Figure I
Figure II
C1981M2. A swing seat of mass M is connected to a fixed point P by a massless cord of length L . A child also of mass M sits on the seat and begins to swing with zero velocity at a position at which the cord makes a 60∘ angle with the vertical is shown in Figure I. The swing continues down until the cord is exactly vertical at which time the child jumps off in a horizontal direction. The swing continues in the same direction until its cord makes a 45∘ angle with the vertical as shown in Figure II: at that point it begins to swing in the reverse direction.
a) Determine the speed of the child and seat just at the lowest position prior to the child's dismount from the seat
b) Determine the speed if the seat immediately after the child dismounts
c) Determine the speed of the child immediately after he dismounts from the swing?