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As per given figure, a weightless pulley $$P$$ is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if $$g = 10 \text{ m s}^{-2}$$)
Lets write down equation for both
For 4 Kg
$$Mg\sin\theta_1\ -T=Ma$$
$$40\sin60^{\circ\ }\ -T=4a$$
For 1 Kg
$$T-mg\sin\theta_2\ =ma$$
$$T-10\sin30^{\circ\ }\ =a$$
Now add 2 equations
$$40\sin60^{\circ\ }-10\sin30^{\circ\ }\ =5a$$
$$40\times\ \frac{\sqrt{\ 3}}{2}-10\times\ \frac{1}{2}\ =5a$$
$$20\ \sqrt{\ 3}-5\ =5a$$
$$4\sqrt{\ 3}-1=a$$
Now substitute a in any equation
$$T-10\sin30^{\circ\ }\ =4\sqrt{\ 3}-1$$
$$T-5\ =4\sqrt{\ 3}-1$$
$$T=4\sqrt{\ 3}+4\ =\ 4\left(\sqrt{\ 3}+1\right)$$
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