Tension of the object is = 12.25
Acceleration of the system= 7.35 m/s²
Explanation:
Given
mass of A= 1kg
mass of B= 2kg
angle = 30°
let us consider the second mass m₂ of object B
m₂g - T = m₂a
T + 2a= 2 × 9.8
T + 2a= 19.6
where T denotes the tension of the cord and "a" being the acceleration.
Now considering mass m₁ of object A
T - m₁gsin θ = m₁a
T - (9.8 × sin30°) = a
T - a = 4.9
on solving the above equations we get,
T + 2a = 19.6
T - a = 4.9
The tension T of the object is = 12.25
Acceleration a of the system= 7.35 m/s²
