wo masses 52 kg and 48 kg are attached to the ends of a string that passes over a frictionless pulley

Question

Two masses 52 kg and 48 kg are attached to the ends of a string that passes over a frictionless pulley. Find the tension in the string and acceleration in the bodies when both the masses are moving vertically. $(500 N, 0.4 ms^{-2})$

Accepted Answer

Solution:

m1 = 52 kg and m2 = 48 kg

Tension T =?

Acceleration a =?

T =$\frac{ (2m_1 m_2)}{(m_1+ m_2 )}$g

T = $\frac{(2 ×52 ×48)}{(52 + 48)} imes$ 10

T = $\frac{49920}{100}$

T = 499.20 ≈ 500 N

a =$\frac{(m_1 – m_2)}{(m_1+ m_2 )}g$

a = $\frac{(52 - 48)}{(52 + 48)} imes 10$

a =$\frac{4}{100} imes 10$

a = 0.4 $ms^{-2}$