please solve as soon as possible A pipe AB, as shown in the figure, rotateswith a constant angular velocity o about avertical axis CD. The angle between the pipeand the axis is equal to a. A small ball M maymove inside the pipe. Initially, it is located ata distance a from the axis and its velocity isequal to zero. Neglect friction inside the pipe.Determine the ball relative velocity as afunction of its location along the pipe. AdoptB.45°a=45° in calculations. The vertical vector ofthe gravitational acceleration is equal to g.

Given: The angle of pipe AB with vertical axis = 45o

Answered: A pipe AB, as shown in the figure,…

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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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.
For the projectile shown on the figure, determine thefollowing at point B: c) The radius of curvature of the path and the tangentialcomponent of the acceleration.d) The radial and transverse components of position, velocity and acceleration.
Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A. Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.
In the situation illustrated in the figure below, a small package is deposited by a conveyor belt at point A onto a ramp at theta = 35 degrees degrees to the horizontal with a velocity of 0.5m / s . The distance between points A and Bis 2 m. a)Calculate the maximum value mu k ^ * of the kinetic friction coefficient between the package and the ramp AB for which the parcel reaches point B. b) If the actual kinetic friction coefficient between the package and AB and BCis mu k =0.5 mu k ^ * calculate the distances on the level surface BC at which the package comes to rest. Note: if you haven't been able to solve part a), take the actual kinetic friction coefficient equal to mu_{k} = 0.28
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
Prove the relation that Hammer blow = ± mb x r*x ω2 where mb = Balancing mass placed at a radius of r* and ω= angular speed of the crank.
find an acceleration of the center of the beam (marked as a blue point) which is connecting both wheels , if it is known that linear velocity ot the wheels v=100km/h, r=0,8m and the distance drom the center of the wheel and the pont where the beam is connected (marked as red red distance)=0,4m, there is no slipping between wheels and the ground
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
Consider the four – bar mechanism in Fig. 1 with a velocity VA= 9.14 m/s,determine : A) all instant centers.b) the velocities of point b by using the instant centers.
Collars A and B are attached by a rod of length 30 cm, as shown below. The joint at A is a ball-and-socket and at B a pin joint. Collar A moves in the z direction, while the guide bar for collar B is on xy plane. At the instant shown, collar A is at a height of 24 cm and collar B is moving with a speed of 3 m/s towards the x axis. Find the (a) angular velocity of the rod, and (b) the sliding of collar B. Use the image attached to solve the question
Two smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. Suppose that (vA)1 = 9 m/s , (vB)1 = 8 m/s. The figure shows two discs, A and B, moving toward the origin of a horizontal xy-plane, where they collide, so that their common tangent lies on y-axis. Disk A moves in negative x-direction with velocity left-parenthesis v subscript A right-parenthesis subscript 1. Block B moves from the third quarter with velocity left-parenthesis v subscript B right-parenthesis subscript 1, directed along an inclined line with a slope of four-thirds. Determine the coefficient of restitution between the disks if after collision B travels along a line, 30∘ counterclockwise from the y axis.
Example] The two ends of bar AB slides along the vertical and horizontal surfaces. MA = 1,, MB = 1,0 = ot(@= const.) Determine the motion equation, the magnitude of the velocity and acceleration for point M. B

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