6. The following pulley system made of 3 massless pulleys, and the load weight `W = 300\ N`. a) What is the IMA of this system? b) Find magnitude of tension T1,T2, T3, T4, T5 and T6.
6. The following pulley system made of 3 massless pulleys, and the load weight W = 300\ N. a) What is the IMA of this system? b) Find magnitude of tension T1,T2, T3, T4, T5 and T6.
Hint
IMA is equal to the number of rope segments on the moving pulleys.
Answer
(a)`IMA = 3` (b) `T_1=T_2 = T_3= T_4 = 100\ N` `T_5 = 200\ N` `T_6 = 200\ N`
Show Steps
(a) IMA is equal to the number of rope segments pulling up on the moving pulleys (or Loading object). Count segments we get:
`IMA = 3`
(b) Given: `W = 300\ N` `IMA = F_(out)/F_(i n) = W/T_1` `T_1 = W/(IMA)` `T_1 = (300\ N)/3`
`T_1 = 100\ N`
since `T_1, T_2 , T_3, T_4` are one rope. `T_1=T_2 = T_3= T_4 = 100\ N` `T_5 = T_1+T_2`
`T_5 = 200\ N`
`T_6 = T_3+T_4`
`T_6 = 200\ N`