The blocks of mass $m$ each are connected by a string over a pulley, as shown in figure.The table is smooth. Moment of inertia of pulley is $I$ . Find out acceleration of the hanging mass.

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Solution

$T = m a$
$m g - T = m a$
$m g = 2 m a$ $\Rightarrow a = \frac{g}{2}$

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Q. Figure shown, two block of mass

m

and

M

connected by a string passing over a pulley. The horizontal table over which the mass

m

slides is smooth. The pulley has a radius

r

and moment of inertia

I

about its axis and it can freely rotate about this axis. find the acceleration of the mass

M

assuming that the string does not slip on the pulley.

Figure (10-E4) shows two blocks of masses m and M connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley has a radius r and moment of inertia I about its axis and it can freely rotate about this axis. Find the acceleration of the mass M assuming that the string does not slip on the pulley.