Solving Plank Pivot Homework: Force Magnitude & Direction

  • Thread starter shivam jain
  • Start date
In summary, a thin plank of mass m and length l is released at 60 degrees from the vertical and pivoted at one end. To find the magnitude and direction of the force on the pivot when the plank is horizontal, the equation of conservation of energy is used. The potential energy is given by mgl/2cos(theta) where theta is the angle with the vertical. By conserving energy, the net force is found to be m^2g^2 + m*omega^2*l/2 under root. However, this answer may not be correct and further reasoning is needed to determine the correct answer. It is important to note that the change in gravitational potential energy is calculated using mgh, where h is the height
  • #1
shivam jain
8
0

Homework Statement


a thin plank of mass m and length l is pivoted at 1 end.The plank is released at 60 degrees from the vertical. What is the magnitiude and direction of the force on the pivot when the plank is horizontal.




Homework Equations



conservation of energy

The Attempt at a Solution


when horizontal 2 forces mg and force of pivot. mg we know .force of pivot to find.PE=mgl/2cos theta where theta is angle with vertical.conserving energy i get mgl/2cos theta=1/2*I omega^2.then i found net force m^2 g^2+m*omega^2*l/2 whole underroot.but not getting correct answer
 
Physics news on Phys.org
  • #2
What makes you think it is not the correct answer?

reason it out - change in gravitational PE is mgh ... what did you use for h and why?
(note: cos(30)=1/2)

Where would the force on the pivot come from?
 

What is the purpose of solving Plank Pivot homework?

The purpose of solving Plank Pivot homework is to understand the concepts of force magnitude and direction and how they apply to a plank pivoting around a fixed point.

What are the key factors to consider when solving Plank Pivot homework?

The key factors to consider when solving Plank Pivot homework include the mass and length of the plank, the distance from the pivot point, and the forces acting upon the plank.

What are the steps involved in solving Plank Pivot homework?

The steps involved in solving Plank Pivot homework include drawing a free-body diagram, identifying all the forces acting on the plank, writing out the equations of motion, and solving for the unknown variables.

How do I determine the direction of the forces in a Plank Pivot problem?

The direction of the forces can be determined by using the right-hand rule, where the thumb points in the direction of the force and the fingers curl in the direction of the rotation.

What are some common mistakes to avoid when solving Plank Pivot homework?

Some common mistakes to avoid include not considering all the forces acting on the plank, not correctly identifying the direction of the forces, and not using the correct equations of motion for the given situation.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
323
  • Introductory Physics Homework Help
Replies
7
Views
2K
Replies
6
Views
803
  • Introductory Physics Homework Help
3
Replies
95
Views
4K
  • Introductory Physics Homework Help
Replies
2
Views
639
  • Introductory Physics Homework Help
Replies
9
Views
714
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
2
Replies
41
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top