A 3000 kg truck is on a cliff and is tied with a rope to a 78 kg person hanging over the cliff. If the cliff is very icy ( frictionless), what is the magnitude of acceleration of the system?

Explanation

As a cliff is very firictionless, so it can be considered as frictionless pulles.

From FBD of truck
`T-m_(1)a=0`
` T=m_(1)a=3000a`……(i)
FBD iof man
`m_(2)g-T=m_(2)a`
`78g-T=78a`
Puttingn the value of T from Eq. (i)
78g-3000a=78a
3078a=78g
`a=(78xx10)/(3078)=0.25 ms^(-2)`