5. For the conical pendulum shown, the 0.40 kg mass has a periodic time of 1.90 s. What is the tension in the string? (Answer in N.)

(A) 3.92
(B) 4.37
(C) 5.69
(D) 6.48
(E) 7.85.

6. An astronaut, spaced out as usual, sits in her room at position "F" on the outer rim of a wheel-shaped station as shown. Gravitational forces are negligible. The station rotates about its axis 100 times each hour as shown. She weighed 900 N on earth. Her mass has not changed, but when she stands on a spring scale at "F" it correctly reads 1000 N. Calculate the radius of the station. Answers in meters.(A) 400 (B) 360 (C) 330 (D) 280 (E) 260.

7. A piece of thin uniform wire of mass m and length 3b is bent into an equilateral triangle. Find the moment of inertia of the wire triangle about an axis perpendicular to the plane of the triangle and passing through one of its vertices. (A)2mb2/3(B) 7mb2/4(C) 1mb2/3 (D) 1mb2/4(E) 1mb2/2.

8.A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center. A uniform solid cylinder of mass M, radius R, and length 2R rotates through an axis running through the central axis of the cylinder. What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere? (A)2ω/5(B) (C) 4ω/5(D)(E)

9. A record is dropped vertically onto a freely rotating (undriven) turntable. Frictional forces act to bring the record and tumntable to a common angular speed. If the rotational inertia of the record is 0.54 times that of the turntable, what percentage of the initial kinetic energy is lost? (A) 10% (B) 35% (C) 18% (D) 46% (E) 60%.

10. In the figure, a mass of 31.77 kg is attached to a light string that is wrapped around a cylindrical spool of radius 10.0 cm and moment of inertia 4.00 kg ㆍ m2. The spool is suspended from the ceiling, and the mass is then released from rest a distance 5.70 m above the floor. How long does it take to reach the floor?  (A) 10.83 s (B) 3.98 s (C) 1.14 s (D) 5.59 s (E) 7.89 s.

11. A uniform sign is supported against a wall at point P as shown in the figure. If the sign is a square 0.4 m on a side and its mass is 4.0 kg, what is the magnitude of the horizontal force that the wall at P experiences? (A) 5.8 N (B) 10.0 N (C) 20 N (D) 98 N (E) 75 N.

12. A 2.0 kg block on a frictionless table is connected to two ideal massless springs with spring constants k1 and k2 whose opposite ends are fixed to walls, as shown in the figure. What is the angular frequency of the oscillation if k1=7.6 Nm and k2=5.0 N/m?(A) 2.5 rad/s (B) 3.5 rad/s (C) 0.40 rad/s (D) 0.56 rad/s(E) 5.5 rad/s.

13. In the figure, two masses, M = 16 kg and m = 12.8 kg, are connected to a very light rigid bar and are attached to an ideal massless spring of spring constant 100 N/m. The system is set into oscillation with an amplitude of 78 cm. At the instant when the acceleration is at its maximum, the 16-kg mass separates from the 12.8-kg mass, which then remains attached to the spring and continues to oscillate. What will be the amplitude of oscillation of the 12.8-kg mass?(A) 35 cm (B) 62 cm (C) 78 cm (D) 98 cm (E) 110 cm.

14. A standing wave is oscillating at 690 Hz on a string, as shown in the figure. What is the speed of traveling waves on this string?(A) 140 m/s (B) 210 m/s (C) 280 m/s (D) 340 m/'s (E) 410 m/s. 60cm

16. Consider a very small hole in the bottom of a tank 20.0 cm in diameter filled with water to a height of 50.0 cm. Find the speed at which the water exits the tank through the hole. (A) 1.8 m/s (B) 3.13 m/s (C) 5.10 m/s (D) 9.4 m/s (E) 14.9 m/s.

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