Pen P of the flatbed plotter traces the curve y = x3/2, where x and y are measured in mm. When x = 1000 mm, the speed of slider A is 200,mm/s. For this position, calculate (a) the speed of P; and (b) the normal component of the acceleration of P.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Pen P of the flatbed plotter traces the curve y = x3/2, where x and y are measured in mm. When x = 1000 mm, the speed of slider A is 200,mm/s. For
this position, calculate (a) the speed of P; and (b) the normal component of the acceleration of P.

y=f(x)
P
A
Transcribed Image Text:y=f(x) P A
Expert Solution
Step 1

Given :->

At x = 1000 mm Vx = 200mm/s

And y = x3 / 2

Now, Vy = dy/dt = dy/dx x dx/dt [ Vx = dx/d/a]

Vy = 3x2/2 . 200 = 3 x 10002/2 x 200

Vy = 3 x 108 mm/s

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