   # Consider the rectangular cabinet of Problem 36 shown in Figure P12.36, but with a force F → applied horizontally at the upper edge. (a) What is the minimum force required to start to tip the cabinet? (b) What is the minimum coefficient of static friction required for the cabinet not to slide with the application of a force of this magnitude? (c) Find the magnitude and direction of the minimum force required to tip the cabinet if the point of application can be chosen anywhere on the cabinet. 36. Why is the following situation impossible? A worker in a factory pulls a cabinet across the floor using a rope as shown in Figure P12.36a. The rope make an angle θ = 37.0° with the floor and is tied h 1 = 10.0 cm from the bottom of the cabinet. The uniform rectangular cabinet has height ℓ = 100 cm and width w = 60.0 cm, and it weighs 400 N. The cabinet slides with constant speed when a force F = 300 N is applied through the rope. The worker tires of walking backward. He fastens the rope to a point on the cabinet h 2 = 65.0 cm off the floor and lays the rope over his shoulder so that he can walk forward and pull as shown in Figure P12.36b. In this way, the rope again makes an angle of θ = 37.0° with the horizontal and again has a tension of 300 N. Using this technique, the worker is able to slide the cabinet over a long distance on the floor without tiring. Figure P12.36 Problems 36 and 44. ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 12, Problem 44AP
Textbook Problem
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## Consider the rectangular cabinet of Problem 36 shown in Figure P12.36, but with a force F → applied horizontally at the upper edge. (a) What is the minimum force required to start to tip the cabinet? (b) What is the minimum coefficient of static friction required for the cabinet not to slide with the application of a force of this magnitude? (c) Find the magnitude and direction of the minimum force required to tip the cabinet if the point of application can be chosen anywhere on the cabinet.36. Why is the following situation impossible? A worker in a factory pulls a cabinet across the floor using a rope as shown in Figure P12.36a. The rope make an angle θ = 37.0° with the floor and is tied h1 = 10.0 cm from the bottom of the cabinet. The uniform rectangular cabinet has height ℓ = 100 cm and width w = 60.0 cm, and it weighs 400 N. The cabinet slides with constant speed when a force F = 300 N is applied through the rope. The worker tires of walking backward. He fastens the rope to a point on the cabinet h2 = 65.0 cm off the floor and lays the rope over his shoulder so that he can walk forward and pull as shown in Figure P12.36b. In this way, the rope again makes an angle of θ = 37.0° with the horizontal and again has a tension of 300 N. Using this technique, the worker is able to slide the cabinet over a long distance on the floor without tiring.Figure P12.36 Problems 36 and 44. (a)

To determine

The minimum force required to start to tip the cabinet.

### Explanation of Solution

The weight of the cabinet is 400N, width of the cabinet is 60cm, length of the cabinet is 100cm and the force is applied at the horizontally at the upper edge.

The following figure shows the force diagram of the cabinet.

Formula to calculate the net torque about the point O is,

Fl+mg(w2)=0

Here, F is the force required to tip the cabinet, l is the length of the cabinet, mg is the weight of the cabinet and w is the width of the cabinet

(b)

To determine

The minimum required coefficient of static friction for the cabinet to not slide.

(c)

To determine

The direction and magnitude of the minimum force required to tip the cabinet when the point of application is chosen anywhere on the cabinet.

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