Engineering Mechanics for GATE MN 2027 | L- 9 | EQUILIBRIUM OF FORCES & FRICTION | By Pradeep Sir |

Welcome back to Lecture 9 of Engineering Mechanics for the GATE MN 2027 Exam! In this session, Pradeep Sir continues with the Statics portion of mechanics, focusing heavily on Equilibrium of Forces & Friction.

This video is packed with conceptual breakdowns and problem-solving techniques. We learn how to draw Free Body Diagrams (FBD) for complex structures involving hinges and rollers, and how to master calculating Moments (Torque) with proper sign conventions. The lecture covers classic mechanics problems, including Ladder Problems and Bar Problems, showing you exactly how to apply $\Sigma F_x = 0$, $\Sigma F_y = 0$, and $\Sigma M = 0$ to find unknown support reactions.

What you will learn in this video:How to handle Hinge and Roller supports in Free Body Diagrams.
The mechanics of Moment calculation: Clockwise vs. Anti-clockwise conventions.How to find perpendicular distance for force vectors.Step-by-step solutions to classical Ladder friction problems.Solving Bar and Beam problems with inclined forces to find support reactions.

⏱️ Video Chapters:
[00:05] Recap & Introduction to Today's Topics[
01:53] Understanding Hinge and Roller Supports (FBD Basics)
[04:19] How to Calculate Moments (Torque) & Sign Conventions
[16:21] Practice Problems: Calculating Moments
[23:00] The Ladder Problem: Setup, Friction Directions & FBD
[34:04] Solving the Ladder Problem ($\Sigma F_x, \Sigma F_y, \Sigma M = 0$)
[46:44] Bar/Beam Problems with Hinge & Roller Supports
[52:13] Numerical 1: Support Reactions for a Beam with an Inclined Force (60° to Horizontal)[01:01:47] Numerical 2: Support Reactions with Force Inclined 60° to Vertical
[01:08:28] Homework Problem & Conclusion

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Видео Engineering Mechanics for GATE MN 2027 | L- 9 | EQUILIBRIUM OF FORCES & FRICTION | By Pradeep Sir | канала MINING GYAN