Calculating Force for Lever Push - 600N

  • Context: MHB 
  • Thread starter Thread starter mathmari
  • Start date Start date
  • Tags Tags
    Force
Click For Summary
SUMMARY

The discussion focuses on calculating the force required to push down a lever to achieve a brake force of 600N, given a friction coefficient of 1.2. The lever lengths are specified as 60 cm (a) and 1.3 m (b). The correct approach involves applying static equilibrium conditions, including the sum of horizontal forces, vertical forces, and moments. The equation to determine the necessary force ($F_1$) is established as $(a+b)F_1 > F_2 \cdot 1.2 \cdot a$, but it is clarified that this inequality does not hold true.

PREREQUISITES
  • Understanding of static equilibrium conditions in physics
  • Knowledge of force and torque calculations
  • Familiarity with friction coefficients and their applications
  • Basic principles of levers and mechanical advantage
NEXT STEPS
  • Study the principles of static equilibrium in detail
  • Learn about torque calculations and their applications in mechanical systems
  • Explore the effects of friction in mechanical systems and how to calculate it
  • Investigate different types of levers and their mechanical advantages
USEFUL FOR

Students and professionals in physics, mechanical engineering, and anyone involved in designing or analyzing mechanical systems that utilize levers and friction.

mathmari
Gold Member
MHB
Messages
4,984
Reaction score
7
Hey! :o

With a simple brake block we want to produce brakeforce of 600N. The friction number is 1,2. Which has to be the $F_1$ so that the lever can be pushed down??
a=60 cm, b=1,3 m

View attachment 4340

Does the following have to stand??

$$(a+b)F_1>F_2 \cdot 1,2 \cdot a$$
 

Attachments

  • TPhoto_00131.jpg
    TPhoto_00131.jpg
    24.1 KB · Views: 97
Mathematics news on Phys.org
Hi! (Wave)

mathmari said:
Does the following have to stand??

$$(a+b)F_1>F_2 \cdot 1,2 \cdot a$$

No. This will not be true. (Worried)

The method to solve a problem like this, is:
  1. Make an inventory of all external forces. Which 3rd force is there? (Wondering)
  2. Apply the static equilibrium conditions:
    1. Sum of the horizontal forces is zero.
    2. Sum of the vertical forces is zero.
    3. Sum of the moments (also known as torques) is zero.
    What are the resulting equations? (Wondering)
  3. Solve the equations.
  4. Repeat for the lever only (without the wheel).
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
21
Views
2K
  • · Replies 28 ·
Replies
28
Views
2K
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K