Question

Cylinder A has a mass of 2kg and cylinder B has a mass of 10kg. Determinethe velocity of A after it has displaced 2m from its original starting position. Neglect the mass of the cable and pulleys and assume that both cylinders start at res

Answer 1

The velocity of A is 5.16m/s²

Step-by-step explanation:

Given-

mass of cylinder A, mₐ = 2kg

mass of cylinder B, mb = 10kg

Distance, s = 2m

Velocity of A, v = ?

Let acceleration due to gravity, g = 10m/s²

We know,

`a = (mb * g - ma * g)/(ma + mb) \\\\a = (10 * 10 - 2 * 10)/( 2 + 10) \\\\a = (80)/(12) \\\\a = 6.67m/s^2`

We know,

`v = √(2as)`

`v = √(2 X 6.67 X 2) \\\\v = √(26.68) \\\\v = 5.16m/s^2`

Therefore, the velocity of A is 5.16m/s²