Question

A solid cylinder of mass M and radius 2R is connected to a string through a frictionless yoke and axle. The string runs over a disk shaped pulley of mass M and radius R. The mass M is attached to the other end of the string. The cylinder rolls without slipping on the table top. Find the acceleration of the block after the system is released from rest.

• A. $\frac { 2 \mathrm {~g} } { 5 }$
• B. $N$
• C. $\omega$
• D.

Answer 1

Answer: (C)

$\omega$

Answer 2

2r α₁ = r α₂ or α₂ = 2α₁

(T₂ – T₁)R = $\left( \frac { \mathrm { MR } ^ { 2 } } { 2 } \right)$ (2α) or T₂ – T₁ = Ma ………. (i)

Mg – T₁ = Ma ……… (ii)

T₂ (2R) = (α) or T₂ = Ma ………. (iii)

Adding (i), (ii) and (iii) a = g/3