FIGURE 11-6
-A store's sign, with a mass of 20.0 kg and 3.00 m long, has its center of gravity at the center of the sign. It is supported by a loose bolt attached to the wall at one end and by a wire at the other end, as shown in Figure 11-6. The wire makes an angle of 25.0° with the horizontal. What is the tension in the wire?
A) 464 N
B) 232 N
C) 116 N
D) 196 N
E) 297 N

Question

FIGURE 11-6 
-A store's sign, with a mass of 20.0 kg and 3.00 m long, has its center of gravity at the center of the sign. It is supported by a loose bolt attached to the wall at one end and by a wire at the other end, as shown in Figure 11-6. The wire makes an angle of 25.0° with the horizontal. What is the tension in the wire?
A) 464 N 
B) 232 N 
C) 116 N 
D) 196 N 
E) 297 N

Quizplus · Accepted Answer

The tension in the wire can be calculated using the equilibrium of torques. The torque due to the weight of the sign (acting at its center of gravity) must be balanced by the torque due to the tension in the wire. Using the formula for torque (τ = rFsinθ), and considering the geometry and forces involved, the tension in the wire is found to be 232 N.

FIGURE 11-6 -A Store's Sign, with a Mass of 20.0 Kg and 20.0