The man in the diagram is trying to move a large box by pushing on it with a force, P. The box weighs W = 300 N and its center of gravity is located in the center of the box (point C). Given: The coefficient of static friction between the box and the floor is μ = 0.3. Dimensions: a = 1.8 m, b = 0.6 m, h = 0.9 m.
We want to know whether the box will move if P = 60 N.
Scenario 1: Box remains stationary
First, let us consider the case of the box remaining stationary. You will need to calculate the friction force and normal force under this condition. Then consider how far from the center line of the box does the normal force act?
First, calculate the magnitude of the friction force (between the box and the floor) generated under Scenario 1. Please include the unit (N) within your answer and round to 3 significant figures (e.g., if the calculated answer was 55.562 Newtons, please input: 55.6 N).
Answer:
Calculate the magnitude of the normal force acting under the box. Please include the unit (N) within your answer and round to 3 significant figures (e.g., if the calculated answer was 55.562 Newtons, please input: 55.6 N).
Answer:
Calculate the location of the normal force - find its horizontal distance from the box center line. Please include the unit (m) within your answer and round to 3 significant figures (e.g., if the calculated answer was 55.562 meters, please input: 55.6 m).
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