SATHEE: Laws of Motion 2 Question 4

Laws of Motion 2 Question 4

4. 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

(2001, 2M)

(a) $0^{\circ}$

(b) $30^{\circ}$

(d) $60^{\circ}$

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Answer:

Correct Answer: 4. (c)

Solution:

Free body diagram of $m$ is

Free body diagram of mass $\sqrt{2} m$ is

$2 T \cos θ = \sqrt{2} m g$

Dividing Eq. (ii) by Eq. (i), we get

$\cos θ = \frac{1}{\sqrt{2}} or θ = 45^{\circ}$

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Laws of Motion 2 Question 4

4. 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

Answer:

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4. 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