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 find the effective force which tends to pull the nail out of the wall and the force which bends the nail.

extract ... force * cosine angle

bend ... force * sine angle

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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 find the effective force which tends to pull the nail out of the wall and the force which bends the nail.

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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

answer please

force*cosine angle

force*sine angle

To solve this problem, we need to break down the forces involved into their components.

1. Effective force pulling the nail out of the wall (F_effective):
The effective force can be found by resolving the force applied at an angle to the vertical direction. In this case, the force applied is 80N and it makes an angle of 60 degrees with the horizontal.

We can use trigonometry to find the component of the force in the vertical direction (F_vertical):
F_vertical = F_applied * sin(angle)
F_vertical = 80N * sin(60 degrees)
F_vertical = 80N * √3 / 2
F_vertical ≈ 69.28N

So, the effective force pulling the nail out of the wall is approximately 69.28N.

2. Force that bends the nail (F_bend):
The force that bends the nail can be found by resolving the force applied at an angle to the horizontal direction.

We can use trigonometry to find the component of the force in the horizontal direction (F_horizontal):
F_horizontal = F_applied * cos(angle)
F_horizontal = 80N * cos(60 degrees)
F_horizontal = 80N * 1 / 2
F_horizontal = 40N

So, the force that bends the nail is 40N.

Therefore, the effective force which tends to pull the nail out of the wall is approximately 69.28N and the force which bends the nail is 40N.