Question

A mass 2m lies on a fixed, smooth cylinder. an ideal string attached to 2m passes over the cylinder to mass m. then the value of angle theta for which system is in equilibrium

Answer 1

Answer:

Explanation:

=> Here, a mass 2m lies on a fixed, smooth cylinder.

=> An ideal string attached to 2m passes over the cylinder to mass m.

Here, FBD (free body diagram)  is given in image. According to it,

T - Mg = 0

∴ T = Mg ... (1)

2Mgsinፀ = T ...(2)

=> From equation (1) and (2), we obtain

2Mgsinፀ = Mg

2 sinፀ = 1

sin ፀ = 1/2 [Sin 30° = 1/2]

∴ ፀ = 30°

Thus,  the value of angle theta for which system is in equilibrium is 30°

Answer 2

Answer:

Explanation:

Explanation:

=> Here, a mass 2m lies on a fixed, smooth cylinder.

=> An ideal string attached to 2m passes over the cylinder to mass m.

Here, FBD (free body diagram)  is given in image. According to it,

T - Mg = 0

∴ T = Mg ... (1)

2Mgsinፀ = T ...(2)

=> From equation (1) and (2), we obtain

2Mgsinፀ = Mg

2 sinፀ = 1

sin ፀ = 1/2 [Sin 30° = 1/2]

∴ ፀ = 30°

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