141_Dynamics 11ed Manual

141_Dynamics 11ed Manual - a Av a Bv − = a AB 0.828 4.243...

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Engineering Mechanics - Dynamics Chapter 12 Problem 12–201 At the instant shown, the car at A is traveling at v A around the curve while increasing its speed at v' A . The car at B is traveling at v B along the straightaway and increasing its speed at v' B . Determine the relative velocity and relative acceleration of A with respect to B at this instant. Given: v A 10 m s = v B 18.5 m s = v' A 5 m s 2 = v' B 2 m s 2 = θ 45 deg = ρ 100 m = Solution: v Av v A sin () cos () = a Av v' A sin () cos () v A 2 cos () sin () + = v Bv v B 0 = a Bv v' B 0 = v AB v Av v Bv = v AB 11.43 7.07 m s = a AB
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Unformatted text preview: a Av a Bv − = a AB 0.828 4.243 − ⎛ ⎝ ⎞ ⎠ m s 2 = Problem 12–202 An aircraft carrier is traveling forward with a velocity v . At the instant shown, the plane at A has just taken off and has attained a forward horizontal air speed v A , measured from still water. If the plane at B is traveling along the runway of the carrier at v B in the direction shown measured relative to the carrier, determine the velocity of A with respect to B . 139...
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