How to Calculate Horizontal and Vertical Components of Reaction and Force in Cable?
What do we need to determine in this problem?
In this problem, we need to determine the horizontal and vertical components of reaction at the pins a and d, as well as the force in the cable.
Answer:
The horizontal and vertical components of reaction at the pins a and d are 0 lb and 300 lb, respectively. The force in the cable is 424.26 lb.
We were given the value of the load the frame supported (600 lb) and asked to find out the horizontal and vertical components of reaction at the pins a and d. We were also supposed to determine the force in the cable. To start solving this problem, we first drew a free-body diagram of the frame. In this diagram, we identified two unknown forces: the horizontal and vertical components of the reaction at pins a and d.
To determine these unknown forces, we used the principles of static equilibrium, which state that the sum of all the forces acting on a system must be zero. By applying these principles to our free-body diagram, we were able to determine that the horizontal and vertical components of the reaction at pins a and d were both equal to 300 lb.
To calculate the force in the cable, we drew a free-body diagram of block AB and again used the principles of static equilibrium. By applying these principles to our free-body diagram of block AB, we were able to determine that the force in the cable was 424.26 lb.
Main Answer:Therefore, the horizontal and vertical components of reaction at the pins a and d are 0 lb and 300 lb, respectively. The force in the cable is 424.26 lb. We have successfully calculated the horizontal and vertical components of reaction at the pins a and d, as well as the force in the cable, given the load supported by the frame.