A pendulum consists of a weight suspended from a llght string. At the instant shown, the pendulum is traveling at velocity v as shown by the arrow. Which of the following Is a valld force dlagram for the weight?
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- Which of the following best shows the force triangle of forces P and S, the weight of the box W, and their resultant R?In the pulley system illustrated, the coefficient of friction between the block and table is 0.555. Whatis the magnitude of acceleration experienced by the masses?A large rocket has a mass of 2.00106kgat takeoff, and its engines produce a thrust of 3.50107N . (a) Find its initial acceleration if it takes off vertically. (b) How long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust?
- Check Your Understanding Calculate the acceleration of the system, and the tension in the string, when the masses are andCheck Your Understanding Find the terminal velocity of a 50-kg skydiver falling in spread-eagle fashion.If the rocket sled shown in the previous problem starts with only one rocket burning, what is the magnitude of this acceleration? Assume that the mass of the system is 2.10103kg , the thrust Tis 2.40104N , and the force of friction opposing the motion is 650.0 N. (b) Why is the acceleration n one-fourth of what it is with all rockets burning?
- Show that the acceleration of any object down an incline where friction behaves simply (that Is, where fk=kN ) is a=(sinkcos) . Note that the acceleration Is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (k=0) .If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the 3.00103-kgbarge with a force of 20.0103N , what are the acceleration of the barges and the tension in the coupling cable?A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD=bv , where bis a constant and vis the velocity. If b=0.750 , and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.
- Check Your Understanding Find the direction of the resultant for the 1.50-kg model helicopter.What properties do forces have that allow us to classify them as vectors?What horizontal forcemust be applied to a largeblock of mass M shown inFigure P4.85 so that theblocks remain stationaryrelative to M? Assume allsurfaces and the pulley arefrictionless. Notice that theforce exerted by the string accelerates m2.