1]     A 0.150 kg object tied to a string is whirled in a horizontal circle at a constant angular speed
        of 3.50 revolutions/sec. The tension in the string is 75.0 N. What is the length of the string?

        ANSWER: 1.03 m

2]     A wheel of diameter 0.80 m is initially at rest. It is then rotated with a constant angular
        acceleration of 5.0 rad/s² for exactly 10 revolutions of the wheel. Determine both the angular
        speed of the wheel and the tangential speed for a point on the edge of the wheel at the end
        of the 10 revolutions.

        ANSWER: 25 rad/s , 10 m/s

1]     A 150 gm object tied to a string is whirled in a horizontal circle such that the tension in the
        string is 75.0 N when the angular speed is 3.50 revolutions/sec. How many meters, s, does
        the object travel in 5.00 seconds? [ NOTE s is the circumferential distance traveled around
        the circle.]

3]     A uniform beam 3.00 meters long has a weight of 245 N. It is supported on its left end by a cable.
        A 500 N weight is located on the beam a distance of 1.00 meter from the left end. You supply a
        force to the right end of the beam so that the beam is in equilibrium in the horizontal position (see
        sketch). What are the tension in the cable, T, and the upward force, F, you must apply to the beam?
        {HINT : Apply the equilibrium condition for two different axis’ of rotation !!}

   
3]     A solid wood sphere floats in alcohol (r = 0.806 x 10³ kg/m³) such that exactly one half of the
        sphere is submerged in the fluid.
            A} Find the density of the wood.

                    ANSWER: 403 kg/m³

            B} Give the name and define the principle involved in the solution of this problem.

                    ANSWER: Archimedes principle

4]      A concrete canoe must be constructed such that most of its volume is air to insure that it will float in
water.  Assume such a canoe can be approximated as a uniform solid cube with sides 2.0 meters in length. 
When placed in water, the cube floats upright with its bottom 1.5 meters below the water surface.

A)    Find the average density for the concrete canoe.         ANS:    0.75 gm/cm^3

B)    Find the absolute pressure at the bottom of the canoe.       ANS:    1.16  x  10^5   Pa

3]         A uniform beam 4.00 meters long has a weight of  350 N.  It is supported at a point 1.00 meter from the right
end by a fulcrum.  A 500 N weight is located on the beam a distance of 1.00 meter from the left end.  You supply a force
directed at the right end of the beam so that the beam is in equilibrium in the horizontal position (see sketch).
Determine BOTH the force exerted by you on the right end AND the force exerted on the beam by the fulcrum. 
 
  ANS:     F =  1560 N       Fulcrum =   2200 N

M ultiple Choice

1. Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular accelerations of the point.
   1. Both are zero.
   2. Only the angular acceleration is zero.
   3. Only the linear acceleration is zero.
   4. Neither is zero.
   
   
2.  If the net torque applied to an object is zero, then that object will experience:
   1. a constant angular velocity
   2. an angular acceleration
   3. a centripetal acceleration
   4. no angular motion at all