Question

1-) Two blocks of mass 3.SO kg and 8.00 kg are connected by a massless string that passes over a

frictionless pulley. The inclines are frictionless. Find;

(a) the magnitude of the acceleration of each block and

(b) the tension in the string.

Answer 1

The magnitude of the acceleration of each block is, a = 2.56 m/s²

The tension in the string is, T = 43.05 N

Step-by-step explanation:

Given data,

The larger block of mass, M = 8.00 kg

The smaller block of mass, m = 3.50 kg

The formula for Atwood machine is,

Ma = Mg - T

ma = T - mg

Adding those equations,

a (M + m) = g ( M - m)

a = (M + m) / ( M - m)

Substituting the values,

a = (8 + 3.5) / (8 - 3.5)

= 2.56 m/s²

The magnitude of the acceleration of each block is, a = 2.56 m/s²

The tension in the string,

T = m(a + g)

= 3.5 ( 2.56 + 9.8)

= 43.05 N

The tension in the string is, T = 43.05 N