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A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of point A is defined by the relation a = -1.8 sinkt, where a and t are expressed in m/s2 and seconds, respectively, and k= 3 rad/s. Knowing that x = 0 and v= 0.6 m/s when t= 0, determine the velocity and position of point A when t=0.4 s. с + B D Velocity = Position of point A = mm/s mm

A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of point A is defined by the relation a = -1.8 sinkt, where a and t are expressed in m/s2 and seconds, respectively, and k= 3 rad/s. Knowing that x = 0 and v= 0.6 m/s when t= 0, determine the velocity and position of point A when t=0.4 s. с + B D Velocity = Position of point A = mm/s mm

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of point A is defined by the relation a = -1.8 sinkt, where a and tare expressed in m/s2 and seconds, respectively, and k= 3 rad/s. Knowing that x = 0 and v= 0.6 m/s when t= 0, determine the velocity and position of point A when t = 0.4 s. A C + B Velocity = Position of point A = mm/s D mm
Transcribed Image Text:A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In the Scotch yoke shown, the acceleration of point A is defined by the relation a = -1.8 sinkt, where a and tare expressed in m/s2 and seconds, respectively, and k= 3 rad/s. Knowing that x = 0 and v= 0.6 m/s when t= 0, determine the velocity and position of point A when t = 0.4 s. A C + B Velocity = Position of point A = mm/s D mm
Expert Solution
Introduction

The acceleration of the point A is a=-1.8sinkt.

At the initial time, x=0 and v=0.6 m/s.

The value of the constant k is  3 rad/s.

 

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