Forces on a hinged board used as a lever

Click For Summary
SUMMARY

The discussion focuses on a physics problem involving a 3 m board with a mass of 4.5 kg, hinged at one end, and subjected to a vertical force F to lift a 75 kg block positioned 80 cm from the hinge. The key tasks include calculating the force exerted by the hinge at a 30° angle and determining the magnitude of force F when applied perpendicularly to the board. The problem requires an understanding of static equilibrium and force components to solve for the hinge forces and the applied force F.

PREREQUISITES
  • Static equilibrium principles
  • Force component analysis
  • Torque calculations
  • Understanding of lever mechanics
NEXT STEPS
  • Study static equilibrium in physics
  • Learn about torque and its applications
  • Explore force decomposition techniques
  • Investigate real-world applications of levers in engineering
USEFUL FOR

Students studying physics, engineers working with mechanical systems, and anyone interested in understanding the mechanics of levers and forces.

ccitycoop
Messages
1
Reaction score
0
I'm having trouble with this one. Any help would be appreciated.

A 3 m board of mass 4.5 kg is hinged at one end. A force F is applied vertically at the other end to lift a 75 kg block, which rests on the board 80 cm from the hinge, as shown in Figure 12-35.

(b) Find the force exerted by the hinge at this angle. (in components)
(c) Find the magnitude of the force F if this force is exerted perpendicular to the board when = 30°.
(d) Find the force exerted by the hinge in this case (in components)
 
Physics news on Phys.org
Welcome to the Forums,

One is expected to show ones own efforts before requesting help.
 

Similar threads

Equilibrium of Forces and Torques on Sawhorses Supporting a Person on a Board
  • · Replies 6 ·
Replies
6
Views
3K
Flag pole finding horizontal force component at hinge.
  • · Replies 1 ·
Replies
1
Views
4K
Moments & Pivots: Find Force T for Level Board
  • · Replies 9 ·
Replies
9
Views
2K
What is the force exerted by each hinge on the door?
  • · Replies 3 ·
Replies
3
Views
13K
How Do You Calculate the Upward Force Needed to Keep a Board Level?
  • · Replies 4 ·
Replies
4
Views
3K
How Is the Vertical Force Calculated at the Hinge in a Beam and Sign System?
  • · Replies 8 ·
Replies
8
Views
6K
Equilibrium Problem - Balancing Torques
  • · Replies 4 ·
Replies
4
Views
3K
Calculating Torque for Lever with Weight
  • · Replies 1 ·
Replies
1
Views
2K
Static Equilibrium of hinge Question
  • · Replies 1 ·
Replies
1
Views
7K
Vector problem, magnitude of the force
  • · Replies 30 ·
2
Replies
30
Views
2K