14. What is the magnitude of the normal force acting on the block to the right the block is being pulled to the right by means of a rope and an angle of theta = 30° above the horizontal as shown the block weighs 20 N and the block ground interface is frictionless

14 What is the magnitude of the normal force acting on the block to the right the block is being pulled to the right by means of a rope and an angle of theta 30 class=

Respuesta :

Given,

The angle in which the force is applied, θ=30°

The weight of the block, W=20 N

The applied force, F_app=10.0 N

As the block is in vertical equilibrium, the net vertical force on the block is zero.

Therefore,

[tex]\begin{gathered} N+F\sin \theta=W \\ \Rightarrow N=W-F\sin \theta \end{gathered}[/tex]

Where N is the normal force acting on the block.

On substituting the known values,

[tex]\begin{gathered} N=20-10\sin 30\degree \\ =15\text{ N} \end{gathered}[/tex]

Thus the magnitude of the normal force acting on the block is 15 N