First slide

Constraints

Question

Consider the system shown in fig. The pulley and the string are light and all the surfaces are frictionless. The tension in the string is (take g = 10 m/s²)

Moderate

A

0 N
B

1 N
C

2 N
D

5 N

Solution

See fig.
From figure, 1g -T = 1 a and T = 1 a
From eqs. (1) and (2), we get
1g-1,a=1a or 2a=g
$∴ a = (g / 2) = (10 / 2) = 5 m / s^{2}$
So, T=ma=1x 5=5N.

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