A man tries to pull out a nail on the wall with a string attached to the head of the nail and pull at an angle of 30 degree to the wall if the tension in the string is 15N. Calculate the force effective pulling out the nail.
A = 90 - 30 = 60 deg. above positive
x-axis.
Fh = hor. = 15cos60 = 7.5N.
To calculate the effective force pulling out the nail, we need to break down the tension force into its components.
The tension force has two components - one along the wall (horizontal component) and one perpendicular to the wall (vertical component).
Given that the angle between the string and the wall is 30 degrees, we can use trigonometry to find the magnitude of these components.
The vertical component of the tension force, which is the force pulling the nail out, can be calculated using the equation:
Force_vertical = Tension * sin(angle)
Plugging in the values we have:
Force_vertical = 15N * sin(30°)
= 15N * 0.5
= 7.5N
Therefore, the effective force pulling out the nail is 7.5 Newtons.