Answer to Question #214689 in Mechanical Engineering for Zeeshan

Question #214689
The crank OP of a crank and slotted-lever mechanism as shown in figure below rotates at
100 rpm in the counter-clockwise direction. Lengths of various links are OP = 90 mm,
OA = 300 mm, AR = 480 mm and RS = 330 mm. The slider move along an axis
perpendicular to AO and is 120 mm from O. Determine the velocity of the slider during
cutting and return strokes.
1
Expert's answer
2021-07-09T16:58:03-0400

For us to obtain the velocity of the slider during cutting and return strokes we need to draw the velocity and acceleration diagrams


1unit=0.01mm1 unit = 0.01 mm\\

Velocity diagram

2.12194=8.4876m/sVp2p1=1.29294=5.1716m/s2.1219*4=8.4876 m/s\\ V_{p_2p_1}=1.2929*4=5.1716 m/s

Acceleration diagram

1.3206500=660.3m/saSR=0.1280500aSR=aRad2+aTan2(0.1280500)27.452=(αR)2α=192.621.3206*500=660.3m/s\\ a_{SR}=0.1280*500\\ a_{SR}=\sqrt{a_{Rad}^2+a_{Tan}^2}\\ (0.1280*500)^2-7.45^2=(\alpha R)^2\\ \alpha=192.62


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