Question

in the system pulley is smooth. string is massless and inextensible. find the acceleration, tensions(g=10m/s2 ​

Answer 1

Explanation:

M1 = 2 kg

M2 = 4 kg

M3 = 6 kg

M2 and M3 are attached aside of the pulley and moving downward. Whereas M1 is moving against gravity by acceleration 'a'

Hence acceleration can be given by

$a \: = \frac{(m2 \: + \: m3) - m1}{m1 \: + m2 \: + m3} g \\ \\ a \: = \frac{4 + 6 - 2}{2 + 4 + 6} \times 10 \\ \\ a = \: \frac{8 \times 10}{14}$

Acceleration = 5.85 m/s^2

Tension in string (2)

T2 = m3g = 60 N

T1 = T2 + m2g

T1 = 60 + 40 = 100 N