A nail on a vertical wall is pulled by means of a chord attached to its head if the chord makes an angle of 60deg to the horizontal and it exact a force of 80N on the nail
1.find the effective force which tends to pull the nail out of the wall and the force which bends the nail.
2. The force which tend to bend the nail.?
To find the effective force which tends to pull the nail out of the wall, we can resolve the force applied by the chord into its horizontal and vertical components.
1. The horizontal component of the force applied by the chord is given by: F_horizontal = F * cos(angle)
where F is the force applied by the chord (80N) and angle is the angle made by the chord with the horizontal (60 degrees).
Plugging in the values: F_horizontal = 80N * cos(60 degrees)
F_horizontal = 80N * 0.5
F_horizontal = 40N
Therefore, the horizontal component of the force is 40N, which tends to pull the nail out of the wall.
2. The vertical component of the force applied by the chord is given by: F_vertical = F * sin(angle)
Plugging in the values: F_vertical = 80N * sin(60 degrees)
F_vertical = 80N * (√3 / 2)
F_vertical ≈ 69.3N
Therefore, the vertical component of the force is approximately 69.3N, which tends to bend the nail.
In conclusion:
- The effective force which tends to pull the nail out of the wall is the horizontal component of the force, which is 40N.
- The force which tends to bend the nail is the vertical component of the force, which is approximately 69.3N.