Question

The handle of a grass roller is pulled by a force of 50 N.If the handle makes an angle of 30 degrees with the horizontal, calculate the magnitudes of the horizontal and the vertical components of the force by a vector diagram.

Answer 1

Answer:

given, F=50N

the angle made with the horizontal is 30degrees

horizontal component of force will be Fcos30

=50√3/2=25√3N

vertical component of force will be Fsin30

=50/2=25N

Answer 2

The magnitudes of the horizontal and the vertical components of the force by a vector diagram are  $25\sqrt{3} N$ and $25N$

Given:

A grass roller is pulled by a force of 50 N and the handle makes an angle of 30 degrees with the horizontal.

To find:

The magnitudes of the horizontal and the vertical components of the force

Solution:

The force of 50 N i.e., F = 50N

The vector diagram is shown below

30 degrees is the angle formed with the horizontal, i.e., ∅ = 30°

Thus, Fcos30 will be the horizontal component of force.

Magnitude of the horizontal component  $=\frac{50\sqrt{3} }{2}$

                                                                       $= 25\sqrt{3} N$

Thus, Fsin30 will be the vertical component of force.

Magnitude of the vertical component $=\frac{50}{2}$

                                                               $=25N$

Therefore, The magnitudes of the horizontal and the vertical components of the force by a vector diagram are  $25\sqrt{3} N$ and $25N$

#SPJ2