The disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular velocity of wo 18 rad/s and a counterclockwise angularacceleration of 6.5 rad/s2 determine the velocity and acceleration of pin A relative to the slotted member BC and the angular velocity and angularacceleration of BC. The value of r is 235 mm. Neglect the distance from the center of pin A to the edge of the disk. The relative velocity and accelerationare positive if they point from B to Cand negative if they point from C to B. The angular velocity and acceleration are positive if counterclockwise andnegative if clockwise.59Om3.0 rAnswers:m/siVrelm/s2arelrad/sШвсrad/s2авсIl

Draw the triangle formed by joining the points OAB.

Answered: The disk rolls without slipping on the…

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 cord, which is wrapped around the disk, is given an acceleration of a=(12t)m/s2, where t is in seconds A) Starting from rest, determine the angular displacement of the disk, measured clockwise, when t = 3 s B) Starting from rest, determine the angular velocity of the disk, measured clockwise, when t = 3 s C) Starting from rest, determine the angular acceleration of the disk, measured clockwise, when t = 3 s .
The flywheel rotates with an angular speed of w = 8 rad/s and an angular acceleration of = 16 rad/s2. Determine the tangential velocity at point B.
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.
When the gear rotates 20 revolutions, it achieves an angular velocity of v = 30 rad/s, starting from rest. Determine its constant angular acceleration and the time required.
The solid cylinder is rotating about the fixed axis OA with a constant speed N = 540 rev /min in the direction shown. If the y- and z-components of the velocity of point P are -8 ft /sec and -5 ft /sec, determine its x-component of velocity and the radial distance R from P to the rotation axis. Also find the magnitude of the acceleration of P.
The 2-m-long bar is confined to move in the horizontal and vertical slots A and B. If the velocity of the slider block at A is 6 m/s to the right, determine the bar's angular velocity and the velocity of block B at the instant theta= 60°.
The shaft of the wheel unit rolls without slipping on the fixed horizontal surface. If the velocity and acceleration of point O are 3 ft/sec to the right and 4 ft/sec2 to the left, respectively, determine the accelerations of points A and D.
The pin ion gear A on the motor shaft is given a constant angular accelera tion a = 3 rad/s2. If the gears A and B have the dimensions shown , determine the angular velocity and angular displacement of the output shaft C, when t = 2 s starting from rest. The shaft is fixed to B and turns with it.
The DC bar rotates counterclockwise with angular velocity N of 2rad/s. Determine: 1. The angular acceleration of OBE
The cord, which is wrapped around the disk, is given an acceleration of a=(13t)m/s2, where t is in seconds. Starting from rest, determine the angular displacement of the disk, measured clockwise, when t = 2 s. Express your answer using three significant figures. Enter positive value if the angular displacement is clockwise and negative value if the angular displacement is counterclockwise. Starting from rest, determine the angular velocity of the disk, measured clockwise, when t = 2s. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. Starting from rest, determine the angular acceleration of the disk, measured clockwise, when t = 2 s. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise.
The flywheel rotates with an angular velocity ofw =(0.005θ²) rad/s, where 0 is in radians.Determine the angular acceleration when it hasrotated 20 revolutions
The disk starts at ω_0 = 2 rad/s when θ = 0, and is given an angular acceleration alpha = (0.3θ) rad/s^2, where θ is in radians. Determine the normal acceleration of a point A on the rim of the disk when θ = 1 rev. pi=3

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