How to Calculate Equivalent Torque Distance on a Pivoting Rod?

  • Thread starter Thread starter PrideofPhilly
  • Start date Start date
  • Tags Tags
    Torque
Click For Summary
SUMMARY

The discussion focuses on calculating the equivalent torque distance on a pivoting rod when a force F is applied at an angle theta. The torque (t) is defined by the equation t = rF, where r is the distance from the pivot to the point of force application. The participant proposes that the equivalent distance (d) for the same torque is given by d = Lsin(theta), which is accurate when considering the force applied horizontally. The conclusion emphasizes that at a 90-degree angle, the force is fully effective in generating torque.

PREREQUISITES
  • Understanding of torque and its calculation using the formula t = rF
  • Knowledge of trigonometric functions, specifically sine
  • Familiarity with the concept of pivoting rods in physics
  • Basic principles of rotational motion
NEXT STEPS
  • Study the implications of torque in rotational dynamics
  • Explore the application of trigonometric functions in physics problems
  • Investigate the effects of varying angles on torque generation
  • Learn about frictionless pivot systems and their characteristics
USEFUL FOR

Physics students, mechanical engineers, and anyone studying rotational dynamics and torque calculations.

PrideofPhilly
Messages
37
Reaction score
0

Homework Statement



A rod can pivot at one end and is free to rotate without friction about a vertical axis. A force F is applied at the other end, at an angle theta to the rod. If F were to be applied perpendicular to the rod, at what distance d from the axis of rotation should it be applied in order to produce the same torque t?

Homework Equations



t = rF

The Attempt at a Solution



My answer: d = Lsin(theta).

Is that correct or am I missing something?
 
Physics news on Phys.org
If the force is applied horizontally this would be true.

When the angle is 90 degrees the force would be fully engaged in developing torque at that displacement.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
1
Views
2K