111_Dynamics 11ed Manual

111_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 12 Solution: z= h 2π z' = θ h θ' 2π 2 v= z' + ( rθ' ) = ⎛ h ⎞ + r2 θ' ⎜⎟ ⎝ 2π ⎠ θ' = v θ' = 1.304 2 2 2 rad s ⎛ h ⎞ + r2 ⎜⎟ ⎝ 2π ⎠ a = −r θ' 2 a = 2.55 m 2 s Problem 12–154 A cameraman standing at A is following the movement of a race car, B , which is traveling along a straight track at a constant speed v. Determine the angular rate at which he must turn in order to keep the camera directed on the car at the instant θ = θ1. Given: v = 80 Solution: ft θ 1 = 60 deg s a = 100 ft θ = θ1 a = r sin ( θ ) 0 = r' sin ( θ ) + rθ' cos ( θ ) x = r cos ( θ ) vx = −v = r' cos ( θ ) − rθ' sin ( θ ) Guess r = 1 ft r' = 1 ft s θ' = 1 rad s Given a = r sin ( θ ) 109 ...
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