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A block of mass M(1)=3kg on a smooth fix...

A block of mass `M_(1)=3kg` on a smooth fixed inclined plane of angle `30^(@)` is connected by a cord over a small frictionless pulley to a second block mass `2kg` hanging vertically. The tension in the cord and the acceleration of each block are `……….............` and `......................` respectively.

Text Solution

Verified by Experts


`FBD` of block `M_(2)=2kg`

`20-T=2a` …..`(i)`
`FBD` of block `M_(1)=3kg`

`=3xx(10sqrt(3))/(2)`
`=15sqrt(3)N`
`=15N`
`T-15=3a` ....`(ii)`
`(i)+(ii)`
`5=5a`
`rArr a=1m//s^(2), T=18N`.
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