. (3) the distance or displacement of the second section. in ft. (4) the velocity in ft. / sec. at the end of second section.
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.
In an archery test, the acceleration of the arrow decreases linearly with distances from its initial value of 15600 ft/sec2 at A upon release to zero at B after a travel of 34.4 in. Calculate the maximum velocity v of the arrow.
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
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. Determine the velocity of the bearing shaft at corner B when the angle is equal to 55c.Determine the acceleration of the bearing shaft at corner B at that same instant.
5. A flywheel 6 ft. in diameter accelerates from rest at the constant rate of 4 rpm per sec. Compute the normal and tangential components of the acceleration of a particle on the rim of the flywheel after 10 sec.
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 Ferris wheel with radius 30 ft is decelerating such that at t = 0 s, the tangential speed of a point P on the rim is v=10ft/s and dv/dt = ct. c=-0.4ft/s^3 . What is the acceleration of P at t= 3 s?