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Problems

`6-7`

refer to the following situation and figure. A mass

`m_(1)`

and a mass

`m_(2)`

are swung around in a vertical circle. As

`m_(1)`

and

`m_(2)`

go around the vertical circle, they stay along the same line. The mass

`m_(1)=3kg`

is swung around the vertical circle with a rope that has a tension

`T_(1)`

and a length

`L=0.5m`

. The mass

`m_(2)=4kg`

is attached to

`m_(1)`

by a rope that has a tension

`T_(2)`

and a length

`L=0.5m`

. At the top of the motion, as shown in the figure below,

`m_(1)`

has a speed

`v_(1)=4(m)/(sec)`

and

`m_(2)`

has a speed

`v_(2)=8(m)/(sec)`

. Problem 6: What is the tension

`T_(1)`

at this instant? a. 223.4 N b. 243.4 N c. 263.4 N d. 283.4 N Problem 7: What is the tension

`T_(2)`

at this instant? a. 216.8 N b. 236.8 N c. 256.8 N d. 276.8 N