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.
Calculus lll
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3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis
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