Use Instantaneous Center of Zero Rotation Method ### Problem 16-87The mechanism shown is used in a riveting machine. It consists of a driving piston \( A \), three members, and a riveter which is attached to the slider block \( D \). Determine the velocity of \( D \) at the instant shown, when the piston at \( A \) is traveling at \( v_A = 30 \, \text{m/s} \).#### Diagram Description:- **Components**: - **Piston \( A \)**: The driving element moving with a velocity \( v_A = 30 \, \text{m/s} \). - **Members \( B \), \( C \)**, and connecting linkages forming an articulated mechanism. - **Slider Block \( D \)**: The point where the velocity needs to be determined.- **Dimensions**: - The distance from the pivot at \( B \) to point \( C \) is \( 200 \, \text{mm} \). - The distance from point \( C \) to the end of the piston \( A \) is \( 300 \, \text{mm} \). - Another segment from point \( C \) to \( D \) measures \( 150 \, \text{mm} \).- **Angles**: - Angle at \( C \) connected to \( A \) is \( 45^\circ \). - The angle between the member connected from \( B \) to \( C \) is \( 60^\circ \). - An additional angle for the piston trajectory below horizontal at \( A \) is \( 30^\circ \).- **Motion**: - The diagram shows the path of motion and velocity vector \( v_A \) for piston \( A \) pointing left.This setup indicates a typical kinematic analysis problem involving linkages and relative motion between connected components. The goal is to compute the linear velocity of the slider block \( D \).

Given data:- The piston at A is traveling at VA=30 m/s

16-87. The mechanism shown is used in a riveting machine. It consists of a driving piston A, three members, and a riveter which is attached to the slider block D. Determine the velocity of D at the instant shown, when the piston at A is traveling at VA = 30 m/s.

16-87. The mechanism shown is used in a riveting machine. It consists of a driving piston A, three members, and a riveter which is attached to the slider block D. Determine the velocity of D at the instant shown, when the piston at A is traveling at VA = 30 m/s.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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