Chapter 9.5, Problem 29AYU

To determine

To find: The magnitude of the force required to keep the Sienna from rolling down the hill. What is the magnitude of the force perpendicular to the hill?

Answer to Problem 29AYU

Solution:

$F=737.6\text{ lbs}$, required uphill force to prevent rolling down the hill and $F=5248.4\text{ lbs}$, required the force perpendicular to the hill.

Explanation of Solution

Given:

A Toyota Sienna with a gross weight of 5300 pounds is parked on a street with an $8^{\circ }$ grade. See the figure.

Calculation:

$F=$ Downhill force $=5300\times \text{ sin}{8}^{\circ }$

$F=737.6\text{ lbs}$, required uphill force to prevent rolling down the hill.

Perpendicular force $=5300\times \text{ cos}{8}^{\circ }$.

$F=5248.4\text{ lbs}$, required the force perpendicular to the hill.