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APCh11+13Test2006 - Physics AP v v d = dt I = I cm md 2 v v...

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Physics AP Test: Chapter 11 Form 1 d = dt θ ϖ v v d = dt ϖ α v v 2 I = r dm 2 cm I I md = + 2 1 2 disk I mr = 2 12 1 mL I rod = x k F e = r F τ = × v v v sin Fr τ θ = I τ α = v v 2 1 2 t K mv = 2 1 2 r K I ϖ = 2 1 2 e U k x = g U mgh = The blade of a blender has an initial angular velocity of 900 rad/s upward. 1) If after 20 seconds of constant angular acceleration the blade’s angular velocity is 100 rad/s [D], how many rotations has the blade completed? 2) If the downward angular acceleration is given by α = ϖ / k (where k = 1.0 x 10 4 s) what is the angular acceleration of the blade at the instant it has completed 3000 revolutions? A block of mass m 1 = 50 kg on a long, frictionless inclined plane is connected to a massless rope which is passed over a large pulley. The pulley is a solid cylinder of mass m = 100 kg and radius r = 0.50 m. The other end of the rope is connected to a block of mass m 2 = 75 kg suspended vertically from the pulley, as shown at right. The inclined plane makes an angle θ = 30º to the horizontal.
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