SATHEE: Rotation 3 Question 1

Rotation 3 Question 1

7. A mass $m$ supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$ . If the string does not slip on the cylinder, with what acceleration will the mass fall on release? (2014 Main)

(a) $2 g / 3$

(b) $g / 2$

(d) $g$

Show Answer

Answer:

Correct Answer: 7. (b)

Solution:

For the mass $m, m g - T = m a$

As we know, $a = R α$

So, $m g - T = m R α$

Torque about centre of pully

$T \times R = m R^{2} α$

From Eqs. (i) and (ii), we get, $a = g / 2$

Hence, the acceleration with the mass of a body fall is $g / 2$ .

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Rotation 3 Question 1

7. A mass m supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release? (2014 Main)

Answer:

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7. A mass $m$ supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$ . If the string does not slip on the cylinder, with what acceleration will the mass fall on release? (2014 Main)