Question

Two bodies A and B are attached to the ends of a string which passes over a pulley so that the two bodies hang vertically. If the mass of the body A is 4.8 kg. Find the mass of body B which moves down with an acceleration of 0.2 m/s2. The value of g can be taken as 9.8 m/s2 *​

Answer 1

Answer :

Mass of body A (m₁) = 4.8 kg

Acceleration of system = 0.2m/s²

Acceleration due to gravity = 9.8m/s²

We have to find mass of body B$.$

★ We know that force is measured as the product of mass and acceleration. F = m × a

Force on block A : m₁g (downward)

Force on block B : m₂g (downward)

∴ Net force on the system will be

• F = (m₂ - m₁)g

➠ F = (m₁ + m₂) a

➠ (m₂ - m₁) g = (m₁ + m₂) a

➠ (m₂ - 4.8) 9.8 = (4.8 + m₂) 0.2

➠ 9.8m₂ - 47.04 = 0.96 + 0.2m₂

➠ 9.6m₂ = 48

➠ m₂ = 48/9.6

➠ m₂ = 5kg