Question

i need help with this problem, i dont know what the value is for (t) time as you solve for acceleration and velocity. please solve and explain in detail step by step on how, thanks

The Scotch-yoke mechanism to the right is a simple way to convert rotary motion into reciprocating motion. A pin at Point A is a distancer from the center of the disc rotation and rides in a slot so that it pushes the rod back and forth horizontally. The horizontal position of the slot (relative to Point O) is x=r sin(at), where wis the disc rotation speed in rad/s. Determine the expressions for the velocity and acceleration of Point Pas functions of time, and find its maximum velocity and acceleration values. Assume that r = 35 mm and the rotation speed is 900 revolutions per minute.

Answer 1

Given: - arsin (ot) 35mm, N = 900 pm Solution : .P Expressions for velocity and acceleration of point p function of time hooizontal position of slot relative to point 2- r sin (wt) velocity o en el de sinut) de cos (wtJxw. acceleration dv et (rew swt) at aa- rw? Esimwt) v 35x103 x 50w x cas (ut) w = 217 x 900 60 94.247 nad/s 85X10°3 x 94.247 V ces (24.24**o) & 3.2986 mis

Acceleration asal-rw²x sinut) I To | - 35810-3x @4:247) ?x sin (4.427X6 xo) 90 o m/s² 8.42971 mis :. point has uniform velocity of and acceleration co Nmax - Va 3.2978 mis in Maximum velocity is when However manem acceleration sin cort) = 1 amax - 135 20 9x 94.24*** !! 310.88m/ amana