cable with known tension force T is anchored at C and passes over a frictionless drum (see figure). The pin force components $B _ { x } \text { and } B _ { y }$ $\text { (in terms of cable force variable } T \text { ) }$ or the pin connection at B are:

A) $- T , - T$
B) $- 2 T , T$
C) $- T , 2 T$
D) $- T , 3 T / 2$ T

Question

cable with known tension force T is anchored at C and passes over a frictionless drum (see figure). The pin force components $B _ { x } \text { and } B _ { y }$ $\text { (in terms of cable force variable } T \text { ) }$ or the pin connection at B are:

A) $- T , - T$ 
B) $- 2 T , T$ 
C) $- T , 2 T$ 
D) $- T , 3 T / 2$ T

Quizplus · Accepted Answer

Since the drum is frictionless, the tension force throughout the cable must be constant. Thus, the tension force at B must also be T. Since the cable is in equilibrium, the sum of the forces at point B must be zero. The pin force B can be resolved into its x and y components as follows:
$$B_x=-T$$
$$B_y=-T$$
Therefore, the correct choice is A.

Cable with Known Tension Force T Is Anchored at C Bx and ByB _ { x } \text { and } B _ { y }Bx​ and By​

Cable with Known Tension Force T Is Anchored at C $B _ { x } \text { and } B _ { y }$