Chapter 3 Vectors
... Many aspects of physics involve a description of a location in space. In Chapter 2, for example, we saw that the mathematical description of an object’s motion requires a method for describing the object’s position at various times. This description is accomplished with the use of coordinates, and i ...
... Many aspects of physics involve a description of a location in space. In Chapter 2, for example, we saw that the mathematical description of an object’s motion requires a method for describing the object’s position at various times. This description is accomplished with the use of coordinates, and i ...
CONSERVATION of MOMENTUM
... was converted to kinetic energy in a system (mass bucket + cart). That system was acted upon by a conservative external net force (gravity), as well as a nonconservative force (friction). This week you will examine a system in which there is again friction, but no conservative external net force. Th ...
... was converted to kinetic energy in a system (mass bucket + cart). That system was acted upon by a conservative external net force (gravity), as well as a nonconservative force (friction). This week you will examine a system in which there is again friction, but no conservative external net force. Th ...
Case Study: Space Flight and Control Systems
... one of the vectors x0 , x1 , x2 , … xn for a suitable control sequence u0 , u1 , u2 , … un. Notice that each of the vectors xk is a linear combination of the columns of the matrices B, AB, A2B,. . . , An-1B because each term in the sum for xk is one of these matrices times a vector uj of weights. Al ...
... one of the vectors x0 , x1 , x2 , … xn for a suitable control sequence u0 , u1 , u2 , … un. Notice that each of the vectors xk is a linear combination of the columns of the matrices B, AB, A2B,. . . , An-1B because each term in the sum for xk is one of these matrices times a vector uj of weights. Al ...
Exercises for Notes IV
... Exercise 1.7 Dave wants to hang a door that has a mass m and a width L. The door will connect to the wall at two hinges, which are separated by a distance d as shown in the figure. What are the maximum forces that the top hinge must exert on the door? Lets identify all the forces on the door: The we ...
... Exercise 1.7 Dave wants to hang a door that has a mass m and a width L. The door will connect to the wall at two hinges, which are separated by a distance d as shown in the figure. What are the maximum forces that the top hinge must exert on the door? Lets identify all the forces on the door: The we ...
Chapter 19 Angular Momentum
... Example 19.4 Meteor Flyby of Earth A meteor of mass m = 2.1 × 1013 kg is approaching earth as shown in Figure 19.10. The distance h is called the impact parameter. The radius of the earth is re = 6.37 × 10 6 m . The mass of the earth is me = 5.98 × 10 24 kg . Suppose the meteor has an initial speed ...
... Example 19.4 Meteor Flyby of Earth A meteor of mass m = 2.1 × 1013 kg is approaching earth as shown in Figure 19.10. The distance h is called the impact parameter. The radius of the earth is re = 6.37 × 10 6 m . The mass of the earth is me = 5.98 × 10 24 kg . Suppose the meteor has an initial speed ...
