Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a 1200-N horizontal component, determine (a) the magnitude of the force P(b) its vertical component.

Step: 1

Draw the free body diagram showing the horizontal and the vertical components of the force P.

Step: 2

(a) The horizontal component of force P is 1200 N. Mathematically, it can be written as follows:

Force P makes an angle with the vertical. Therefore, the angle with respect to the horizontal is obtained as below.

From the concept of resolution of forces, the x component of force P is given as follows:

Here, the angle is taken as with respect to the horizontal.

Substitute for in the equation.

Therefore, the magnitude of force P is .

Step: 3

(b) The vertical component of the force P is given as follows:

Substitute for P in the equation.

Therefore, the magnitude of the vertical component of force P is