Explanation Given information: The angular displacement of robotic arm is given as, θ = ( 1 π ) sin π t The arm extension is given as, r = 4 ( 1 + e − 2 t ) The velocity in radial and transverse components: v = v r e r + v θ e θ = r ˙ e r + r θ ˙ e θ Calculation: According to given information, r = 4 ( 1 + e − 2 t ) Differentiate twice, r ˙ = − 8 e − 2 t r ¨ = 16 e − 2 t Similarly, θ = ( 1 π ) sin π t Differentiate twice, θ ˙ = cos π t θ ¨ = − π sin π t According to explanation, v = v To determine (b) The acceleration of point A at t = 1.5 s ?

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Chapter 11.5, Problem 11.162P

To determine

(a)

The velocity of point A at t=1.5 s

To determine

(b)

The acceleration of point A at t=1.5 s ?

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Chapter 11.5, Problem 11.161P

Chapter 11.5, Problem 11.163P

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