Solution Found!
You want to nail a 1.6-kg board onto the wall of a barn.
Chapter 6, Problem 40P(choose chapter or problem)
IP You want to nail a board onto the wall of a barn. To position the board before nailing,you push it against the wall with a horizontal force \(\mathrm {\vec F}\) to keep it from sliding to the ground (Figure 6-28). (a) If the coefficient of static friction between the board and the wall is , what is the least force you can apply and still hold the board in place? (b) What happens to the force of static friction if you push against the wall with a force greater than that found in part (a)?
Equation Transcription:
Text Transcription:
vec{F}
vec{f}_s
vec{F}
vec{N}
vec{W}
Questions & Answers
QUESTION:
IP You want to nail a board onto the wall of a barn. To position the board before nailing,you push it against the wall with a horizontal force \(\mathrm {\vec F}\) to keep it from sliding to the ground (Figure 6-28). (a) If the coefficient of static friction between the board and the wall is , what is the least force you can apply and still hold the board in place? (b) What happens to the force of static friction if you push against the wall with a force greater than that found in part (a)?
Equation Transcription:
Text Transcription:
vec{F}
vec{f}_s
vec{F}
vec{N}
vec{W}
ANSWER:
a.)
Step 1 of 3
We have to find the least force one has to apply and still hold the board in place to nail a 1.6-kg board onto the wall of a barn.
The least force that has to be apply and still hold the board in place can be found by using the equations for net force acting in and direction.
Where,
is the frictional force in N
mass of the board = 1.6 kg
m/s2
and
Where,
least force to be applied in n
normal force in N