The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The r…

Question

The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass of $M$ . Two blocks of mass of $M$ and $m$ are attached to two ends of a light string passing over the pulley, which is hinged to rotate freely in vertical plane about its center. The magnitudes of the acceleration experienced by the blocks is _____ (assume no slipping of string on pulley).

A pulley with a circular rim and two crossed diametrical rods, with a light string over it carrying blocks m and M on opposite sides.

A
$\frac{(M-m)g}{\left(\frac{13}{6}\right)M + m}$
B
$\frac{(M-m)g}{\left(\frac{8}{3}\right)M + m}$
C
$\frac{(M-m)g}{2M + m}$
D
$\frac{(M-m)g}{M + m}$

Accepted Answer

B. $$\frac{(M-m)g}{\left(\frac{8}{3}\right)M + m}$$

Answer

A. $$\frac{(M-m)g}{\left(\frac{13}{6}\right)M + m}$$

Answer

C. $$\frac{(M-m)g}{2M + m}$$

Answer

D. $$\frac{(M-m)g}{M + m}$$

Answer & step-by-step solution

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