(Solved): 2. A star shaped sign is attached to a wall at a hinge at one of its points, and is attached to a ...

2. A star shaped sign is attached to a wall at a hinge at one of its points, and is attached to a rope at a different point (as shown). The mass of \( 20.0 \mathrm{~kg} \), and the distance, \( \ell \), is \( 28.0 \mathrm{~cm} \). a. Noting that \( x_{c m}=\frac{\ell}{2} \hat{\imath} \) relative to the pivot. Find the magnitude and direction of the gravitational torque on the star? b. The rope is angled so that the tension force is \( \vec{F}_{T}=(123 \hat{\imath}+86.0 \hat{\jmath}) \mathrm{N} \). What is the torque on the star due to the rope? Include direction. c. What is the net torque on the star about the pivot? What is the sense (CCW or CW) of the net torque?