如图 所示的是甲、乙两个滑轮组提升重物.物重G1和G2之比是2:1;甲滑轮组中动滑轮重G甲与G1之比是1:5;乙滑轮组中两个动滑轮总重G乙与G2之比是3:5(不计摩擦、绳重)则甲、乙两个滑

问题描述:

如图  所示的是甲、乙两个滑轮组提升重物.物重G1和G2之比是2:1;甲滑轮组中动滑轮重G与G1之比是1:5;乙滑轮组中两个动滑轮总重G与G2之比是3:5(不计摩擦、绳重)则甲、乙两个滑轮组的机械效率之比是______.


由题知,G1:G2=2:1,
设G1=20N,则G2=10N,
∵G:G1=1:5,
∴G=4N,
∵G:G2=3:5,
∴G=6N,
∵不计摩擦、绳重,
∴η=

G1h
(G1+G)h
=
G1
G1+G
=
20N
20N+4N
=
20N
24N

η=
G2h
(G2+G)h
=
G2
G2+G
=
10N
10N+6N
=
10N
16N

∴η:η=
20N
24N
10N
16N
=4:3.
故答案为:4:3.