ADDITIONS TO HRW PROBLEMS AND PROBLEMS FROM OTHER TEXTS
                               
                          MAY 28 - JUNE 3
        
        HRW - CHAPTER 2
        12. (g) Find the acceleration of the particle at t = 10 s.
 
        HRW - CHAPTER 3
        24. (d) Also find the solution graphically.

        FISHBANE - CHAPTER 3
        14. A particle moves in such a way that its coordinates are 
            x(t) = (A)cos(wt) and  y(t) = (A)sin(wt), where "w" stands for 
            the Greek letter omega.  Calculate the x- and y-components of 
            the velocity and the acceleration of the particle.
        
        28. A man in the crow's nest of a sailing ship moving through smooth 
            seas at a steady 12 km/h accidentally lets a cannonball drop from 
            his station, which is 8.5 m above the deck at the top of the 
            mainmast.  (a) Assuming that he dropped the ball from a position 
            immediately adjacent to the vertical mast, where does the ball 
            land with respect to the mast?  (b) How long does it take for the 
            ball to fall to the deck?  (c) In the time it takes the ball to 
            fall, what is the magnitude of the displacement of the ball as 
            measured by the fixed observer?

        60. An airplane is to fly due north from New Orleans to St. Louis, 
            a distance of 673 mi.  On that day and at the altitude of the 
            flight, a wind blows from the west at a steady speed of 65 mi/h.  
            The airplane can maintain an air speed of 180 mi/h.  Ignore the 
            periods of takeoff and landing.  (a) In what direction must the 
            airplane fly in order to arrive at St. Louis without changing 
            direction?  Draw a diagram and label this direction with an 
            angle.  Would this calculation change if the distance between 
            the cities were twice as great?  (b) What is the flying time for 
            this flight? (c) Recalculate the flying time if the arplane heads 
            due north until it reaches the latitude of St. Louis, and then 
            flies due west, into the wind to reach the city.

        65. A boat is required to traverse a river that is 150 m wide.  The 
            current in the river moves with a speed of 6 km/h.  The boat can be 
            rowed on still water with a speed of 10 km/h.  Set up a convenient 
            coordinate system in which to describe the various displacements.  
            Using this coordinate system, write down the position vector of the 
            boat at time t, assuming that the boat moves with uniform speed and 
            that it leaves one side with the velocity vector making an angle 
            theta with the direction of the river.  Calculate theta such that 
            the boat lands at a point exactly opposite the starting point.  How 
            long will the trip take?

        SERWAY - CHAPTER 3 
        62. After delivering his toys in the usual manner, Santa decides to have 
            some fun and slide down an icy roof.  The roof is 8 m in length and 
            makes an angle of 37 degrees with the horizontal.  He starts from 
            rest at the top of the roof and accelerates at the rate of 5 m/s^2.  
            The edge of the roof is 6 m above a soft snowbank, on which Santa 
            lands.  Find (a) Santa's velocity components when he reaches the 
            snowbank, (b) the total time he is in motion, and (c) the horizontal 
            distance d between the house and the point where he lands in the snow.

        FISHBANE - CHAPTER 4
        24. (The figure for this problem is HRW Fig. 5-27, on page 92. Only the 
            masses are different.)  A force of magnitude 8.0 N pushes on a 
            horizontally stacked set of blocks on a frictionless surface with 
            masses m1 = 2.0 kg, m2 = 3.0 kg, and m3 = 4.0 kg.  (a) What is the 
            acceleration of the stack?  (b) What are the forces on block 1, as 
            well as the net force on this block.  (c) Repeat part b for block 2.  
            (d) Repeat part b for block 3.

        26. Repeat problem 24, but this time with the blocks stacked in reverse 
            order; that is, block 3 to the left and block 1 to the right.