(Solved): answer: 2.93 m/s An object of mass \( m=1 \mathrm{~kg} \), length \( L=2 \mathrm{~m} \), and maximu ...

answer: 2.93 m/s

An object of mass \( m=1 \mathrm{~kg} \), length \( L=2 \mathrm{~m} \), and maximum width \( 2 y=0.80 \mathrm{~m} \) is hinged at its left end. The center of mass of the object is located \( 1.3 \mathrm{~m} \) from the hinge, as shown at right. Its moment of inertia around the hinge is \( 5 \mathrm{~kg} \cdot \mathrm{m}^{2} \). The hinge is frictionless: it can exert forces but not torques. The lower right corner of the object is connected to a horizontal wire that keeps the system in place. The wire is cut at time \( t=0 \). 8) What is the linear speed of the object's center of mass at the instant it has rotated \( 90^{\circ} \) ?