did eastern michigan ever beat michigan?

Answer 1

No. Michigan is undefeated against Eastern Michigan, 7 wins, 0 losses. Results:
1896-10-03 Michigan won 18-0
1897-10-02 Michigan won 24-0
1898-10-01 Michigan won 21-0
1930-09-27 Michigan won 7-0
1931-10-03 Michigan won 34-0
1998-09-19 Michigan won 59-20
2005-09-17 Michigan won 55-0

In fact, Michigan is undefeated against Mid-American teams, a perfect 20 wins, 0 losses. Results:
1896-10-03 vs Eastern Michigan Michigan won 18-0
1897-10-02 vs Eastern Michigan Michigan won 24-0
1898-10-01 vs Eastern Michigan Michigan won 21-0
1901-10-26 vs Buffalo Michigan won 128-0
1917-10-10 vs Western Michigan Michigan won 17-13
1924-10-04 vs Miami (Ohio) Michigan won 55-0
1930-09-27 vs Eastern Michigan Michigan won 7-0
1931-10-03 vs Central Michigan Michigan won 27-0
1931-10-03 vs Eastern Michigan Michigan won 34-0
1943-09-25 vs Western Michigan Michigan won 57-6
1995-09-30 vs Miami (Ohio) Michigan won 38-19
1998-09-19 vs Eastern Michigan Michigan won 59-20
2000-09-02 vs Bowling Green Michigan won 42-7
2001-09-01 vs Miami (Ohio) Michigan won 31-13
2001-09-22 vs Western Michigan Michigan won 38-21
2002-09-07 vs Western Michigan Michigan won 35-12
2003-08-30 vs Central Michigan Michigan won 45-7
2004-09-04 vs Miami (Ohio) Michigan won 43-10
2005-09-03 vs Northern Illinois Michigan won 33-17
2005-09-17 vs Eastern Michigan Michigan won 55-0

Average margain of victory is 33.1 points.