Question

A cat of mass m = 1 kg climbs to a rope hung over a leight frictionless pulley. The opposite end of the rope is tied to a weight of mass M = 2m lying on a smooth horizontal plane. What is the tension of the rope where the cat move upwards with in acceleration `a = 2 m//s^(2)` relative to the rope ?

Answer 1

Correct Answer - 4

`vec(a)_("cat") = (2 - a)` upwards `= vec(a)_("cat/Rope") + vec(a)_("rope")`
`T - 1 g = 1 (2 - a)` …(1)
`2T = 2 (a)/(2)` … (2)