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.

1.Dagwood and Blondie are driving two identical cars. Blondie is passing Dagwood at twice his speed. They apply their brakes with equal constant force and stop on the level road. Dagwood travels a distance D in a time T while braking. How long does Blondie take to stop? (A)T (B)1.4T (C)2T (D)2.8T (E)4T.

2. On a distant planet where the gravitational constant g = 6.0 m/s2, Sherlock Holmes dropped his pipe from the roof of a building. Dr. Watson, in a room below, noticed the pipe flash past a window, taking0.30 seconds to cover the 1.5 m vertical dimension of the window. Exactly 1.4 seconds after passing the bottom of the window on the way down, it passed it again on the way up, having made a perfectly elastic collision with the level ground below. Calculate the height of the building. (A) 7.1 m (B) 11.6 m (C) 9.4 m (D) 4.8 m (E) 8.5 m.

3. Two blocks are in contact on a frictionless table. A horizontal force is applied to one block as shown. If m1 = 2.0 kg, m2 = 1.0 kg, and F = 3.0 N, find the force of contact between the two blocks.(A) 1 N (B) 2 N (C) 3 N (D) 6 N(E) 9 N.

4. The accelerations of the blocks A and B respectively as scen in the situation shown in the figure are (pulleys and strings are massless and pulleys are frictionless, acceleration due to gravity is g)?(A) 2g/3 downward, g/3 upward (B) 2g/7 downward, g/7 upward (C) 2g5 downward, g/5 upward (D) 10g/13 downward, 5g/13 upward (E) A and B are at rest.

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%.

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.

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