3A 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 sin kt, 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 = 0.5 s.

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11.13 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 sin kt, 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 = 0.5 s.
Transcribed Image Text:11.13 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 sin kt, 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 = 0.5 s.
B
-x→
A
C
D
Fig. P11.13 and P11.14
Transcribed Image Text:B -x→ A C D Fig. P11.13 and P11.14
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