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# pin P travels on a wire whose shape is given by y = (x^2)/2 . pin P is also constrained to move within a slot in guide B ( in can only move in the x...

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pin P travels on a wire whose shape is given by y = (x^2)/2 . pin P is also constrained to move within a slot in guide B ( in can only move in the x direction) where the guide has a constant speed of Vb = 10ft/s to the right. At the position shown, x= 2 ft. for this position , find the velocity and acceleration of P. Write you r answers as vectors in Cartesian coordinates . Sketch the velocity and acceleration vectors in the figure. Determine the rate of chance of speed of P.

Solutions 1. The equation of the parabola is given to be
y = 0.5x2 (1) . Let at any instant of time, the position vector of P(x,y) be r. Then
r = x ˆ + y ˆ. Velocity,
i
j
v= dx ˆ
dy ˆ
dr
=
i+...

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