A forklift is used to offload freight from a delivery truck. Together the forklift and its contents weigh 800 lb, and the weight is evenly distributed among four wheels. The ramp is inclined 14° from the horizontal. a. Write the force vector F in terms of i and j representing the weight against a single tire. b. Find the component vector of F parallel to the ramp. c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp.
A forklift is used to offload freight from a delivery truck. Together the forklift and its contents weigh 800 lb, and the weight is evenly distributed among four wheels. The ramp is inclined 14° from the horizontal.
a. Write the force vector F in terms of i and j representing the weight against a single tire.
b. Find the component vector of F parallel to the ramp.
c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp.
The total weight of the forklift is
The inclination of the ramp
The weight of the forklift as experienced by a single tire represented by the force in terms of components parallel and perpendicular to the ramp can be written as,
The total weight of the forklift is evenly distributed among the four tires and it is directed downwards towards the Earth. So the magnitude of the total force experienced by a single tire can be calculated as,
The component of parallel to the ramp can be calculated as,
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