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Chapter 6: Q.27 (page 155)

Bob is pulling a 30kgfiling cabinet with a force of 200N, but the filing cabinet refuses to move. The coefficient of static friction between the filing cabinet and the floor is 0.80. What is the magnitude of the friction force on the filing cabinet?

Short Answer

Expert verified

The magnitude of the friction force on the filling cabinet isfs=235.2N

Step by step solution

01

Content Introduction

The friction force is proportional to the normal force N exerted by the wall against the block. According to Newton's third law, normal force is equal to and opposite in direction to the force exerted on the wall by the block, which is dependent on F and 胃. The friction force will be directed in the opposite direction as the motion.

02

Content Explanation

We are given:

m=30kgis mass,FN=200Nis force,渭s=0.80is the coefficient of friction

The magnitude of the friction force on the filling cabinet is

fs=渭sFN鈭�fy=0

Since all forces are in equilibrium, we got

FN-mg=0FN=30脳9.81FN=294N

Solve for the magnitude of friction force on the filling cabinet,

fs=0.8脳294fs=235.2N

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