Baby Swing Design Problem: Your task is to design a baby swing to rock a baby to

Question

Baby Swing Design Problem: Your task is to design a baby swing to rock a baby to sleep. It has been determined that the optimum frequency to rock a baby to sleep is 0.637 Hz or 2/ pi Hz. A battery operated motor is utilized to provide a torque (T) that exactly cancels any friction (b) in the swing. The swing must accommodate any baby that weighs 3 kg to 14 kg The combined moment of inertia about the top pivot for the swing and baby are: J - (m + M) * L2, where the mass of the baby (m),. and the swing mass (M = 2 kg) are at the same CG location. The initial angle ( theta 0) is determined by the parent. Your task is to determine the length (L) of the seat from the pivot point such that the desired frequency is met.

Explanation / Answer

T = 1/f = /2

J= (m+2)*L2

now T= 2* (J/((m+2)*g*L))

(m+2)*g*L = J* 4**/T2

(m+2)*9.8 * L = (m+2)*L2*16

L = 0.6125 m (Ans)

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