A van weighing 2200 lb is parked on a street with an 8 ° incline. a. Write the force vector F representing the weight against a single tire. Write F in terms of i and j and assume that the weight of the van is evenly distributed among all four tires. b. Find the component vector, F 1 of F parallel to the street. Round to 1 decimal place. c Find the magnitude of the force required by the brakes on each wheel to keep the truck from rolling down the street. Round to the nearest tenth of a pound.
A van weighing 2200 lb is parked on a street with an 8 ° incline. a. Write the force vector F representing the weight against a single tire. Write F in terms of i and j and assume that the weight of the van is evenly distributed among all four tires. b. Find the component vector, F 1 of F parallel to the street. Round to 1 decimal place. c Find the magnitude of the force required by the brakes on each wheel to keep the truck from rolling down the street. Round to the nearest tenth of a pound.
Solution Summary: The author calculates the force F for a van weighing 2200lb, assuming that the weight of the van is evenly distributed among all the four tires.
A van weighing
2200
lb
is parked on a street with an
8
°
incline.
a. Write the force vector F representing the weight against a single tire. Write F in terms of i and j and assume that the weight of the van is evenly distributed among all four tires.
b. Find the component vector,
F
1
of F parallel to the street. Round to 1 decimal place.
c Find the magnitude of the force required by the brakes on each wheel to keep the truck from rolling down the street. Round to the nearest tenth of a pound.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.