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Chapter 6: Q.6 (page 154)

A construction worker with a weight of 850N stands on a roof that is sloped at 20掳. What is the magnitude of the normal force of the roof on the worker?

Short Answer

Expert verified

The roof's normal force on the worker is of the magnitude798.74N.

Step by step solution

01

Magnitude : 

The greatest extent of size and direction of an item is defined as magnitude.

02

Explanation : 

Weight of construction worker = 850N,

Slope of the roof = 20掳.

The gymnast's free body diagram is given below,

The force equation in the roof's usual direction,

-Wcos+N=0

W= construction worker's weight,

胃= slope of the roof,

N= the roof's normal force on the worker.

Substitute 850Nfor Wand 20掳for 胃to find N.

-850Ncos20掳+N=0N=850N0.939=798.74N

Hence, the roof's normal force on the worker is of the magnitude 798.74N.

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