Components of Force Exerted by Cable on Support at B
What is the tension in the cable supporting frame ABC?
Tension: 385 N
How can we determine the components of the force exerted by the cable on the support at point B?
Tension in the Cable Supporting Frame ABC
The tension in the cable supporting frame ABC is 385 N.
Determining Components of Force Exerted by Cable on Support at Point B
When a frame ABC is supported in part by cable DBE passing through a frictionless ring at B, the tension in the cable is crucial to determine the components of the force exerted by the cable on the support at point B.
To determine the components of the force exerted by the cable on the support at point B, we need to consider the tension in the cable. The tension in the cable can be broken down into horizontal and vertical components. Let's call the horizontal component F_x and the vertical component F_y.
Since the cable passes through a frictionless ring at B, the horizontal component of the tension is balanced by the horizontal component of the support force. Therefore, F_x = 0. The vertical component of the tension is balanced by the weight of the frame and the vertical component of the support force. Therefore, F_y = Tension - Weight of the frame.
Substituting the given tension value of 385 N, we can determine that the vertical component of the force exerted by the cable on the support at point B is 385 N minus the weight of the frame.