The mechanical advantage of a machine is always greater than 1. true or false

False

Explanation:

The Mechanical Advantage () of a machine is an adimensional quantity defined as the ratio of the output force and the input force :

It is important to note that can be equal to 1, greater than 1 or less than 1:

-When ,  

-When ,   This type of machines make task easiers

-When ,  

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west