Laws Of Motion Question 1

Question 1 - 24 January - Shift 1

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 $g=$ $10 m / s^{2}$ )

(1)$(4 \sqrt{3}+1) N$

(2) $4(\sqrt{3}+1) N$

(3) $4(\sqrt{3}-1) N$

(4) $(4 \sqrt{3}-1) N$

Show Answer

Answer: (2)

Solution:

Formula: Second Law Of Motion

$4 g \sin 60^{\circ}-T=4 a$

$4 g \sin 60^{\circ}$

$g \sin 30^{\circ}$

$T-g \sin 30^{\circ}=a$

Solving (1) and (2) we get.

$20 \sqrt{3}-T=4 T-20$

$T=4(\sqrt{3}+1) N$