Chapter 5, Problem 6STP

To determine

To choose: The correct option.

Answer to Problem 6STP

The correct option is (B), 80 N.

Explanation of Solution

Given:

Force is 95.3 N.

The y -component of a force is exerted at an angle of $57.1°$ .

Formula used:

A vector R can be resolved into horizontal and vertical components and it is lated to the vector using angle it makes with the horizontal axis as shown below.

  

Figure 1

The x -and y -component of the vector is given by,

  $\begin{array}{l}{R}_x=R\cos \theta \\ R_y=R\sin \theta \end{array}$

Calculation:

Now, consider the given force 95.3-N exerted at an angle 57.1^o to the horizontal as shown in the Figure 2.

  

From Figure 2, the y -component of the vector is given by,

  $\begin{array}{c}{R}_y=95.3\sin 57.1°\\ =80.01\text{ N}\\ \simeq \text{80 N}\end{array}$

Conclusion :

Thus, the correct option representing the y -component of the given force is (B).