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20. A uniform plate of mass M is placed on two fast-rotating identical wheels of radius r. The coefficients of kinetic friction between the plate and both wheels are μ, the distance between the centers of the two wheels is f, the wheel on the right (left) rotates counterclockwise (clockwise) with angular speed w (see Fig. 5), and the gravitational acceleration is denoted g. If the mass center of the plate is displaced by d from the center of the two wheels, what is the frequency the plate oscillates with? (Assuming the plate is so heavy that it always stays on the wheels.) e d r r2 w l Mg Figure 5. A plate of mass M is placed on two rotating wheels making an oscillating motion. wd 2ugd(A) ω (B) (C) (D) 2µg

19. As shown in Fig. 4, an m1 = 1.0 kg block is placed on top of an m2 = 8.0 kg block, which lies on a frictionless surface. The coefficient of kinetic friction between the two blocks is 0.20; they are connected via a pulley and a string. A hanging block of mass m3 = 6.0 kg is connected to the mass m2 block via another pulley and string. Both strings are massless and the pulleys are frictionless. What is the acceleration magnitude of the blocks? (Gravitational acceleration g =9.8 m/s²) m1 m2 M3 Figure 4. A system composed of three blocks, strings, and pulleys. (A) 3.7 m/s² (B) 2.7 m/s² (C) 9.7 m/s2 (D) 8.0 m/s²

18. The effective resistance from a to b in Fig.3 is 4.0 2.What is the resistance of individual resistors in the circuit? (The resistances of all the individual resistors are the same.) (A) 4.02(B)2.0 Ω (C) 8.0 Ω (D) 0.8 2

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