Using free body diagram show that it is easy to pull an object than to push it

Explanation

When a body is pushed at an arbitrary angle `theta` that varies from `(p " to " (pi )/(2))` . The applied force F can be resolved into two components as F sin `theta` parallel to the surface and F cos `theta` prependicular to the surface . The total downward force acting on the body mg + F cos `theta` . It is implied that the normal force acting on the body increase . since there is no acceleration along the vertical direction the normal force N is given by
As a result the maximal static friction also increases and that is equal to
`f_(s) ^(max) = mu_(s) N_(push)`
`-mu_(s ) (mg + F cos theta)`
Equation shows that a greater force needs to be applied to push the object into motion

When an object is pulled at an angle `theta` the apllied force is resolved into two components . The total downward force acting on the object is

Equation (3) shows that the normal force is less that `N_(push)` From equation `(1) ` and (3) we know that it is easier to pull an object that to push to make it move.