The image 8. Two thin rods of length L whose ends are attached to a frictionless hinge as shown in the diagram.Rod a of mass m, hangs horizontally while the rod b of mass m, hangs vertically. At time t = 0 , roda is allowed to free fall.m.hingehinge(a) Compute the angular deceleration of rod a as afcosofunction of the angle 0. [What is the torque on rod a ?](b) Determine the angular velocity o, of rod a just beforeit collides with rod b. Ipmt = m,L /3.(c) The two rods are identical. Prove that upon elastic collision, rod a must come to a stop(@y =0), and rod b rotates with an angular velocity as computed in part (b), that is (@, = W).Simply use the concept of conservation of angular momentum and energy for the proof. Neatness inwriting your algebra expressions should help.

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8. Two thin rods of length L whose ends are attached to a frictionless hinge as shown in the diagram. Rod a of mass m, hangs horizontally while the rod b of mass m, hangs vertically. At time t = 0 , rod a is allowed to free fall. hinge hinge (a) Compute the angular deceleration of rod a as a fcoso function of the angle 0. [What is the torque on rod a ?] (b) Determine the angular velocity m, of rod a just before it collides with rod b. Ind = m,L² /3. (c) The two rods are identical. Prove that upon elastic collision, rod a must come to a stop (0y =0), and rod b rotates with an angular velocity as computed in part (b), that is (», = ,). Simply use the concept of conservation of angular momentum and energy for the proof. Neatness in writing your algebra expressions should help.

8. Two thin rods of length L whose ends are attached to a frictionless hinge as shown in the diagram. Rod a of mass m, hangs horizontally while the rod b of mass m, hangs vertically. At time t = 0 , rod a is allowed to free fall. hinge hinge (a) Compute the angular deceleration of rod a as a fcoso function of the angle 0. [What is the torque on rod a ?] (b) Determine the angular velocity m, of rod a just before it collides with rod b. Ind = m,L² /3. (c) The two rods are identical. Prove that upon elastic collision, rod a must come to a stop (0y =0), and rod b rotates with an angular velocity as computed in part (b), that is (», = ,). Simply use the concept of conservation of angular momentum and energy for the proof. Neatness in writing your algebra expressions should help.