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5/125 The disk rotates with angular speed -2 rad/s. The small ball A is moving along the radial slot with speed L= 100 mm/s relative to the disk. Determine the absolute velocity of the ball and state the angle B between this veloc- ity vector and the positive x-axis. 125 mm

5/125 The disk rotates with angular speed -2 rad/s. The small ball A is moving along the radial slot with speed L= 100 mm/s relative to the disk. Determine the absolute velocity of the ball and state the angle B between this veloc- ity vector and the positive x-axis. 125 mm

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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What is the magnitude of acceleration of the ball?

**Problem 5/125** The disk rotates with an angular speed \(\omega = 2 \, \text{rad/s}\). The small ball \(A\) is moving along the radial slot with a speed \(u = 100 \, \text{mm/s}\) relative to the disk. Determine the absolute velocity of the ball and state the angle \(\beta\) between this velocity vector and the positive \(x\)-axis. **Diagram Description:** - The diagram shows a disk with a radial slot. A small ball \(A\) is positioned on this slot. - The disk is rotating with angular speed \(\omega\) in the plane, indicated by a circular arrow. - The position of ball \(A\) is 125 mm from the center of the disk at point \(B\). - The disk has a reference \(xy\)-coordinate system overlaid, showing the orientation. - Vector \(u\) represents the speed of ball \(A\) relative to the disk, positioned along the radial slot towards the \(x\)-axis. The goal is to calculate the absolute velocity of the ball as it moves radially, and to find the angle \(\beta\) between this velocity vector and the positive \(x\)-axis.
Transcribed Image Text:**Problem 5/125** The disk rotates with an angular speed \(\omega = 2 \, \text{rad/s}\). The small ball \(A\) is moving along the radial slot with a speed \(u = 100 \, \text{mm/s}\) relative to the disk. Determine the absolute velocity of the ball and state the angle \(\beta\) between this velocity vector and the positive \(x\)-axis. **Diagram Description:** - The diagram shows a disk with a radial slot. A small ball \(A\) is positioned on this slot. - The disk is rotating with angular speed \(\omega\) in the plane, indicated by a circular arrow. - The position of ball \(A\) is 125 mm from the center of the disk at point \(B\). - The disk has a reference \(xy\)-coordinate system overlaid, showing the orientation. - Vector \(u\) represents the speed of ball \(A\) relative to the disk, positioned along the radial slot towards the \(x\)-axis. The goal is to calculate the absolute velocity of the ball as it moves radially, and to find the angle \(\beta\) between this velocity vector and the positive \(x\)-axis.
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