Explanation+ Answer: The tension in the string is equal to the force that is acting on the object to keep it from falling. This force is equal to the component of the force of gravity that is perpendicular to the string.
The force of gravity is equal to mg, where m is the mass of the object and g is the acceleration due to gravity. The component of the force of gravity that is perpendicular to the string is equal to mgsinθ, where θ is the angle between the string and the vertical.
Therefore, the tension in the string is equal to mgsinθ.
I now did the equation for the force of gravity: F
g =mg. mgcosθ = T
where:
m is the mass of the object
g is the acceleration due to gravity
θ is the angle between the string and the vertical
T is the tension in the string
To solve for T, we can divide both sides of the equation by cosθ:
T = mg / cosθ
Therefore, the answer to the equation is mg / cosθ.