The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be:

Question

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be: (A)  0o  (B)  30o  (C)  45o  (D)  60o

Tardigrade Admin · Accepted Answer

From force diagram shown in figure, T=mg ...(i) and 2T cos θ =√2mg ...(ii) Combining Eqs.(i) and (ii), we have 2m cos θ =√2 mg or cos θ =(1/√2) or θ =45o

Q. The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $θ$ should be:

$0^{o}$

$30^{o}$

$45^{o}$

$60^{o}$

From force diagram shown in figure, $T = m g$ ...(i) and $2 T cos θ = 2 m g$ ...(ii) Combining Eqs.(i) and (ii), we have
$2 m cos θ = 2 m g$ or $cos θ = \frac{1}{2}$ or $θ = 45^{o}$

Q. The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be:

0o

30o

45o

60o