5) The center O of the spool starts from rest and acquires a velocity of 1.2 m/s up the incline withconstant acceleration in a distance of s = 2.4 m under the action of a steady pull, P applied topoint A of the cable. The cable is wrapped securely around the hub of the spool, and the spoolrolls without slipping. For the s=2.4 m position shown, compute the acceleration of point A on thecable and point B on the spool.yB250 mm100 mm0s=2.4 mAnswers:Aā₁ = 0.18 +2.30 m/s²ā¸ = 0.6î – 5.76ĵ m/s²XP15°

Answered: Image /qna-images/answer/75a988df-607b-489c-843b-5483143da2d8.jpg

Answered: 5) The center O of the spool starts…

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

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The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the con- necting pin P, which slides in both slots. For a short interval, the motions are governed by x 20 +t and y = 15 - t, where x and y are in millimeters and t is 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 cur- vature for this instant.
The wheel of radius R rolls without slipping, and itscenter O has an acceleration aO. A point P on the wheelis a distance r from O. For given values of aO, R, and r,determine the angle θ and the velocity vO of the wheelfor which P has no acceleration in this position.
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.
In the system presented, the tractor A is used to hoist bale B with the pulley mechanism. If A has a constant forward velocity “vA”, determine an expression for the upward acceleration “aB” of the bale in terms of x.
Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The car has a forward acceleration of a = 4.7 m/s2 without slipping its 630-millimeter diameter tires. Determine (a) the velocity (v) of the car when point P at the tire (corresponding to θ = 43° as shown) has zero horizontal component of acceleration. Also, compute for (b) the total acceleration at point P.NOTE: Use purely RMA Method for velocity and acceleration calculations.
As the hydraulic cylinder rotates around O, the exposed length l of the piston rod P is controlled by the action of oil pressure in the cylinder. If the cylinder rotates at the constant rate 60 deg/s and l is decreasing at the constant rate of 150 mm/s, calculate the acceleration of end B when l = 125 mm.
The velocity of roller A is vA = 0.5 m/s to theright as shown, and this velocity is momentarilydecreasing at a rate of 2 m/s2. Determine the corresponding value of the angular accelerationof bar AB as well as the tangential acceleration(aB)t of roller B along the circular guide. Thevalue of R is 0.6 m.
The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..
At the instant θ = 45, the athlete is running with a constant speed of 2 m/s. Determine the angular velocity at which the camera must turn in order to follow the motion
The smooth bar AB shown rotates in the horizontal plane about point A at the constant rate of 77 rpm. At the instant shown, the 9.4 kg collar C is at r=AC=6.8 m, and it is sliding outward relative to the bar at a speed of 11 m/s. For this instant, the following is required (i) Draw the free body diagram of collar C (ii) Write down the radial and transverse components of the acceleration of the collar C (iii) Write down the equations of motion for collar C (iv) Determine the magnitude of the force(s) exerted by bar AB on the collar
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 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.

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