Two objects (49.0 and 18.0 kg) are connected by a massless string that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the tension in the string.

Question

anonymous · Answer

Equation For Object1 { M1= 18kg}

T-m1g= m1a
=> T = m1a + m1g   .........Eq1

Equation For Object2 { M2= 49 Kg}

T- m2g = -m2a

=> T = m2g - m2a........ Eq 2

Equating eq 1 and 2... we get

m1a + m1g = m2g - m2a

=>m1a +m2a = m2g - m1g

=> 18a + 49a = 49g - 18g
 
=> 67a = 31g

=> a = 31g/67

So acceleration is 31g/67

And Tension = 18 * 31g/67 +18a