400_Dynamics 11ed Manual

400_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 16 ⎛ rM ⎞ ⎟ ⎝ rD ⎠ αD = αM ⎜ θ= α D = 2.09 rad 2 s 1 2 αD t 2 θ = 0.67 rev Problem 16-5 If gear A starts from rest and has a constant angular acceleration αA, determine the time needed for gear B to attain an angular velocity ωB. Given: rad αA = 2 rB = 0.5 ft 2 s rad ωB = 50 s rA = 0.2 ft Solution: The point in contact with both gears has a speed of vp = ωB rB vp = 25.00 ft s Thus, ωA = So that vp ωA = 125.00 rA ω = αc t t= rad s ωA αA t = 62.50 s Problem 16-6 If the armature A of the electric motor in the drill has a constant angular acceleration αA, determine its angular velocity and angular displacement at time t. The motor starts from rest. Given: α A = 20 rad 2 t =3s s Solution: ω = αc t ω = αA t ω = 60.00 rad s 398 ...
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