Question

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.

Answer 1

Find attached of the diagram that complete the question.

Velocity = 1.5 sec²θ m/s

Acceleration = 9 sec²θtanθ m/s²

Step-by-step 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