A particle P of weight W newtons is attached to one end of a light inextensible string - Edexcel - A-Level Maths Mechanics - Question 1 - 2014 - Paper 1

To find the weight W of the particle P, we resolve the vertical forces.

Using the equilibrium condition for the vertical forces:

$W = T \times cos(25°)$

Substituting the value of T we calculated earlier:

$W = (5 \times sin(65°)) \times cos(25°)$

Calculating this:

First, we compute: $sin(65°) \approx 0.9063$ and $cos(25°) \approx 0.9063$

Thus:

$W = (5 \times 0.9063) \times 0.9063 \approx 4.53 \times 0.9063 \approx 4.1151 \text{ N}$

Therefore, the value of W is approximately 4.12 N.