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