The slotted link is pinned at O, and as a result of rotation it drives the peg P along the horizontal guide. Compute the magnitude of the velocity and acceleration of P along the horizontal guide. Compute the magnitudes of the velocity and acceleration of P as a function of θ if θ=(3t) rad, where t is measured in seconds.

Find attached of the diagram that complete the question.

Velocity = 1.5 sec²θ m/s

Acceleration = 9 sec²θtanθ m/s²

Explanation:

Calculating the velocity:

V = dx/dt

x = 0.5tanθ

θ = 3t

ö = 3

V = d(0.5tanθ)/dt

   = 0.5*sec²θ*ö

   = 3*0.5sec²θ

  = 1.5 sec²θ m/s

Calculating the acceleration, we have;

a = dv/dt

 = d(1.5sec²θ)/dt

 = 1.5*2sec²θtanθ*ö

 = 1.5*2sec²θtanθ*3

 = 9sec²θtanθ m/s²

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