Question

Part A: Suppose the direction of the force changes from a 48° angle with the

Answer 1

Answer:

Horizontal Component of Force decreases and Vertical Component Increases.

Step-by-step explanation:

The rectangular components of a Force are given by:

Horizontal Component:

$F_{x}=Fcos(\theta)$

Vertical Component:

$F_{y}=Fsin(\theta)$

Here, F represents the magnitude of the Force and Θ is the angle between the Force F and the horizontal.

The initial value of Θ is 48 degrees. So under this condition the rectangular components will be:

$F_{x}=Fcos(48)=0.67F\\\\ F_{y}=Fsin(48)=0.74F$

On increasing the angle to 70 degrees, the new rectangular components will be:

$F_{x}=Fcos(70)=0.34F\\\\ F_{y}=Fsin(70)=0.94F$

From the above calculations we can see that on increasing the angle made by the Force with floor from 48 degrees to 70 degrees:

• Horizontal component decreases from 0.67F to 0.34F
• Vertical component increases from 0.74F to 0.94F

If the value of Force F is known, the exact value of rectangular components can be calculated from the previous expressions.