Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 1 - Vectors - 1.4 Applications - Exercises 1.4 - Page 54: 8

Answer

The net force applied on the body is 50 N.

Work Step by Step

Given that the block of weighs 10 kg on a slant with an inclination of $\theta=30^{\circ}$ The net resultant on the block due to gravitation is $R=10\times10=100N$ We break this into components: i) component applied normal to the block surface: $100\cos30^{\circ}$ ii) component opposite to the force: $100\sin30^{\circ}=50$ So, the net force applied on the body is 50 N.
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