physics: cassette tape unwinding problem of spool 1 being unwound by spool 2?

Question

given: spools 1 (left) & 2 (right) are free to rotate about their centers A & B; constant spool radii: r1 & r2; cassette tape of constant thickness e and constant total length S is wound around spool 1; end of tape from spool 1 is pulled & attached to spool 2; tape leaves spool1 tangent at pt. of departure C above A, making angle gamma from the vertical; tape meets spool2 tangent at pt. of entry D above B, making angle delta from vertical; tape around spool 1 makes total radius R from A to C; distance d (bet. A&B) > R+r2; spool2 unwinds spool1 w/ constant clockwise angular velocity omega2; define angle phi as angle between CD and horizontal w/ vertex at D;
Find: angular velocity vector omega1(t) at any time t, angular acceleration vector alpha1(t), velocity vector v(t) and a(t) at C, phi(t), velocity vector d[phi(t)]/dt, acceleration vector d^{2[phi(t)]/dt2, R(t).
pls. show solution, assumptions, conventions, differential equations or matrix solutions}

Answer 1

How, that's a big much to ask of a volunteer. Start with finding radius versus wound tape length , assuming a conserved tape volume. The rest is plane geometry.