ADDITIONS TO WOLFSON PROBLEMS AND PROBLEMS FROM OTHER TEXTS
                               
                          MAY 31 - JUNE 6
        
        WOLFSON CHAPTER 3
        21. (c) Also find the solution graphically.  (d) If your
            walking speed was a constant 1 km/hr, what was your
            average velocity after completing the first two legs 
            of the trip.

        55. Assume the clock is a wall clock and you are facing it.
            Take the time interval as starting at 12.5 s and ending
            at 17.5 s.  In (a) and (b) give not only the magnitude
            of the vectors but also the direction.

        FISHBANE - CHAPTER 2
        22. Inclined planes are convenient tools to study motion
            under a constant acceleration.  The time of passage of
            a ball rolling on an inclined plane is measured by 
            three light gates positioned 60 cm apart.  The ball
            passes the light gates at 0.30 s, 1.15 s, and 1.70 s.
            Find the acceleration of the ball. 

        HALLIDAY AND RESNICK - 2ND Ed. - CHAPTER 2
        65. A drowsy cat spots a flowerpot that sails first up and
            then down past an open window.  The pot is in view for
            a total of 0.50 s, and the top-to-bottom height of the
            window is 2.00 m.  How high above the window top does 
            the flowerpot go?

        HALLIDAY AND RESNICK - 2ND Ed. - CHAPTER 3
         6. A particle had a velocity of 18 m/s and 2.4 s later its
            velocity was 30 m/s in the opposite direction.  What was
            the average acceleration of the particle during this
            2.4 s interval?

        39. The position of a particle moving along the x axis is
            given in centimeters by x = 9.75 + 1.50(t^3), where t
            is in seconds.  Consider the time interval t=2 s to 
            t=3 s and calculate (a) the average velocity; (b) the
            instantaneous velocity at t=2 s; (c) the instantaneous
            velocity at t=3 s; (d) the instantaneous velocity at 
            t=2.5 s; (e) the instantaneous velocity when the 
            particle is midway between its positions at t=2 s and
            t=3 s. (f) Graph x vs t and indicate your answers
            graphically.  (g) Find the acceleration of the particle 
            at t = 10 s.
 
        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 airplane 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 Wolfson Fig. 5-36, on page 118. Only 
            the numbers are different.)  Part I:  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 horizontal 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.   Part II: Repeat Part I, 
            but this time with the blocks stacked in reverse order; that is, 
            block 3 to the left and block 1 to the right.  The 8.0 N force is
            still pushing from the left (so it is now pushing on block 3).

        HALLIDAY AND RESNICK - 2ND Ed. - CHAPTER 5
        14. A 29.0 kg child, with a 4.50 kg backpack on his back, first stands
            on a sidewalk and then jumps up into the air.  Find the magnitude
            and direction of the force on the sidewalk from the child when the
            child is (a) standing still and (b) in the air.  Now find the
            magnitude and direction of the net force ON the Earth due to the
            child when the child is (c) standing still and (d) in the air.
            (Note: the sidewalk is a part of the Earth.)  FBD's are required
            in your work for this problem.

        27. A firefighter with a weight of 712 N slides down a vertical pole
            with an acceleration of 3.00 m/s^2, directed downward.  What are
            the magnitudes and directions of the vertical forces (a) on the
            firefighter by the pole and (b) on the pole by the firefighter?  
            FBD's are required in your work for this problem.

        50. The figure below shows a man sitting in a bosun's chair that
            dangles from a massless rope, which runs over a massless,
            frictionless pulley and back down to the man's hand.  The
            combined mass of man and chair is 95.0 kg.  WIth what force
            magnitude must the man pull on the rope is he is to rise
            (a) with a constant velocity and (b) with an upward acceleration
            of 1.30 m/s^2.

              Suppose, instead, that the rope on the right extends to the
            ground, where it is pulled by a co-worker.  With what force
            magnitude must the co-worker pull for the man to rise
            (c) with a constant velocity and (d) with an upward acceleration
            of 1.30 m/s^2.
 
              What is the magnitude of the force on the ceiling from the
            pulley system in (e) part a, (f) part b, (g) part c, and
            (h) part d?

            figure gif version pdf version