**Problem 56:**A forklift is used to unload 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. Round values to 1 decimal place.c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp. Round to the nearest pound.**Diagram Explanation:**The diagram shows a forklift on an inclined ramp. The forklift is represented in red, while the ramp is blue. Two forces are shown at the point of contact between the tire and ramp:- **F**: The overall force vector acting downward due to the weight of the forklift.- **F₁**: The horizontal component parallel to the ramp.- **F⊥**: The perpendicular component against the ramp.These forces illustrate how the weight of the forklift is distributed across the components parallel and perpendicular to the ramp.

a. The force vector in terms of i and j can be represented as shown below. F=F1+F2=mgsinθi^-mgcosθj^ b. The component of vector F that horizontal to the ramp is F∥=mgsinθ=800 lb0.454 kg1 lb9.80 m/s2sin14°=861.1 N c. The force of friction makes the forklift from rolling down and it is equal to the horizontal component of the force and it rounded 861 N as rounded to the nearest pound.

Science

Physics

56. A forklift is used to offload freight from a delivery truck. Together the forklift and its contents weigh 800 Ib, and the weight is evenly distributed among four wheels. The ramp is inclined 14° from the horizontal. F F, 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. Round values to 1 decimal place. c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp. Round to the nearest pound.

56. A forklift is used to offload freight from a delivery truck. Together the forklift and its contents weigh 800 Ib, and the weight is evenly distributed among four wheels. The ramp is inclined 14° from the horizontal. F F, 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. Round values to 1 decimal place. c. Find the magnitude of the force needed to keep the forklift from rolling down the ramp. Round to the nearest pound.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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