In the nail puller shown in the figure below you exert a force 49.6 cm from the pivot and the nail is 1.90 cm on the other side. What minimum force must you exert to apply a force of 1460 N to the nail to pull the nail up?
In the nail puller shown in the figure below you exert a force 53.2 cm from the pivot and the nail is 1.50 cm on the other side. What minimum force must you exert to apply a force of 1380 N to the nail to pull the nail up?
=
38.9 N
What is the mechanical advantage of the nail puller?
=
35.5
how do you get the answers, what are the steps?
Probably F * 49.6 = 1460 * 1.90
but I do not see a figure
To determine the minimum force required to pull up the nail, we can use the principle of moments. The principle of moments states that the sum of the moments acting on an object at equilibrium must be zero.
We can calculate the moments using the formula: Moment = Force × Distance.
In this case, the moment exerted by the force you exert is equal to the moment exerted by the nail resistance. Therefore, we can set up the following equation:
(Force exerted by you)(Distance from pivot) = (Force exerted by the nail)(Distance from pivot)
Let's plug in the given values:
(Force exerted by you)(49.6 cm) = (1460 N)(1.90 cm)
Now we can solve for the force exerted by you:
Force exerted by you = (1460 N)(1.90 cm) / (49.6 cm)
Calculating this expression gives the minimum force exerted by you to pull the nail up.
To determine the minimum force needed to pull the nail up, we can use the principle of moments. Moments are calculated by multiplying the force applied by the perpendicular distance from the pivot.
Step 1: Calculate the moment exerted by the force on one side of the pivot.
Moment1 = Force1 × Distance1
= 49.6 cm × (14.6 cm)
Step 2: Calculate the moment exerted by the nail on the other side of the pivot.
Moment2 = Force2 × Distance2
= 1460 N × (1.90 cm)
Step 3: Since the nail is being pulled up, the clockwise moment exerted by the force should be equal to the anticlockwise moment exerted by the nail.
Moment1 = Moment2
Step 4: Now, rearrange the equation to solve for the minimum force needed to pull the nail up,
Force2 = (Moment1 / Distance2)
Substituting the given values,
Force2 = (Moment1 / 1.90 cm)
Hence, to find the minimum force required to pull the nail up, you need to calculate the moment exerted by the force and divide it by the distance of the nail from the pivot.