Math Problem Statement
Solve
Solution
To solve this, let's analyze the given problem step by step:
Problem Description: A bar of 5 m in length is pivoted at the extreme right. A force of 10 N is applied vertically upward at the extreme left. The problem asks for the torque (moment of force) caused.
Formula for Torque (Moment of Force):
Where:
- is the torque,
- is the force applied (),
- is the perpendicular distance from the pivot to the line of action of the force ().
Step-by-step Calculation:
Direction of the Torque:
The force applied is vertically upward at the left end, causing a counterclockwise rotation about the pivot point. In terms of clock movement:
- Counterclockwise = "contre le sens des aiguilles d'une horloge"
Correct Answer:
The moment of force is:
Let me know if you'd like further details or clarification!
Here are 5 related questions for better understanding:
- How does changing the point of application of the force affect the torque?
- What happens to the torque if the force is applied at an angle instead of vertically?
- How would you calculate the torque if multiple forces act on the bar?
- What is the physical meaning of the direction of torque in real-life applications?
- Can torque exist without a pivot point?
Tip: Always ensure the distance is perpendicular to the force applied when calculating torque!
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Math Problem Analysis
Mathematical Concepts
Torque
Force and Distance Relationship
Rotational Motion
Formulas
Torque = Force × Distance
Theorems
Principle of Torque Calculation
Suitable Grade Level
High School (Grades 9-12)